Q: What are the factor combinations of the number 132,103,655?

 A:
Positive:   1 x 1321036555 x 2642073159 x 2239045295 x 447809431 x 3065051039 x 1271452155 x 613015195 x 25429
Negative: -1 x -132103655-5 x -26420731-59 x -2239045-295 x -447809-431 x -306505-1039 x -127145-2155 x -61301-5195 x -25429


How do I find the factor combinations of the number 132,103,655?

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 132,103,655, 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.

1 132,103,655
-1 -132,103,655

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 132,103,655.

Example:
1 x 132,103,655 = 132,103,655
and
-1 x -132,103,655 = 132,103,655
Notice both answers equal 132,103,655

With that explanation out of the way, let's continue. Next, we take the number 132,103,655 and divide it by 2:

132,103,655 ÷ 2 = 66,051,827.5

If the quotient is a whole number, then 2 and 66,051,827.5 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:

1 132,103,655
-1 -132,103,655

Now, we try dividing 132,103,655 by 3:

132,103,655 ÷ 3 = 44,034,551.6667

If the quotient is a whole number, then 3 and 44,034,551.6667 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:

1 132,103,655
-1 -132,103,655

Let's try dividing by 4:

132,103,655 ÷ 4 = 33,025,913.75

If the quotient is a whole number, then 4 and 33,025,913.75 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:

1 132,103,655
-1 132,103,655
Keep dividing by the next highest number until you cannot divide anymore.

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

15592954311,0392,1555,19525,42961,301127,145306,505447,8092,239,04526,420,731132,103,655
-1-5-59-295-431-1,039-2,155-5,195-25,429-61,301-127,145-306,505-447,809-2,239,045-26,420,731-132,103,655

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