Q: What are the factor combinations of the number 132,501,499?

 A:
Positive:   1 x 13250149913 x 10192423487 x 2720776331 x 20929
Negative: -1 x -132501499-13 x -10192423-487 x -272077-6331 x -20929


How do I find the factor combinations of the number 132,501,499?

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 132,501,499, 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.

1 132,501,499
-1 -132,501,499

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 132,501,499.

Example:
1 x 132,501,499 = 132,501,499
and
-1 x -132,501,499 = 132,501,499
Notice both answers equal 132,501,499

With that explanation out of the way, let's continue. Next, we take the number 132,501,499 and divide it by 2:

132,501,499 ÷ 2 = 66,250,749.5

If the quotient is a whole number, then 2 and 66,250,749.5 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:

1 132,501,499
-1 -132,501,499

Now, we try dividing 132,501,499 by 3:

132,501,499 ÷ 3 = 44,167,166.3333

If the quotient is a whole number, then 3 and 44,167,166.3333 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:

1 132,501,499
-1 -132,501,499

Let's try dividing by 4:

132,501,499 ÷ 4 = 33,125,374.75

If the quotient is a whole number, then 4 and 33,125,374.75 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:

1 132,501,499
-1 132,501,499
Keep dividing by the next highest number until you cannot divide anymore.

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

1134876,33120,929272,07710,192,423132,501,499
-1-13-487-6,331-20,929-272,077-10,192,423-132,501,499

More Examples

Here are some more numbers to try:

132,501,497132,501,498132,501,500132,501,501
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