Q: What are the factor combinations of the number 88,692,893?

 A:
Positive:   1 x 8869289317 x 521722919 x 4668047323 x 274591
Negative: -1 x -88692893-17 x -5217229-19 x -4668047-323 x -274591


How do I find the factor combinations of the number 88,692,893?

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 88,692,893, 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 88,692,893
-1 -88,692,893

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 88,692,893.

Example:
1 x 88,692,893 = 88,692,893
and
-1 x -88,692,893 = 88,692,893
Notice both answers equal 88,692,893

With that explanation out of the way, let's continue. Next, we take the number 88,692,893 and divide it by 2:

88,692,893 ÷ 2 = 44,346,446.5

If the quotient is a whole number, then 2 and 44,346,446.5 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 88,692,893
-1 -88,692,893

Now, we try dividing 88,692,893 by 3:

88,692,893 ÷ 3 = 29,564,297.6667

If the quotient is a whole number, then 3 and 29,564,297.6667 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 88,692,893
-1 -88,692,893

Let's try dividing by 4:

88,692,893 ÷ 4 = 22,173,223.25

If the quotient is a whole number, then 4 and 22,173,223.25 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 88,692,893
-1 88,692,893
Keep dividing by the next highest number until you cannot divide anymore.

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

11719323274,5914,668,0475,217,22988,692,893
-1-17-19-323-274,591-4,668,047-5,217,229-88,692,893

More Examples

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