Q: What are the factor combinations of the number 132,020,255?

 A:
Positive:   1 x 1320202555 x 2640405137 x 3568115109 x 1211195185 x 713623545 x 2422394033 x 327356547 x 20165
Negative: -1 x -132020255-5 x -26404051-37 x -3568115-109 x -1211195-185 x -713623-545 x -242239-4033 x -32735-6547 x -20165


How do I find the factor combinations of the number 132,020,255?

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 132,020,255, 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.

1 132,020,255
-1 -132,020,255

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 132,020,255.

Example:
1 x 132,020,255 = 132,020,255
and
-1 x -132,020,255 = 132,020,255
Notice both answers equal 132,020,255

With that explanation out of the way, let's continue. Next, we take the number 132,020,255 and divide it by 2:

132,020,255 ÷ 2 = 66,010,127.5

If the quotient is a whole number, then 2 and 66,010,127.5 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:

1 132,020,255
-1 -132,020,255

Now, we try dividing 132,020,255 by 3:

132,020,255 ÷ 3 = 44,006,751.6667

If the quotient is a whole number, then 3 and 44,006,751.6667 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:

1 132,020,255
-1 -132,020,255

Let's try dividing by 4:

132,020,255 ÷ 4 = 33,005,063.75

If the quotient is a whole number, then 4 and 33,005,063.75 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:

1 132,020,255
-1 132,020,255
Keep dividing by the next highest number until you cannot divide anymore.

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

15371091855454,0336,54720,16532,735242,239713,6231,211,1953,568,11526,404,051132,020,255
-1-5-37-109-185-545-4,033-6,547-20,165-32,735-242,239-713,623-1,211,195-3,568,115-26,404,051-132,020,255

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