Q: What are the factor combinations of the number 132,003,131?

 A:
Positive:   1 x 13200313113 x 10154087331 x 3988014303 x 30677
Negative: -1 x -132003131-13 x -10154087-331 x -398801-4303 x -30677


How do I find the factor combinations of the number 132,003,131?

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 132,003,131, 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.

1 132,003,131
-1 -132,003,131

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 132,003,131.

Example:
1 x 132,003,131 = 132,003,131
and
-1 x -132,003,131 = 132,003,131
Notice both answers equal 132,003,131

With that explanation out of the way, let's continue. Next, we take the number 132,003,131 and divide it by 2:

132,003,131 ÷ 2 = 66,001,565.5

If the quotient is a whole number, then 2 and 66,001,565.5 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:

1 132,003,131
-1 -132,003,131

Now, we try dividing 132,003,131 by 3:

132,003,131 ÷ 3 = 44,001,043.6667

If the quotient is a whole number, then 3 and 44,001,043.6667 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:

1 132,003,131
-1 -132,003,131

Let's try dividing by 4:

132,003,131 ÷ 4 = 33,000,782.75

If the quotient is a whole number, then 4 and 33,000,782.75 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:

1 132,003,131
-1 132,003,131
Keep dividing by the next highest number until you cannot divide anymore.

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

1133314,30330,677398,80110,154,087132,003,131
-1-13-331-4,303-30,677-398,801-10,154,087-132,003,131

More Examples

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