Q: What are the factor combinations of the number 132,655,645?

 A:
Positive:   1 x 1326556455 x 2653112943 x 308501567 x 1979935215 x 617003335 x 3959872881 x 460459209 x 14405
Negative: -1 x -132655645-5 x -26531129-43 x -3085015-67 x -1979935-215 x -617003-335 x -395987-2881 x -46045-9209 x -14405


How do I find the factor combinations of the number 132,655,645?

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 132,655,645, 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.

1 132,655,645
-1 -132,655,645

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 132,655,645.

Example:
1 x 132,655,645 = 132,655,645
and
-1 x -132,655,645 = 132,655,645
Notice both answers equal 132,655,645

With that explanation out of the way, let's continue. Next, we take the number 132,655,645 and divide it by 2:

132,655,645 ÷ 2 = 66,327,822.5

If the quotient is a whole number, then 2 and 66,327,822.5 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:

1 132,655,645
-1 -132,655,645

Now, we try dividing 132,655,645 by 3:

132,655,645 ÷ 3 = 44,218,548.3333

If the quotient is a whole number, then 3 and 44,218,548.3333 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:

1 132,655,645
-1 -132,655,645

Let's try dividing by 4:

132,655,645 ÷ 4 = 33,163,911.25

If the quotient is a whole number, then 4 and 33,163,911.25 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:

1 132,655,645
-1 132,655,645
Keep dividing by the next highest number until you cannot divide anymore.

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

1543672153352,8819,20914,40546,045395,987617,0031,979,9353,085,01526,531,129132,655,645
-1-5-43-67-215-335-2,881-9,209-14,405-46,045-395,987-617,003-1,979,935-3,085,015-26,531,129-132,655,645

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