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to factor

to factor

3 6.6
To break a number or expression into numbers that multiply to it
  • verb
  • /ˈfæktər/
translation icon : factorizar
  • So I'll have my numerator and I'll go and factor my denominator.

So that's your answer for how to factor this quadratic.

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Examples

  • So now that we've done that, we need to factor our X&Y terms.

  • This whole left hand side is going to factor magically.

  • And we might even be able to factor it right into this form.

  • All right, So now we have to factor this somehow.

  • Then we will factor what's inside the square root.

  • So independence means the joint PDF just factors like that.

  • And if you need help learning how to factor quadratics, that is a whole other topic.

  • So that's your answer for how to factor this quadratic.

  • To see why, we first need to understand how numbers factor inside the Gaussian integers.

  • When solving this equation, you need to factor the polynomial into simpler expressions.

Synonyms

to factor out
vsto factor
  • Specialized
5.7

Write a number or expression as a product of smaller numbers

is the same meaning but uses a single-word academic form
to factorize
vsto factor
  • Specialized
8.1

To write a math expression as parts that multiply together

is the same general action without a special focus on polynomials

Phrasal Verbs

118 3.6

To include something when you calculate or decide

to factor analyze
  • Specialized
8.0

Examine many test scores or survey answers to find hidden traits

to factor out
  • Informal
6.0

Ignore something when you make a decision or calculation

to factor out
  • Specialized
5.7

Write a number or expression as a product of smaller numbers

to factor out
  • Jargon
5.0

Move repeated code into a separate function or module to avoid doing the same work twice

Compounds

A fact or condition that decides the result of something

growth factor
  • Specialized
3 3.9

A natural substance that makes cells divide and change into different types

clotting factor
  • Specialized
3 5.0

A substance in the blood that helps stop bleeding

The main thing that makes one result happen

fudge factor
  • Specialized
2 7.6

A small extra amount added to a calculation to allow for uncertainty

causal factor
  • Specialized
1 4.5

A thing or condition that directly makes something happen

common factor
  • Specialized
1 2.7

A number that divides two or more numbers exactly

factor analysis
  • Specialized
1 6.1

A method that finds a few hidden groups in many related survey questions or measurements

safety factor
  • Specialized
1 4.9

A number showing how much stronger a structure is than the weight it must carry

load factor
  • Specialized
1 8.2

The amount of extra force on an aircraft compared with its weight, measured in g

prime factor
  • Specialized
1 4.9

A number greater than one that can only be divided by one and itself and divides another number exactly

sun protection factor
  • Specialized
1 3.5

A number that shows how well sunscreen protects your skin from the sun's harmful rays

coagulation factor
  • Specialized
1 5.8

A substance in the blood that helps form clots

conversion factor
  • Specialized
1 4.0

A number used to multiply an amount in one unit to get the same amount in another unit

nerve growth factor
  • Specialized
1 5.3

A protein that helps nerve cells grow and stay healthy

Rh factor
  • Specialized
1 4.4

A protein on the surface of red blood cells that shows whether blood types match

8.6

How much someone is interested in or bothered by something, often little

Christmas factor
  • Specialized
6.5

A protein in the blood that helps blood form clots and stop bleeding

cognitive factor
  • Specialized
5.9

A part of the mind like attention and memory that affects how people think and act

Average number of binary digits needed to show one digit in another number system

absorption factor
  • Specialized
7.4

A number that shows how much incoming light or sound a material absorbs

accelerator factor
  • Specialized
6.1

A protein in the blood that helps blood form a clot faster

7.4

A B vitamin called thiamine that prevents beriberi and helps the body use energy from food

antihemophilic factor
  • Specialized
7.1

A blood protein that helps blood clot and whose lack causes hemophilia A

A vitamin that helps blood form clots, called vitamin K

A vitamin called B12 that treats a serious type of anemia

factor analytical
  • Specialized
8.2

Relating to a method in data analysis that finds a few hidden causes of many measured things

factor III
  • Specialized
6.5

A protein released by blood platelets that starts blood clotting by making thrombin

factor II
  • Specialized
7.2

A protein in blood that changes into thrombin to help blood clot

factor IV
  • Specialized
4.9

A calcium ion that helps blood form clots

factor IX
  • Specialized
5.5

A blood protein that helps stop bleeding and whose lack causes hemophilia B, a disease with heavy bleeding

factor I
  • Specialized
8.1

A blood protein that becomes fibrin to help stop bleeding

4.5

A number you multiply one amount by to get another amount that changes the same way

factor of safety
  • Specialized
4.1

How many times stronger a structure or part is than the largest force it may meet in normal use

factor analytic
  • Specialized
7.4

Relating to a method that finds a few hidden traits in lots of data

factor space
  • Specialized
8.9

A way of showing data using a few important numbers to study or compare it

factor VII
  • Specialized
5.9

A protein in the blood that helps it clot and needs vitamin K

factor VIII
  • Specialized
5.5

A protein in blood that helps form clots to stop bleeding

factor V
  • Specialized
5.7

A protein in the blood that helps blood to clot

factor XII
  • Specialized
6.1

A blood protein that helps start clotting and whose low levels make clotting slow

factor XIII
  • Specialized
5.9

A blood protein that makes clots stronger so they do not break

factor XI
  • Specialized
6.9

A blood protein that helps blood clot, whose lack makes people bleed too much

factor X
  • Specialized
7.4

A blood protein that helps form a clot to stop bleeding

multiplier factor
  • Specialized
5.2

A number that tells how many times to use a value to get a result

4.4

The largest number that divides evenly into two or more whole numbers without leaving a remainder

A chemical made in the brain that tells another gland to release growth hormone

growth factor
  • Specialized
4.1

A cause that helps a system such as an economy or technology grow

gut factor
  • Informal
7.8

A feeling you have that helps you choose when facts are unclear

Hageman factor
  • Specialized
9.6

A protein in blood that helps form clots

The largest positive whole number that divides two or more numbers exactly

A chemical made in the hypothalamus that tells the pituitary gland to release other hormones

intrinsic factor
  • Specialized
6.9

A stomach substance that helps absorb vitamin B12 in the intestines

reflection factor
  • Specialized
7.4

Part of light that bounces off a surface, like a mirror

releasing factor
  • Specialized
7.8

A chemical made in the hypothalamus that tells the pituitary gland to send out a certain hormone

rhesus factor
  • Specialized
5.1

A substance in the blood that makes blood Rh-positive or Rh-negative

rheumatoid factor
  • Specialized
6.8

An antibody in the blood often found in people with rheumatoid arthritis that helps doctors decide if they have it

scale factor
  • Specialized
5.1

A number that makes an object bigger or smaller by the same amount

A hormone made in the brain that tells the pituitary gland to release a hormone that controls the thyroid

time-scale factor
  • Specialized
7.1

A number that shows how fast a model runs compared to real life

A standard test people fill in to measure 16 basic personality traits

spreading factor
  • Specialized
7.9

A substance that breaks a gel in tissue so fluid or medicine can move into the tissue

stable factor
  • Specialized
9.4

A protein made in the kidney that helps blood form clots

tumor necrosis factor
  • Specialized
5.3

Some white blood cells make a protein that causes inflammation and can kill cancer cells

Surface Forms

factor infinitive
factored past
factored past participle
factoring present participle
factors third person singular

Etymology

The verb factor comes from the same Latin facere ('to make') and from the noun factor; to factor a number is to find the parts that 'make' it. So when you factor an expression you break it into the simple pieces that produce the whole.