Q: What are the factor combinations of the number 560,878,661?

 A:
Positive:   1 x 5608786617 x 801255232273 x 24675715911 x 35251
Negative: -1 x -560878661-7 x -80125523-2273 x -246757-15911 x -35251


How do I find the factor combinations of the number 560,878,661?

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 560,878,661, 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.

1 560,878,661
-1 -560,878,661

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 560,878,661.

Example:
1 x 560,878,661 = 560,878,661
and
-1 x -560,878,661 = 560,878,661
Notice both answers equal 560,878,661

With that explanation out of the way, let's continue. Next, we take the number 560,878,661 and divide it by 2:

560,878,661 ÷ 2 = 280,439,330.5

If the quotient is a whole number, then 2 and 280,439,330.5 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:

1 560,878,661
-1 -560,878,661

Now, we try dividing 560,878,661 by 3:

560,878,661 ÷ 3 = 186,959,553.6667

If the quotient is a whole number, then 3 and 186,959,553.6667 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:

1 560,878,661
-1 -560,878,661

Let's try dividing by 4:

560,878,661 ÷ 4 = 140,219,665.25

If the quotient is a whole number, then 4 and 140,219,665.25 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:

1 560,878,661
-1 560,878,661
Keep dividing by the next highest number until you cannot divide anymore.

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

172,27315,91135,251246,75780,125,523560,878,661
-1-7-2,273-15,911-35,251-246,757-80,125,523-560,878,661

More Examples

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