Q: What are the factor combinations of the number 132,003,425?

 A:
Positive:   1 x 1320034255 x 2640068525 x 528013731 x 4258175155 x 851635775 x 170327
Negative: -1 x -132003425-5 x -26400685-25 x -5280137-31 x -4258175-155 x -851635-775 x -170327


How do I find the factor combinations of the number 132,003,425?

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 132,003,425, 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.

1 132,003,425
-1 -132,003,425

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 132,003,425.

Example:
1 x 132,003,425 = 132,003,425
and
-1 x -132,003,425 = 132,003,425
Notice both answers equal 132,003,425

With that explanation out of the way, let's continue. Next, we take the number 132,003,425 and divide it by 2:

132,003,425 ÷ 2 = 66,001,712.5

If the quotient is a whole number, then 2 and 66,001,712.5 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:

1 132,003,425
-1 -132,003,425

Now, we try dividing 132,003,425 by 3:

132,003,425 ÷ 3 = 44,001,141.6667

If the quotient is a whole number, then 3 and 44,001,141.6667 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:

1 132,003,425
-1 -132,003,425

Let's try dividing by 4:

132,003,425 ÷ 4 = 33,000,856.25

If the quotient is a whole number, then 4 and 33,000,856.25 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:

1 132,003,425
-1 132,003,425
Keep dividing by the next highest number until you cannot divide anymore.

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

152531155775170,327851,6354,258,1755,280,13726,400,685132,003,425
-1-5-25-31-155-775-170,327-851,635-4,258,175-5,280,137-26,400,685-132,003,425

More Examples

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