Q: What are the factor combinations of the number 560,878,655?

 A:
Positive:   1 x 5608786555 x 112175731347 x 16163651735 x 323273
Negative: -1 x -560878655-5 x -112175731-347 x -1616365-1735 x -323273


How do I find the factor combinations of the number 560,878,655?

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 560,878,655, 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.

1 560,878,655
-1 -560,878,655

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 560,878,655.

Example:
1 x 560,878,655 = 560,878,655
and
-1 x -560,878,655 = 560,878,655
Notice both answers equal 560,878,655

With that explanation out of the way, let's continue. Next, we take the number 560,878,655 and divide it by 2:

560,878,655 ÷ 2 = 280,439,327.5

If the quotient is a whole number, then 2 and 280,439,327.5 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:

1 560,878,655
-1 -560,878,655

Now, we try dividing 560,878,655 by 3:

560,878,655 ÷ 3 = 186,959,551.6667

If the quotient is a whole number, then 3 and 186,959,551.6667 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:

1 560,878,655
-1 -560,878,655

Let's try dividing by 4:

560,878,655 ÷ 4 = 140,219,663.75

If the quotient is a whole number, then 4 and 140,219,663.75 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:

1 560,878,655
-1 560,878,655
Keep dividing by the next highest number until you cannot divide anymore.

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

153471,735323,2731,616,365112,175,731560,878,655
-1-5-347-1,735-323,273-1,616,365-112,175,731-560,878,655

More Examples

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