Q: What are the factor combinations of the number 88,867,331?

 A:
Positive:   1 x 888673317 x 1269533323 x 386379749 x 1813619161 x 5519711127 x 78853
Negative: -1 x -88867331-7 x -12695333-23 x -3863797-49 x -1813619-161 x -551971-1127 x -78853


How do I find the factor combinations of the number 88,867,331?

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 88,867,331, 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 88,867,331
-1 -88,867,331

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 88,867,331.

Example:
1 x 88,867,331 = 88,867,331
and
-1 x -88,867,331 = 88,867,331
Notice both answers equal 88,867,331

With that explanation out of the way, let's continue. Next, we take the number 88,867,331 and divide it by 2:

88,867,331 ÷ 2 = 44,433,665.5

If the quotient is a whole number, then 2 and 44,433,665.5 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 88,867,331
-1 -88,867,331

Now, we try dividing 88,867,331 by 3:

88,867,331 ÷ 3 = 29,622,443.6667

If the quotient is a whole number, then 3 and 29,622,443.6667 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 88,867,331
-1 -88,867,331

Let's try dividing by 4:

88,867,331 ÷ 4 = 22,216,832.75

If the quotient is a whole number, then 4 and 22,216,832.75 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 88,867,331
-1 88,867,331
Keep dividing by the next highest number until you cannot divide anymore.

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

1723491611,12778,853551,9711,813,6193,863,79712,695,33388,867,331
-1-7-23-49-161-1,127-78,853-551,971-1,813,619-3,863,797-12,695,333-88,867,331

More Examples

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