Q: What are the factor combinations of the number 88,911,379?

 A:
Positive:   1 x 8891137931 x 2868109
Negative: -1 x -88911379-31 x -2868109


How do I find the factor combinations of the number 88,911,379?

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 88,911,379, 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 88,911,379
-1 -88,911,379

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 88,911,379.

Example:
1 x 88,911,379 = 88,911,379
and
-1 x -88,911,379 = 88,911,379
Notice both answers equal 88,911,379

With that explanation out of the way, let's continue. Next, we take the number 88,911,379 and divide it by 2:

88,911,379 ÷ 2 = 44,455,689.5

If the quotient is a whole number, then 2 and 44,455,689.5 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 88,911,379
-1 -88,911,379

Now, we try dividing 88,911,379 by 3:

88,911,379 ÷ 3 = 29,637,126.3333

If the quotient is a whole number, then 3 and 29,637,126.3333 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 88,911,379
-1 -88,911,379

Let's try dividing by 4:

88,911,379 ÷ 4 = 22,227,844.75

If the quotient is a whole number, then 4 and 22,227,844.75 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 88,911,379
-1 88,911,379
Keep dividing by the next highest number until you cannot divide anymore.

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

1312,868,10988,911,379
-1-31-2,868,109-88,911,379

More Examples

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