Q: What are the factor combinations of the number 563,536,631?

 A:
Positive:   1 x 5635366317 x 8050523331 x 18178601217 x 2596943
Negative: -1 x -563536631-7 x -80505233-31 x -18178601-217 x -2596943


How do I find the factor combinations of the number 563,536,631?

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 563,536,631, 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.

1 563,536,631
-1 -563,536,631

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 563,536,631.

Example:
1 x 563,536,631 = 563,536,631
and
-1 x -563,536,631 = 563,536,631
Notice both answers equal 563,536,631

With that explanation out of the way, let's continue. Next, we take the number 563,536,631 and divide it by 2:

563,536,631 ÷ 2 = 281,768,315.5

If the quotient is a whole number, then 2 and 281,768,315.5 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:

1 563,536,631
-1 -563,536,631

Now, we try dividing 563,536,631 by 3:

563,536,631 ÷ 3 = 187,845,543.6667

If the quotient is a whole number, then 3 and 187,845,543.6667 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:

1 563,536,631
-1 -563,536,631

Let's try dividing by 4:

563,536,631 ÷ 4 = 140,884,157.75

If the quotient is a whole number, then 4 and 140,884,157.75 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:

1 563,536,631
-1 563,536,631
Keep dividing by the next highest number until you cannot divide anymore.

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

17312172,596,94318,178,60180,505,233563,536,631
-1-7-31-217-2,596,943-18,178,601-80,505,233-563,536,631

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 563,536,631:


Ask a Question