Q: What are the factor combinations of the number 56,581,567?

 A:
Positive:   1 x 565815677 x 808308167 x 844501223 x 253729469 x 120643541 x 1045871561 x 362473787 x 14941
Negative: -1 x -56581567-7 x -8083081-67 x -844501-223 x -253729-469 x -120643-541 x -104587-1561 x -36247-3787 x -14941


How do I find the factor combinations of the number 56,581,567?

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 56,581,567, 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 56,581,567
-1 -56,581,567

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 56,581,567.

Example:
1 x 56,581,567 = 56,581,567
and
-1 x -56,581,567 = 56,581,567
Notice both answers equal 56,581,567

With that explanation out of the way, let's continue. Next, we take the number 56,581,567 and divide it by 2:

56,581,567 ÷ 2 = 28,290,783.5

If the quotient is a whole number, then 2 and 28,290,783.5 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 56,581,567
-1 -56,581,567

Now, we try dividing 56,581,567 by 3:

56,581,567 ÷ 3 = 18,860,522.3333

If the quotient is a whole number, then 3 and 18,860,522.3333 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 56,581,567
-1 -56,581,567

Let's try dividing by 4:

56,581,567 ÷ 4 = 14,145,391.75

If the quotient is a whole number, then 4 and 14,145,391.75 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 56,581,567
-1 56,581,567
Keep dividing by the next highest number until you cannot divide anymore.

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

17672234695411,5613,78714,94136,247104,587120,643253,729844,5018,083,08156,581,567
-1-7-67-223-469-541-1,561-3,787-14,941-36,247-104,587-120,643-253,729-844,501-8,083,081-56,581,567

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 56,581,567:


Ask a Question