Q: What are the factor combinations of the number 231,001,225?

 A:
Positive:   1 x 2310012255 x 462002457 x 3300017513 x 1776932525 x 924004935 x 660003559 x 391527565 x 355386591 x 2538475175 x 1320007295 x 783055325 x 710773413 x 559325455 x 507695767 x 3011751475 x 1566111721 x 1342252065 x 1118652275 x 1015393835 x 602355369 x 430258605 x 2684510325 x 2237312047 x 19175
Negative: -1 x -231001225-5 x -46200245-7 x -33000175-13 x -17769325-25 x -9240049-35 x -6600035-59 x -3915275-65 x -3553865-91 x -2538475-175 x -1320007-295 x -783055-325 x -710773-413 x -559325-455 x -507695-767 x -301175-1475 x -156611-1721 x -134225-2065 x -111865-2275 x -101539-3835 x -60235-5369 x -43025-8605 x -26845-10325 x -22373-12047 x -19175


How do I find the factor combinations of the number 231,001,225?

Unfortunately, there's not simple formula to identifying all of the factors of a number and it can be a tedious process when trying to identify the divisors of larger numbers. To find the factor combinations of the number 231,001,225, it is easier to work with a table - it's called factoring from the outside in.

Outside in Factoring

We start by creating a table and writing 1 on the left side and then the number we're trying to find the factors for on the right side in a table. Then, below that, write the numbers as a negative as well.

1 231,001,225
-1 -231,001,225

Why are the negative numbers included?

When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 231,001,225.

Example:
1 x 231,001,225 = 231,001,225
and
-1 x -231,001,225 = 231,001,225
Notice both answers equal 231,001,225

With that explanation out of the way, let's continue. Next, we take the number 231,001,225 and divide it by 2:

231,001,225 ÷ 2 = 115,500,612.5

If the quotient is a whole number, then 2 and 115,500,612.5 are factors. In this case, the quotient is not a whole number. Don't write anything down and try the next divisor.

Here is what our table should look like at this step:

1 231,001,225
-1 -231,001,225

Now, we try dividing 231,001,225 by 3:

231,001,225 ÷ 3 = 77,000,408.3333

If the quotient is a whole number, then 3 and 77,000,408.3333 are factors. In this case, the quotient is not a whole number. Don't write anything down and try the next divisor.

Here is what our table should look like at this step:

1 231,001,225
-1 -231,001,225

Let's try dividing by 4:

231,001,225 ÷ 4 = 57,750,306.25

If the quotient is a whole number, then 4 and 57,750,306.25 are factors. In this case, the quotient is not a whole number. Don't write anything down and try the next divisor.

Here is what our table should look like at this step:

1 231,001,225
-1 231,001,225
Keep dividing by the next highest number until you cannot divide anymore.

If you did it right, you will end up with this table:

1571325355965911752953254134557671,4751,7212,0652,2753,8355,3698,60510,32512,04719,17522,37326,84543,02560,235101,539111,865134,225156,611301,175507,695559,325710,773783,0551,320,0072,538,4753,553,8653,915,2756,600,0359,240,04917,769,32533,000,17546,200,245231,001,225
-1-5-7-13-25-35-59-65-91-175-295-325-413-455-767-1,475-1,721-2,065-2,275-3,835-5,369-8,605-10,325-12,047-19,175-22,373-26,845-43,025-60,235-101,539-111,865-134,225-156,611-301,175-507,695-559,325-710,773-783,055-1,320,007-2,538,475-3,553,865-3,915,275-6,600,035-9,240,049-17,769,325-33,000,175-46,200,245-231,001,225

More Examples

Here are some more numbers to try:

231,001,223231,001,224231,001,226231,001,227
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