Q: What are the factor combinations of the number 88,120,537?

 A:
Positive:   1 x 8812053717 x 518356119 x 4637923149 x 591413323 x 2728191831 x 481272533 x 347892831 x 31127
Negative: -1 x -88120537-17 x -5183561-19 x -4637923-149 x -591413-323 x -272819-1831 x -48127-2533 x -34789-2831 x -31127


How do I find the factor combinations of the number 88,120,537?

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 88,120,537, 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 88,120,537
-1 -88,120,537

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 88,120,537.

Example:
1 x 88,120,537 = 88,120,537
and
-1 x -88,120,537 = 88,120,537
Notice both answers equal 88,120,537

With that explanation out of the way, let's continue. Next, we take the number 88,120,537 and divide it by 2:

88,120,537 ÷ 2 = 44,060,268.5

If the quotient is a whole number, then 2 and 44,060,268.5 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 88,120,537
-1 -88,120,537

Now, we try dividing 88,120,537 by 3:

88,120,537 ÷ 3 = 29,373,512.3333

If the quotient is a whole number, then 3 and 29,373,512.3333 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 88,120,537
-1 -88,120,537

Let's try dividing by 4:

88,120,537 ÷ 4 = 22,030,134.25

If the quotient is a whole number, then 4 and 22,030,134.25 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 88,120,537
-1 88,120,537
Keep dividing by the next highest number until you cannot divide anymore.

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

117191493231,8312,5332,83131,12734,78948,127272,819591,4134,637,9235,183,56188,120,537
-1-17-19-149-323-1,831-2,533-2,831-31,127-34,789-48,127-272,819-591,413-4,637,923-5,183,561-88,120,537

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 88,120,537:


Ask a Question