Q: What are the factor combinations of the number 132,025,213?

 A:
Positive:   1 x 13202521317 x 776618937 x 3568249431 x 306323487 x 271099629 x 2098977327 x 180198279 x 15947
Negative: -1 x -132025213-17 x -7766189-37 x -3568249-431 x -306323-487 x -271099-629 x -209897-7327 x -18019-8279 x -15947


How do I find the factor combinations of the number 132,025,213?

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 132,025,213, 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.

1 132,025,213
-1 -132,025,213

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 132,025,213.

Example:
1 x 132,025,213 = 132,025,213
and
-1 x -132,025,213 = 132,025,213
Notice both answers equal 132,025,213

With that explanation out of the way, let's continue. Next, we take the number 132,025,213 and divide it by 2:

132,025,213 ÷ 2 = 66,012,606.5

If the quotient is a whole number, then 2 and 66,012,606.5 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:

1 132,025,213
-1 -132,025,213

Now, we try dividing 132,025,213 by 3:

132,025,213 ÷ 3 = 44,008,404.3333

If the quotient is a whole number, then 3 and 44,008,404.3333 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:

1 132,025,213
-1 -132,025,213

Let's try dividing by 4:

132,025,213 ÷ 4 = 33,006,303.25

If the quotient is a whole number, then 4 and 33,006,303.25 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:

1 132,025,213
-1 132,025,213
Keep dividing by the next highest number until you cannot divide anymore.

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

117374314876297,3278,27915,94718,019209,897271,099306,3233,568,2497,766,189132,025,213
-1-17-37-431-487-629-7,327-8,279-15,947-18,019-209,897-271,099-306,323-3,568,249-7,766,189-132,025,213

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