Q: What are the factor combinations of the number 132,425,215?

 A:
Positive:   1 x 1324252155 x 2648504313 x 1018655565 x 2037311
Negative: -1 x -132425215-5 x -26485043-13 x -10186555-65 x -2037311


How do I find the factor combinations of the number 132,425,215?

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 132,425,215, 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.

1 132,425,215
-1 -132,425,215

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 132,425,215.

Example:
1 x 132,425,215 = 132,425,215
and
-1 x -132,425,215 = 132,425,215
Notice both answers equal 132,425,215

With that explanation out of the way, let's continue. Next, we take the number 132,425,215 and divide it by 2:

132,425,215 ÷ 2 = 66,212,607.5

If the quotient is a whole number, then 2 and 66,212,607.5 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:

1 132,425,215
-1 -132,425,215

Now, we try dividing 132,425,215 by 3:

132,425,215 ÷ 3 = 44,141,738.3333

If the quotient is a whole number, then 3 and 44,141,738.3333 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:

1 132,425,215
-1 -132,425,215

Let's try dividing by 4:

132,425,215 ÷ 4 = 33,106,303.75

If the quotient is a whole number, then 4 and 33,106,303.75 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:

1 132,425,215
-1 132,425,215
Keep dividing by the next highest number until you cannot divide anymore.

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

1513652,037,31110,186,55526,485,043132,425,215
-1-5-13-65-2,037,311-10,186,555-26,485,043-132,425,215

More Examples

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