Q: What are the factor combinations of the number 15,136,355?

 A:
Positive:   1 x 151363555 x 302727113 x 116433565 x 232867337 x 44915691 x 219051685 x 89833455 x 4381
Negative: -1 x -15136355-5 x -3027271-13 x -1164335-65 x -232867-337 x -44915-691 x -21905-1685 x -8983-3455 x -4381


How do I find the factor combinations of the number 15,136,355?

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 15,136,355, 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 15,136,355
-1 -15,136,355

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 15,136,355.

Example:
1 x 15,136,355 = 15,136,355
and
-1 x -15,136,355 = 15,136,355
Notice both answers equal 15,136,355

With that explanation out of the way, let's continue. Next, we take the number 15,136,355 and divide it by 2:

15,136,355 ÷ 2 = 7,568,177.5

If the quotient is a whole number, then 2 and 7,568,177.5 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 15,136,355
-1 -15,136,355

Now, we try dividing 15,136,355 by 3:

15,136,355 ÷ 3 = 5,045,451.6667

If the quotient is a whole number, then 3 and 5,045,451.6667 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 15,136,355
-1 -15,136,355

Let's try dividing by 4:

15,136,355 ÷ 4 = 3,784,088.75

If the quotient is a whole number, then 4 and 3,784,088.75 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 15,136,355
-1 15,136,355
Keep dividing by the next highest number until you cannot divide anymore.

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

1513653376911,6853,4554,3818,98321,90544,915232,8671,164,3353,027,27115,136,355
-1-5-13-65-337-691-1,685-3,455-4,381-8,983-21,905-44,915-232,867-1,164,335-3,027,271-15,136,355

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