Q: What are the factor combinations of the number 132,572,245?

 A:
Positive:   1 x 1325722455 x 2651444913 x 1019786565 x 2039573293 x 4524651465 x 904933809 x 348056961 x 19045
Negative: -1 x -132572245-5 x -26514449-13 x -10197865-65 x -2039573-293 x -452465-1465 x -90493-3809 x -34805-6961 x -19045


How do I find the factor combinations of the number 132,572,245?

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 132,572,245, 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.

1 132,572,245
-1 -132,572,245

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 132,572,245.

Example:
1 x 132,572,245 = 132,572,245
and
-1 x -132,572,245 = 132,572,245
Notice both answers equal 132,572,245

With that explanation out of the way, let's continue. Next, we take the number 132,572,245 and divide it by 2:

132,572,245 ÷ 2 = 66,286,122.5

If the quotient is a whole number, then 2 and 66,286,122.5 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:

1 132,572,245
-1 -132,572,245

Now, we try dividing 132,572,245 by 3:

132,572,245 ÷ 3 = 44,190,748.3333

If the quotient is a whole number, then 3 and 44,190,748.3333 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:

1 132,572,245
-1 -132,572,245

Let's try dividing by 4:

132,572,245 ÷ 4 = 33,143,061.25

If the quotient is a whole number, then 4 and 33,143,061.25 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:

1 132,572,245
-1 132,572,245
Keep dividing by the next highest number until you cannot divide anymore.

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

1513652931,4653,8096,96119,04534,80590,493452,4652,039,57310,197,86526,514,449132,572,245
-1-5-13-65-293-1,465-3,809-6,961-19,045-34,805-90,493-452,465-2,039,573-10,197,865-26,514,449-132,572,245

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