Q: What are the factor combinations of the number 87,454,321?

 A:
Positive:   1 x 8745432119 x 460285971 x 1231751241 x 362881269 x 3251091349 x 648294579 x 190995111 x 17111
Negative: -1 x -87454321-19 x -4602859-71 x -1231751-241 x -362881-269 x -325109-1349 x -64829-4579 x -19099-5111 x -17111


How do I find the factor combinations of the number 87,454,321?

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 87,454,321, 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 87,454,321
-1 -87,454,321

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 87,454,321.

Example:
1 x 87,454,321 = 87,454,321
and
-1 x -87,454,321 = 87,454,321
Notice both answers equal 87,454,321

With that explanation out of the way, let's continue. Next, we take the number 87,454,321 and divide it by 2:

87,454,321 ÷ 2 = 43,727,160.5

If the quotient is a whole number, then 2 and 43,727,160.5 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 87,454,321
-1 -87,454,321

Now, we try dividing 87,454,321 by 3:

87,454,321 ÷ 3 = 29,151,440.3333

If the quotient is a whole number, then 3 and 29,151,440.3333 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 87,454,321
-1 -87,454,321

Let's try dividing by 4:

87,454,321 ÷ 4 = 21,863,580.25

If the quotient is a whole number, then 4 and 21,863,580.25 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 87,454,321
-1 87,454,321
Keep dividing by the next highest number until you cannot divide anymore.

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

119712412691,3494,5795,11117,11119,09964,829325,109362,8811,231,7514,602,85987,454,321
-1-19-71-241-269-1,349-4,579-5,111-17,111-19,099-64,829-325,109-362,881-1,231,751-4,602,859-87,454,321

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 87,454,321:


Ask a Question