Q: What are the factor combinations of the number 132,542,555?

 A:
Positive:   1 x 1325425555 x 2650851143 x 3082385215 x 616477449 x 2951951373 x 965352245 x 590396865 x 19307
Negative: -1 x -132542555-5 x -26508511-43 x -3082385-215 x -616477-449 x -295195-1373 x -96535-2245 x -59039-6865 x -19307


How do I find the factor combinations of the number 132,542,555?

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 132,542,555, 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.

1 132,542,555
-1 -132,542,555

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 132,542,555.

Example:
1 x 132,542,555 = 132,542,555
and
-1 x -132,542,555 = 132,542,555
Notice both answers equal 132,542,555

With that explanation out of the way, let's continue. Next, we take the number 132,542,555 and divide it by 2:

132,542,555 ÷ 2 = 66,271,277.5

If the quotient is a whole number, then 2 and 66,271,277.5 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:

1 132,542,555
-1 -132,542,555

Now, we try dividing 132,542,555 by 3:

132,542,555 ÷ 3 = 44,180,851.6667

If the quotient is a whole number, then 3 and 44,180,851.6667 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:

1 132,542,555
-1 -132,542,555

Let's try dividing by 4:

132,542,555 ÷ 4 = 33,135,638.75

If the quotient is a whole number, then 4 and 33,135,638.75 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:

1 132,542,555
-1 132,542,555
Keep dividing by the next highest number until you cannot divide anymore.

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

15432154491,3732,2456,86519,30759,03996,535295,195616,4773,082,38526,508,511132,542,555
-1-5-43-215-449-1,373-2,245-6,865-19,307-59,039-96,535-295,195-616,477-3,082,385-26,508,511-132,542,555

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