Q: What are the factor combinations of the number 132,423,125?

 A:
Positive:   1 x 1324231255 x 2648462525 x 5296925125 x 1059385625 x 211877
Negative: -1 x -132423125-5 x -26484625-25 x -5296925-125 x -1059385-625 x -211877


How do I find the factor combinations of the number 132,423,125?

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 132,423,125, 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.

1 132,423,125
-1 -132,423,125

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 132,423,125.

Example:
1 x 132,423,125 = 132,423,125
and
-1 x -132,423,125 = 132,423,125
Notice both answers equal 132,423,125

With that explanation out of the way, let's continue. Next, we take the number 132,423,125 and divide it by 2:

132,423,125 ÷ 2 = 66,211,562.5

If the quotient is a whole number, then 2 and 66,211,562.5 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:

1 132,423,125
-1 -132,423,125

Now, we try dividing 132,423,125 by 3:

132,423,125 ÷ 3 = 44,141,041.6667

If the quotient is a whole number, then 3 and 44,141,041.6667 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:

1 132,423,125
-1 -132,423,125

Let's try dividing by 4:

132,423,125 ÷ 4 = 33,105,781.25

If the quotient is a whole number, then 4 and 33,105,781.25 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:

1 132,423,125
-1 132,423,125
Keep dividing by the next highest number until you cannot divide anymore.

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

1525125625211,8771,059,3855,296,92526,484,625132,423,125
-1-5-25-125-625-211,877-1,059,385-5,296,925-26,484,625-132,423,125

More Examples

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