Q: What are the factor combinations of the number 132,001,447?

 A:
Positive:   1 x 13200144717 x 776479173 x 18082391241 x 106367
Negative: -1 x -132001447-17 x -7764791-73 x -1808239-1241 x -106367


How do I find the factor combinations of the number 132,001,447?

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 132,001,447, 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.

1 132,001,447
-1 -132,001,447

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 132,001,447.

Example:
1 x 132,001,447 = 132,001,447
and
-1 x -132,001,447 = 132,001,447
Notice both answers equal 132,001,447

With that explanation out of the way, let's continue. Next, we take the number 132,001,447 and divide it by 2:

132,001,447 ÷ 2 = 66,000,723.5

If the quotient is a whole number, then 2 and 66,000,723.5 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:

1 132,001,447
-1 -132,001,447

Now, we try dividing 132,001,447 by 3:

132,001,447 ÷ 3 = 44,000,482.3333

If the quotient is a whole number, then 3 and 44,000,482.3333 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:

1 132,001,447
-1 -132,001,447

Let's try dividing by 4:

132,001,447 ÷ 4 = 33,000,361.75

If the quotient is a whole number, then 4 and 33,000,361.75 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:

1 132,001,447
-1 132,001,447
Keep dividing by the next highest number until you cannot divide anymore.

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

117731,241106,3671,808,2397,764,791132,001,447
-1-17-73-1,241-106,367-1,808,239-7,764,791-132,001,447

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