Q: What are the factor combinations of the number 516,615,425?

 A:
Positive:   1 x 5166154255 x 10332308525 x 2066461729 x 17814325145 x 3562865725 x 712573
Negative: -1 x -516615425-5 x -103323085-25 x -20664617-29 x -17814325-145 x -3562865-725 x -712573


How do I find the factor combinations of the number 516,615,425?

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 516,615,425, 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.

1 516,615,425
-1 -516,615,425

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 516,615,425.

Example:
1 x 516,615,425 = 516,615,425
and
-1 x -516,615,425 = 516,615,425
Notice both answers equal 516,615,425

With that explanation out of the way, let's continue. Next, we take the number 516,615,425 and divide it by 2:

516,615,425 ÷ 2 = 258,307,712.5

If the quotient is a whole number, then 2 and 258,307,712.5 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:

1 516,615,425
-1 -516,615,425

Now, we try dividing 516,615,425 by 3:

516,615,425 ÷ 3 = 172,205,141.6667

If the quotient is a whole number, then 3 and 172,205,141.6667 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:

1 516,615,425
-1 -516,615,425

Let's try dividing by 4:

516,615,425 ÷ 4 = 129,153,856.25

If the quotient is a whole number, then 4 and 129,153,856.25 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:

1 516,615,425
-1 516,615,425
Keep dividing by the next highest number until you cannot divide anymore.

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

152529145725712,5733,562,86517,814,32520,664,617103,323,085516,615,425
-1-5-25-29-145-725-712,573-3,562,865-17,814,325-20,664,617-103,323,085-516,615,425

More Examples

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