Q: What are the factor combinations of the number 563,161,469?

 A:
Positive:   1 x 56316146913 x 4332011329 x 1941936131 x 18166499377 x 1493797403 x 1397423899 x 62643111687 x 48187
Negative: -1 x -563161469-13 x -43320113-29 x -19419361-31 x -18166499-377 x -1493797-403 x -1397423-899 x -626431-11687 x -48187


How do I find the factor combinations of the number 563,161,469?

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 563,161,469, 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.

1 563,161,469
-1 -563,161,469

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 563,161,469.

Example:
1 x 563,161,469 = 563,161,469
and
-1 x -563,161,469 = 563,161,469
Notice both answers equal 563,161,469

With that explanation out of the way, let's continue. Next, we take the number 563,161,469 and divide it by 2:

563,161,469 ÷ 2 = 281,580,734.5

If the quotient is a whole number, then 2 and 281,580,734.5 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:

1 563,161,469
-1 -563,161,469

Now, we try dividing 563,161,469 by 3:

563,161,469 ÷ 3 = 187,720,489.6667

If the quotient is a whole number, then 3 and 187,720,489.6667 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:

1 563,161,469
-1 -563,161,469

Let's try dividing by 4:

563,161,469 ÷ 4 = 140,790,367.25

If the quotient is a whole number, then 4 and 140,790,367.25 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:

1 563,161,469
-1 563,161,469
Keep dividing by the next highest number until you cannot divide anymore.

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

113293137740389911,68748,187626,4311,397,4231,493,79718,166,49919,419,36143,320,113563,161,469
-1-13-29-31-377-403-899-11,687-48,187-626,431-1,397,423-1,493,797-18,166,499-19,419,361-43,320,113-563,161,469

More Examples

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