Q: What are the factor combinations of the number 56,032,717?

 A:
Positive:   1 x 5603271713 x 431020931 x 1807507163 x 343759403 x 139039853 x 656892119 x 264435053 x 11089
Negative: -1 x -56032717-13 x -4310209-31 x -1807507-163 x -343759-403 x -139039-853 x -65689-2119 x -26443-5053 x -11089


How do I find the factor combinations of the number 56,032,717?

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 56,032,717, 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 56,032,717
-1 -56,032,717

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 56,032,717.

Example:
1 x 56,032,717 = 56,032,717
and
-1 x -56,032,717 = 56,032,717
Notice both answers equal 56,032,717

With that explanation out of the way, let's continue. Next, we take the number 56,032,717 and divide it by 2:

56,032,717 ÷ 2 = 28,016,358.5

If the quotient is a whole number, then 2 and 28,016,358.5 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 56,032,717
-1 -56,032,717

Now, we try dividing 56,032,717 by 3:

56,032,717 ÷ 3 = 18,677,572.3333

If the quotient is a whole number, then 3 and 18,677,572.3333 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 56,032,717
-1 -56,032,717

Let's try dividing by 4:

56,032,717 ÷ 4 = 14,008,179.25

If the quotient is a whole number, then 4 and 14,008,179.25 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 56,032,717
-1 56,032,717
Keep dividing by the next highest number until you cannot divide anymore.

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

113311634038532,1195,05311,08926,44365,689139,039343,7591,807,5074,310,20956,032,717
-1-13-31-163-403-853-2,119-5,053-11,089-26,443-65,689-139,039-343,759-1,807,507-4,310,209-56,032,717

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 56,032,717:


Ask a Question