Q: What are the factor combinations of the number 7,901,725?

 A:
Positive:   1 x 79017255 x 158034513 x 60782525 x 31606941 x 19272565 x 121565205 x 38545325 x 24313533 x 14825593 x 133251025 x 77092665 x 2965
Negative: -1 x -7901725-5 x -1580345-13 x -607825-25 x -316069-41 x -192725-65 x -121565-205 x -38545-325 x -24313-533 x -14825-593 x -13325-1025 x -7709-2665 x -2965


How do I find the factor combinations of the number 7,901,725?

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 7,901,725, 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 7,901,725
-1 -7,901,725

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 7,901,725.

Example:
1 x 7,901,725 = 7,901,725
and
-1 x -7,901,725 = 7,901,725
Notice both answers equal 7,901,725

With that explanation out of the way, let's continue. Next, we take the number 7,901,725 and divide it by 2:

7,901,725 ÷ 2 = 3,950,862.5

If the quotient is a whole number, then 2 and 3,950,862.5 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 7,901,725
-1 -7,901,725

Now, we try dividing 7,901,725 by 3:

7,901,725 ÷ 3 = 2,633,908.3333

If the quotient is a whole number, then 3 and 2,633,908.3333 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 7,901,725
-1 -7,901,725

Let's try dividing by 4:

7,901,725 ÷ 4 = 1,975,431.25

If the quotient is a whole number, then 4 and 1,975,431.25 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 7,901,725
-1 7,901,725
Keep dividing by the next highest number until you cannot divide anymore.

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

15132541652053255335931,0252,6652,9657,70913,32514,82524,31338,545121,565192,725316,069607,8251,580,3457,901,725
-1-5-13-25-41-65-205-325-533-593-1,025-2,665-2,965-7,709-13,325-14,825-24,313-38,545-121,565-192,725-316,069-607,825-1,580,345-7,901,725

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