Q: What are the factor combinations of the number 38,657,725?

 A:
Positive:   1 x 386577255 x 773154525 x 154630929 x 133302571 x 544475145 x 266605355 x 108895725 x 53321751 x 514751775 x 217792059 x 187753755 x 10295
Negative: -1 x -38657725-5 x -7731545-25 x -1546309-29 x -1333025-71 x -544475-145 x -266605-355 x -108895-725 x -53321-751 x -51475-1775 x -21779-2059 x -18775-3755 x -10295


How do I find the factor combinations of the number 38,657,725?

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 38,657,725, 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 38,657,725
-1 -38,657,725

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 38,657,725.

Example:
1 x 38,657,725 = 38,657,725
and
-1 x -38,657,725 = 38,657,725
Notice both answers equal 38,657,725

With that explanation out of the way, let's continue. Next, we take the number 38,657,725 and divide it by 2:

38,657,725 ÷ 2 = 19,328,862.5

If the quotient is a whole number, then 2 and 19,328,862.5 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 38,657,725
-1 -38,657,725

Now, we try dividing 38,657,725 by 3:

38,657,725 ÷ 3 = 12,885,908.3333

If the quotient is a whole number, then 3 and 12,885,908.3333 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 38,657,725
-1 -38,657,725

Let's try dividing by 4:

38,657,725 ÷ 4 = 9,664,431.25

If the quotient is a whole number, then 4 and 9,664,431.25 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 38,657,725
-1 38,657,725
Keep dividing by the next highest number until you cannot divide anymore.

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

152529711453557257511,7752,0593,75510,29518,77521,77951,47553,321108,895266,605544,4751,333,0251,546,3097,731,54538,657,725
-1-5-25-29-71-145-355-725-751-1,775-2,059-3,755-10,295-18,775-21,779-51,475-53,321-108,895-266,605-544,475-1,333,025-1,546,309-7,731,545-38,657,725

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