Q: What are the factor combinations of the number 520,460,665?

 A:
Positive:   1 x 5204606655 x 104092133
Negative: -1 x -520460665-5 x -104092133


How do I find the factor combinations of the number 520,460,665?

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 520,460,665, 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.

1 520,460,665
-1 -520,460,665

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 520,460,665.

Example:
1 x 520,460,665 = 520,460,665
and
-1 x -520,460,665 = 520,460,665
Notice both answers equal 520,460,665

With that explanation out of the way, let's continue. Next, we take the number 520,460,665 and divide it by 2:

520,460,665 ÷ 2 = 260,230,332.5

If the quotient is a whole number, then 2 and 260,230,332.5 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:

1 520,460,665
-1 -520,460,665

Now, we try dividing 520,460,665 by 3:

520,460,665 ÷ 3 = 173,486,888.3333

If the quotient is a whole number, then 3 and 173,486,888.3333 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:

1 520,460,665
-1 -520,460,665

Let's try dividing by 4:

520,460,665 ÷ 4 = 130,115,166.25

If the quotient is a whole number, then 4 and 130,115,166.25 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:

1 520,460,665
-1 520,460,665
Keep dividing by the next highest number until you cannot divide anymore.

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

15104,092,133520,460,665
-1-5-104,092,133-520,460,665

More Examples

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