Q: What are the factor combinations of the number 132,432,545?

 A:
Positive:   1 x 1324325455 x 264865097 x 1891893535 x 378378749 x 2702705245 x 540541
Negative: -1 x -132432545-5 x -26486509-7 x -18918935-35 x -3783787-49 x -2702705-245 x -540541


How do I find the factor combinations of the number 132,432,545?

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 132,432,545, 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.

1 132,432,545
-1 -132,432,545

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 132,432,545.

Example:
1 x 132,432,545 = 132,432,545
and
-1 x -132,432,545 = 132,432,545
Notice both answers equal 132,432,545

With that explanation out of the way, let's continue. Next, we take the number 132,432,545 and divide it by 2:

132,432,545 ÷ 2 = 66,216,272.5

If the quotient is a whole number, then 2 and 66,216,272.5 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:

1 132,432,545
-1 -132,432,545

Now, we try dividing 132,432,545 by 3:

132,432,545 ÷ 3 = 44,144,181.6667

If the quotient is a whole number, then 3 and 44,144,181.6667 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:

1 132,432,545
-1 -132,432,545

Let's try dividing by 4:

132,432,545 ÷ 4 = 33,108,136.25

If the quotient is a whole number, then 4 and 33,108,136.25 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:

1 132,432,545
-1 132,432,545
Keep dividing by the next highest number until you cannot divide anymore.

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

1573549245540,5412,702,7053,783,78718,918,93526,486,509132,432,545
-1-5-7-35-49-245-540,541-2,702,705-3,783,787-18,918,935-26,486,509-132,432,545

More Examples

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