Q: What are the factor combinations of the number 32,152,507?

 A:
Positive:   1 x 32152507139 x 231313227 x 1416411019 x 31553
Negative: -1 x -32152507-139 x -231313-227 x -141641-1019 x -31553


How do I find the factor combinations of the number 32,152,507?

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 32,152,507, 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 32,152,507
-1 -32,152,507

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 32,152,507.

Example:
1 x 32,152,507 = 32,152,507
and
-1 x -32,152,507 = 32,152,507
Notice both answers equal 32,152,507

With that explanation out of the way, let's continue. Next, we take the number 32,152,507 and divide it by 2:

32,152,507 ÷ 2 = 16,076,253.5

If the quotient is a whole number, then 2 and 16,076,253.5 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 32,152,507
-1 -32,152,507

Now, we try dividing 32,152,507 by 3:

32,152,507 ÷ 3 = 10,717,502.3333

If the quotient is a whole number, then 3 and 10,717,502.3333 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 32,152,507
-1 -32,152,507

Let's try dividing by 4:

32,152,507 ÷ 4 = 8,038,126.75

If the quotient is a whole number, then 4 and 8,038,126.75 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 32,152,507
-1 32,152,507
Keep dividing by the next highest number until you cannot divide anymore.

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

11392271,01931,553141,641231,31332,152,507
-1-139-227-1,019-31,553-141,641-231,313-32,152,507

More Examples

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