Q: What are the factor combinations of the number 132,120,443?

 A:
Positive:   1 x 1321204437 x 1887434913 x 1016311191 x 1451873131 x 1008553917 x 1440791703 x 7758111083 x 11921
Negative: -1 x -132120443-7 x -18874349-13 x -10163111-91 x -1451873-131 x -1008553-917 x -144079-1703 x -77581-11083 x -11921


How do I find the factor combinations of the number 132,120,443?

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 132,120,443, 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.

1 132,120,443
-1 -132,120,443

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 132,120,443.

Example:
1 x 132,120,443 = 132,120,443
and
-1 x -132,120,443 = 132,120,443
Notice both answers equal 132,120,443

With that explanation out of the way, let's continue. Next, we take the number 132,120,443 and divide it by 2:

132,120,443 ÷ 2 = 66,060,221.5

If the quotient is a whole number, then 2 and 66,060,221.5 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:

1 132,120,443
-1 -132,120,443

Now, we try dividing 132,120,443 by 3:

132,120,443 ÷ 3 = 44,040,147.6667

If the quotient is a whole number, then 3 and 44,040,147.6667 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:

1 132,120,443
-1 -132,120,443

Let's try dividing by 4:

132,120,443 ÷ 4 = 33,030,110.75

If the quotient is a whole number, then 4 and 33,030,110.75 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:

1 132,120,443
-1 132,120,443
Keep dividing by the next highest number until you cannot divide anymore.

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

1713911319171,70311,08311,92177,581144,0791,008,5531,451,87310,163,11118,874,349132,120,443
-1-7-13-91-131-917-1,703-11,083-11,921-77,581-144,079-1,008,553-1,451,873-10,163,111-18,874,349-132,120,443

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