Q: What are the factor combinations of the number 432,537,713?

 A:
Positive:   1 x 432537713223 x 1939631
Negative: -1 x -432537713-223 x -1939631


How do I find the factor combinations of the number 432,537,713?

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 432,537,713, 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.

1 432,537,713
-1 -432,537,713

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 432,537,713.

Example:
1 x 432,537,713 = 432,537,713
and
-1 x -432,537,713 = 432,537,713
Notice both answers equal 432,537,713

With that explanation out of the way, let's continue. Next, we take the number 432,537,713 and divide it by 2:

432,537,713 ÷ 2 = 216,268,856.5

If the quotient is a whole number, then 2 and 216,268,856.5 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:

1 432,537,713
-1 -432,537,713

Now, we try dividing 432,537,713 by 3:

432,537,713 ÷ 3 = 144,179,237.6667

If the quotient is a whole number, then 3 and 144,179,237.6667 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:

1 432,537,713
-1 -432,537,713

Let's try dividing by 4:

432,537,713 ÷ 4 = 108,134,428.25

If the quotient is a whole number, then 4 and 108,134,428.25 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:

1 432,537,713
-1 432,537,713
Keep dividing by the next highest number until you cannot divide anymore.

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

12231,939,631432,537,713
-1-223-1,939,631-432,537,713

More Examples

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