Q: What are the factor combinations of the number 88,539,731?

 A:
Positive:   1 x 885397317 x 1264853361 x 1451471101 x 876631427 x 207353707 x 1252332053 x 431276161 x 14371
Negative: -1 x -88539731-7 x -12648533-61 x -1451471-101 x -876631-427 x -207353-707 x -125233-2053 x -43127-6161 x -14371


How do I find the factor combinations of the number 88,539,731?

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 88,539,731, 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 88,539,731
-1 -88,539,731

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 88,539,731.

Example:
1 x 88,539,731 = 88,539,731
and
-1 x -88,539,731 = 88,539,731
Notice both answers equal 88,539,731

With that explanation out of the way, let's continue. Next, we take the number 88,539,731 and divide it by 2:

88,539,731 ÷ 2 = 44,269,865.5

If the quotient is a whole number, then 2 and 44,269,865.5 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 88,539,731
-1 -88,539,731

Now, we try dividing 88,539,731 by 3:

88,539,731 ÷ 3 = 29,513,243.6667

If the quotient is a whole number, then 3 and 29,513,243.6667 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 88,539,731
-1 -88,539,731

Let's try dividing by 4:

88,539,731 ÷ 4 = 22,134,932.75

If the quotient is a whole number, then 4 and 22,134,932.75 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 88,539,731
-1 88,539,731
Keep dividing by the next highest number until you cannot divide anymore.

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

17611014277072,0536,16114,37143,127125,233207,353876,6311,451,47112,648,53388,539,731
-1-7-61-101-427-707-2,053-6,161-14,371-43,127-125,233-207,353-876,631-1,451,471-12,648,533-88,539,731

More Examples

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