Q: What are the factor combinations of the number 132,744,605?

 A:
Positive:   1 x 1327446055 x 265489217 x 1896351535 x 3792703449 x 2956452245 x 591293143 x 422358447 x 15715
Negative: -1 x -132744605-5 x -26548921-7 x -18963515-35 x -3792703-449 x -295645-2245 x -59129-3143 x -42235-8447 x -15715


How do I find the factor combinations of the number 132,744,605?

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 132,744,605, 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.

1 132,744,605
-1 -132,744,605

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 132,744,605.

Example:
1 x 132,744,605 = 132,744,605
and
-1 x -132,744,605 = 132,744,605
Notice both answers equal 132,744,605

With that explanation out of the way, let's continue. Next, we take the number 132,744,605 and divide it by 2:

132,744,605 ÷ 2 = 66,372,302.5

If the quotient is a whole number, then 2 and 66,372,302.5 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:

1 132,744,605
-1 -132,744,605

Now, we try dividing 132,744,605 by 3:

132,744,605 ÷ 3 = 44,248,201.6667

If the quotient is a whole number, then 3 and 44,248,201.6667 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:

1 132,744,605
-1 -132,744,605

Let's try dividing by 4:

132,744,605 ÷ 4 = 33,186,151.25

If the quotient is a whole number, then 4 and 33,186,151.25 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:

1 132,744,605
-1 132,744,605
Keep dividing by the next highest number until you cannot divide anymore.

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

157354492,2453,1438,44715,71542,23559,129295,6453,792,70318,963,51526,548,921132,744,605
-1-5-7-35-449-2,245-3,143-8,447-15,715-42,235-59,129-295,645-3,792,703-18,963,515-26,548,921-132,744,605

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