Q: What are the factor combinations of the number 563,061,125?

 A:
Positive:   1 x 5630611255 x 11261222511 x 5118737525 x 2252244555 x 10237475125 x 4504489275 x 20474951375 x 409499
Negative: -1 x -563061125-5 x -112612225-11 x -51187375-25 x -22522445-55 x -10237475-125 x -4504489-275 x -2047495-1375 x -409499


How do I find the factor combinations of the number 563,061,125?

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 563,061,125, 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.

1 563,061,125
-1 -563,061,125

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 563,061,125.

Example:
1 x 563,061,125 = 563,061,125
and
-1 x -563,061,125 = 563,061,125
Notice both answers equal 563,061,125

With that explanation out of the way, let's continue. Next, we take the number 563,061,125 and divide it by 2:

563,061,125 ÷ 2 = 281,530,562.5

If the quotient is a whole number, then 2 and 281,530,562.5 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:

1 563,061,125
-1 -563,061,125

Now, we try dividing 563,061,125 by 3:

563,061,125 ÷ 3 = 187,687,041.6667

If the quotient is a whole number, then 3 and 187,687,041.6667 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:

1 563,061,125
-1 -563,061,125

Let's try dividing by 4:

563,061,125 ÷ 4 = 140,765,281.25

If the quotient is a whole number, then 4 and 140,765,281.25 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:

1 563,061,125
-1 563,061,125
Keep dividing by the next highest number until you cannot divide anymore.

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

151125551252751,375409,4992,047,4954,504,48910,237,47522,522,44551,187,375112,612,225563,061,125
-1-5-11-25-55-125-275-1,375-409,499-2,047,495-4,504,489-10,237,475-22,522,445-51,187,375-112,612,225-563,061,125

More Examples

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