Q: What are the factor combinations of the number 563,061,523?

 A:
Positive:   1 x 56306152319 x 2963481737 x 15217879251 x 2243273703 x 8009413191 x 1764534769 x 1180679287 x 60629
Negative: -1 x -563061523-19 x -29634817-37 x -15217879-251 x -2243273-703 x -800941-3191 x -176453-4769 x -118067-9287 x -60629


How do I find the factor combinations of the number 563,061,523?

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 563,061,523, 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.

1 563,061,523
-1 -563,061,523

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 563,061,523.

Example:
1 x 563,061,523 = 563,061,523
and
-1 x -563,061,523 = 563,061,523
Notice both answers equal 563,061,523

With that explanation out of the way, let's continue. Next, we take the number 563,061,523 and divide it by 2:

563,061,523 ÷ 2 = 281,530,761.5

If the quotient is a whole number, then 2 and 281,530,761.5 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:

1 563,061,523
-1 -563,061,523

Now, we try dividing 563,061,523 by 3:

563,061,523 ÷ 3 = 187,687,174.3333

If the quotient is a whole number, then 3 and 187,687,174.3333 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:

1 563,061,523
-1 -563,061,523

Let's try dividing by 4:

563,061,523 ÷ 4 = 140,765,380.75

If the quotient is a whole number, then 4 and 140,765,380.75 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:

1 563,061,523
-1 563,061,523
Keep dividing by the next highest number until you cannot divide anymore.

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

119372517033,1914,7699,28760,629118,067176,453800,9412,243,27315,217,87929,634,817563,061,523
-1-19-37-251-703-3,191-4,769-9,287-60,629-118,067-176,453-800,941-2,243,273-15,217,879-29,634,817-563,061,523

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 563,061,523:


Ask a Question