Q: What are the factor combinations of the number 88,837,121?

 A:
Positive:   1 x 8883712117 x 522571329 x 3063349367 x 242063491 x 180931493 x 1801976239 x 142398347 x 10643
Negative: -1 x -88837121-17 x -5225713-29 x -3063349-367 x -242063-491 x -180931-493 x -180197-6239 x -14239-8347 x -10643


How do I find the factor combinations of the number 88,837,121?

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 88,837,121, 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 88,837,121
-1 -88,837,121

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 88,837,121.

Example:
1 x 88,837,121 = 88,837,121
and
-1 x -88,837,121 = 88,837,121
Notice both answers equal 88,837,121

With that explanation out of the way, let's continue. Next, we take the number 88,837,121 and divide it by 2:

88,837,121 ÷ 2 = 44,418,560.5

If the quotient is a whole number, then 2 and 44,418,560.5 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 88,837,121
-1 -88,837,121

Now, we try dividing 88,837,121 by 3:

88,837,121 ÷ 3 = 29,612,373.6667

If the quotient is a whole number, then 3 and 29,612,373.6667 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 88,837,121
-1 -88,837,121

Let's try dividing by 4:

88,837,121 ÷ 4 = 22,209,280.25

If the quotient is a whole number, then 4 and 22,209,280.25 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 88,837,121
-1 88,837,121
Keep dividing by the next highest number until you cannot divide anymore.

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

117293674914936,2398,34710,64314,239180,197180,931242,0633,063,3495,225,71388,837,121
-1-17-29-367-491-493-6,239-8,347-10,643-14,239-180,197-180,931-242,063-3,063,349-5,225,713-88,837,121

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