Q: What are the factor combinations of the number 138,572,357?

 A:
Positive:   1 x 1385723577 x 1979605111 x 1259748777 x 179964197 x 1428581679 x 2040831067 x 1298717469 x 18553
Negative: -1 x -138572357-7 x -19796051-11 x -12597487-77 x -1799641-97 x -1428581-679 x -204083-1067 x -129871-7469 x -18553


How do I find the factor combinations of the number 138,572,357?

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 138,572,357, 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.

1 138,572,357
-1 -138,572,357

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 138,572,357.

Example:
1 x 138,572,357 = 138,572,357
and
-1 x -138,572,357 = 138,572,357
Notice both answers equal 138,572,357

With that explanation out of the way, let's continue. Next, we take the number 138,572,357 and divide it by 2:

138,572,357 ÷ 2 = 69,286,178.5

If the quotient is a whole number, then 2 and 69,286,178.5 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:

1 138,572,357
-1 -138,572,357

Now, we try dividing 138,572,357 by 3:

138,572,357 ÷ 3 = 46,190,785.6667

If the quotient is a whole number, then 3 and 46,190,785.6667 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:

1 138,572,357
-1 -138,572,357

Let's try dividing by 4:

138,572,357 ÷ 4 = 34,643,089.25

If the quotient is a whole number, then 4 and 34,643,089.25 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:

1 138,572,357
-1 138,572,357
Keep dividing by the next highest number until you cannot divide anymore.

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

171177976791,0677,46918,553129,871204,0831,428,5811,799,64112,597,48719,796,051138,572,357
-1-7-11-77-97-679-1,067-7,469-18,553-129,871-204,083-1,428,581-1,799,641-12,597,487-19,796,051-138,572,357

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