Q: What are the factor combinations of the number 563,131,049?

 A:
Positive:   1 x 56313104913 x 43317773107 x 5262907571 x 986219709 x 7942611391 x 4048397423 x 758639217 x 61097
Negative: -1 x -563131049-13 x -43317773-107 x -5262907-571 x -986219-709 x -794261-1391 x -404839-7423 x -75863-9217 x -61097


How do I find the factor combinations of the number 563,131,049?

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 563,131,049, 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.

1 563,131,049
-1 -563,131,049

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 563,131,049.

Example:
1 x 563,131,049 = 563,131,049
and
-1 x -563,131,049 = 563,131,049
Notice both answers equal 563,131,049

With that explanation out of the way, let's continue. Next, we take the number 563,131,049 and divide it by 2:

563,131,049 ÷ 2 = 281,565,524.5

If the quotient is a whole number, then 2 and 281,565,524.5 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:

1 563,131,049
-1 -563,131,049

Now, we try dividing 563,131,049 by 3:

563,131,049 ÷ 3 = 187,710,349.6667

If the quotient is a whole number, then 3 and 187,710,349.6667 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:

1 563,131,049
-1 -563,131,049

Let's try dividing by 4:

563,131,049 ÷ 4 = 140,782,762.25

If the quotient is a whole number, then 4 and 140,782,762.25 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:

1 563,131,049
-1 563,131,049
Keep dividing by the next highest number until you cannot divide anymore.

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

1131075717091,3917,4239,21761,09775,863404,839794,261986,2195,262,90743,317,773563,131,049
-1-13-107-571-709-1,391-7,423-9,217-61,097-75,863-404,839-794,261-986,219-5,262,907-43,317,773-563,131,049

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