Q: What are the factor combinations of the number 132,232,121?

 A:
Positive:   1 x 1322321217 x 18890303103 x 1283807241 x 548681721 x 183401761 x 1737611687 x 783835327 x 24823
Negative: -1 x -132232121-7 x -18890303-103 x -1283807-241 x -548681-721 x -183401-761 x -173761-1687 x -78383-5327 x -24823


How do I find the factor combinations of the number 132,232,121?

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 132,232,121, 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.

1 132,232,121
-1 -132,232,121

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 132,232,121.

Example:
1 x 132,232,121 = 132,232,121
and
-1 x -132,232,121 = 132,232,121
Notice both answers equal 132,232,121

With that explanation out of the way, let's continue. Next, we take the number 132,232,121 and divide it by 2:

132,232,121 ÷ 2 = 66,116,060.5

If the quotient is a whole number, then 2 and 66,116,060.5 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:

1 132,232,121
-1 -132,232,121

Now, we try dividing 132,232,121 by 3:

132,232,121 ÷ 3 = 44,077,373.6667

If the quotient is a whole number, then 3 and 44,077,373.6667 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:

1 132,232,121
-1 -132,232,121

Let's try dividing by 4:

132,232,121 ÷ 4 = 33,058,030.25

If the quotient is a whole number, then 4 and 33,058,030.25 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:

1 132,232,121
-1 132,232,121
Keep dividing by the next highest number until you cannot divide anymore.

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

171032417217611,6875,32724,82378,383173,761183,401548,6811,283,80718,890,303132,232,121
-1-7-103-241-721-761-1,687-5,327-24,823-78,383-173,761-183,401-548,681-1,283,807-18,890,303-132,232,121

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