Q: What are the factor combinations of the number 56,624,569?

 A:
Positive:   1 x 5662456917 x 333085731 x 1826599139 x 407371527 x 107447773 x 732532363 x 239634309 x 13141
Negative: -1 x -56624569-17 x -3330857-31 x -1826599-139 x -407371-527 x -107447-773 x -73253-2363 x -23963-4309 x -13141


How do I find the factor combinations of the number 56,624,569?

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 56,624,569, 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 56,624,569
-1 -56,624,569

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 56,624,569.

Example:
1 x 56,624,569 = 56,624,569
and
-1 x -56,624,569 = 56,624,569
Notice both answers equal 56,624,569

With that explanation out of the way, let's continue. Next, we take the number 56,624,569 and divide it by 2:

56,624,569 ÷ 2 = 28,312,284.5

If the quotient is a whole number, then 2 and 28,312,284.5 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 56,624,569
-1 -56,624,569

Now, we try dividing 56,624,569 by 3:

56,624,569 ÷ 3 = 18,874,856.3333

If the quotient is a whole number, then 3 and 18,874,856.3333 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 56,624,569
-1 -56,624,569

Let's try dividing by 4:

56,624,569 ÷ 4 = 14,156,142.25

If the quotient is a whole number, then 4 and 14,156,142.25 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 56,624,569
-1 56,624,569
Keep dividing by the next highest number until you cannot divide anymore.

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

117311395277732,3634,30913,14123,96373,253107,447407,3711,826,5993,330,85756,624,569
-1-17-31-139-527-773-2,363-4,309-13,141-23,963-73,253-107,447-407,371-1,826,599-3,330,857-56,624,569

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 56,624,569:


Ask a Question