Q: What are the factor combinations of the number 132,472,025?

 A:
Positive:   1 x 1324720255 x 264944057 x 1892457525 x 529888135 x 378491537 x 358032541 x 3231025175 x 756983185 x 716065205 x 646205259 x 511475287 x 461575499 x 265475925 x 1432131025 x 1292411295 x 1022951435 x 923151517 x 873252495 x 530953493 x 379256475 x 204597175 x 184637585 x 1746510619 x 12475
Negative: -1 x -132472025-5 x -26494405-7 x -18924575-25 x -5298881-35 x -3784915-37 x -3580325-41 x -3231025-175 x -756983-185 x -716065-205 x -646205-259 x -511475-287 x -461575-499 x -265475-925 x -143213-1025 x -129241-1295 x -102295-1435 x -92315-1517 x -87325-2495 x -53095-3493 x -37925-6475 x -20459-7175 x -18463-7585 x -17465-10619 x -12475


How do I find the factor combinations of the number 132,472,025?

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 132,472,025, 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.

1 132,472,025
-1 -132,472,025

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 132,472,025.

Example:
1 x 132,472,025 = 132,472,025
and
-1 x -132,472,025 = 132,472,025
Notice both answers equal 132,472,025

With that explanation out of the way, let's continue. Next, we take the number 132,472,025 and divide it by 2:

132,472,025 ÷ 2 = 66,236,012.5

If the quotient is a whole number, then 2 and 66,236,012.5 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:

1 132,472,025
-1 -132,472,025

Now, we try dividing 132,472,025 by 3:

132,472,025 ÷ 3 = 44,157,341.6667

If the quotient is a whole number, then 3 and 44,157,341.6667 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:

1 132,472,025
-1 -132,472,025

Let's try dividing by 4:

132,472,025 ÷ 4 = 33,118,006.25

If the quotient is a whole number, then 4 and 33,118,006.25 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:

1 132,472,025
-1 132,472,025
Keep dividing by the next highest number until you cannot divide anymore.

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

157253537411751852052592874999251,0251,2951,4351,5172,4953,4936,4757,1757,58510,61912,47517,46518,46320,45937,92553,09587,32592,315102,295129,241143,213265,475461,575511,475646,205716,065756,9833,231,0253,580,3253,784,9155,298,88118,924,57526,494,405132,472,025
-1-5-7-25-35-37-41-175-185-205-259-287-499-925-1,025-1,295-1,435-1,517-2,495-3,493-6,475-7,175-7,585-10,619-12,475-17,465-18,463-20,459-37,925-53,095-87,325-92,315-102,295-129,241-143,213-265,475-461,575-511,475-646,205-716,065-756,983-3,231,025-3,580,325-3,784,915-5,298,881-18,924,575-26,494,405-132,472,025

More Examples

Here are some more numbers to try:

132,472,023132,472,024132,472,026132,472,027
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