Q: What are the factor combinations of the number 560,324,515?

 A:
Positive:   1 x 5603245155 x 11206490329 x 19321535145 x 3864307
Negative: -1 x -560324515-5 x -112064903-29 x -19321535-145 x -3864307


How do I find the factor combinations of the number 560,324,515?

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 560,324,515, 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.

1 560,324,515
-1 -560,324,515

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 560,324,515.

Example:
1 x 560,324,515 = 560,324,515
and
-1 x -560,324,515 = 560,324,515
Notice both answers equal 560,324,515

With that explanation out of the way, let's continue. Next, we take the number 560,324,515 and divide it by 2:

560,324,515 ÷ 2 = 280,162,257.5

If the quotient is a whole number, then 2 and 280,162,257.5 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:

1 560,324,515
-1 -560,324,515

Now, we try dividing 560,324,515 by 3:

560,324,515 ÷ 3 = 186,774,838.3333

If the quotient is a whole number, then 3 and 186,774,838.3333 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:

1 560,324,515
-1 -560,324,515

Let's try dividing by 4:

560,324,515 ÷ 4 = 140,081,128.75

If the quotient is a whole number, then 4 and 140,081,128.75 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:

1 560,324,515
-1 560,324,515
Keep dividing by the next highest number until you cannot divide anymore.

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

15291453,864,30719,321,535112,064,903560,324,515
-1-5-29-145-3,864,307-19,321,535-112,064,903-560,324,515

More Examples

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