Q: What are the factor combinations of the number 132,031,523?

 A:
Positive:   1 x 13203152313 x 1015627123 x 574050173 x 1808651263 x 502021299 x 441577529 x 249587949 x 1391271679 x 786373419 x 386176049 x 218276877 x 19199
Negative: -1 x -132031523-13 x -10156271-23 x -5740501-73 x -1808651-263 x -502021-299 x -441577-529 x -249587-949 x -139127-1679 x -78637-3419 x -38617-6049 x -21827-6877 x -19199


How do I find the factor combinations of the number 132,031,523?

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 132,031,523, 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.

1 132,031,523
-1 -132,031,523

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 132,031,523.

Example:
1 x 132,031,523 = 132,031,523
and
-1 x -132,031,523 = 132,031,523
Notice both answers equal 132,031,523

With that explanation out of the way, let's continue. Next, we take the number 132,031,523 and divide it by 2:

132,031,523 ÷ 2 = 66,015,761.5

If the quotient is a whole number, then 2 and 66,015,761.5 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:

1 132,031,523
-1 -132,031,523

Now, we try dividing 132,031,523 by 3:

132,031,523 ÷ 3 = 44,010,507.6667

If the quotient is a whole number, then 3 and 44,010,507.6667 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:

1 132,031,523
-1 -132,031,523

Let's try dividing by 4:

132,031,523 ÷ 4 = 33,007,880.75

If the quotient is a whole number, then 4 and 33,007,880.75 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:

1 132,031,523
-1 132,031,523
Keep dividing by the next highest number until you cannot divide anymore.

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

11323732632995299491,6793,4196,0496,87719,19921,82738,61778,637139,127249,587441,577502,0211,808,6515,740,50110,156,271132,031,523
-1-13-23-73-263-299-529-949-1,679-3,419-6,049-6,877-19,199-21,827-38,617-78,637-139,127-249,587-441,577-502,021-1,808,651-5,740,501-10,156,271-132,031,523

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