Q: What are the factor combinations of the number 560,321,881?

 A:
Positive:   1 x 5603218817 x 80045983181 x 30957011267 x 442243
Negative: -1 x -560321881-7 x -80045983-181 x -3095701-1267 x -442243


How do I find the factor combinations of the number 560,321,881?

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 560,321,881, 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.

1 560,321,881
-1 -560,321,881

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 560,321,881.

Example:
1 x 560,321,881 = 560,321,881
and
-1 x -560,321,881 = 560,321,881
Notice both answers equal 560,321,881

With that explanation out of the way, let's continue. Next, we take the number 560,321,881 and divide it by 2:

560,321,881 ÷ 2 = 280,160,940.5

If the quotient is a whole number, then 2 and 280,160,940.5 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:

1 560,321,881
-1 -560,321,881

Now, we try dividing 560,321,881 by 3:

560,321,881 ÷ 3 = 186,773,960.3333

If the quotient is a whole number, then 3 and 186,773,960.3333 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:

1 560,321,881
-1 -560,321,881

Let's try dividing by 4:

560,321,881 ÷ 4 = 140,080,470.25

If the quotient is a whole number, then 4 and 140,080,470.25 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:

1 560,321,881
-1 560,321,881
Keep dividing by the next highest number until you cannot divide anymore.

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

171811,267442,2433,095,70180,045,983560,321,881
-1-7-181-1,267-442,243-3,095,701-80,045,983-560,321,881

More Examples

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