Q: What are the factor combinations of the number 88,244,117?

 A:
Positive:   1 x 8824411713 x 678800959 x 1495663103 x 856739767 x 1150511117 x 790011339 x 659036077 x 14521
Negative: -1 x -88244117-13 x -6788009-59 x -1495663-103 x -856739-767 x -115051-1117 x -79001-1339 x -65903-6077 x -14521


How do I find the factor combinations of the number 88,244,117?

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 88,244,117, 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 88,244,117
-1 -88,244,117

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 88,244,117.

Example:
1 x 88,244,117 = 88,244,117
and
-1 x -88,244,117 = 88,244,117
Notice both answers equal 88,244,117

With that explanation out of the way, let's continue. Next, we take the number 88,244,117 and divide it by 2:

88,244,117 ÷ 2 = 44,122,058.5

If the quotient is a whole number, then 2 and 44,122,058.5 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 88,244,117
-1 -88,244,117

Now, we try dividing 88,244,117 by 3:

88,244,117 ÷ 3 = 29,414,705.6667

If the quotient is a whole number, then 3 and 29,414,705.6667 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 88,244,117
-1 -88,244,117

Let's try dividing by 4:

88,244,117 ÷ 4 = 22,061,029.25

If the quotient is a whole number, then 4 and 22,061,029.25 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 88,244,117
-1 88,244,117
Keep dividing by the next highest number until you cannot divide anymore.

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

113591037671,1171,3396,07714,52165,90379,001115,051856,7391,495,6636,788,00988,244,117
-1-13-59-103-767-1,117-1,339-6,077-14,521-65,903-79,001-115,051-856,739-1,495,663-6,788,009-88,244,117

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 88,244,117:


Ask a Question