Q: What are the factor combinations of the number 132,752,449?

 A:
Positive:   1 x 13275244919 x 6986971157 x 845557191 x 695039233 x 5697532983 x 445033629 x 365814427 x 29987
Negative: -1 x -132752449-19 x -6986971-157 x -845557-191 x -695039-233 x -569753-2983 x -44503-3629 x -36581-4427 x -29987


How do I find the factor combinations of the number 132,752,449?

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 132,752,449, 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.

1 132,752,449
-1 -132,752,449

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 132,752,449.

Example:
1 x 132,752,449 = 132,752,449
and
-1 x -132,752,449 = 132,752,449
Notice both answers equal 132,752,449

With that explanation out of the way, let's continue. Next, we take the number 132,752,449 and divide it by 2:

132,752,449 ÷ 2 = 66,376,224.5

If the quotient is a whole number, then 2 and 66,376,224.5 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:

1 132,752,449
-1 -132,752,449

Now, we try dividing 132,752,449 by 3:

132,752,449 ÷ 3 = 44,250,816.3333

If the quotient is a whole number, then 3 and 44,250,816.3333 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:

1 132,752,449
-1 -132,752,449

Let's try dividing by 4:

132,752,449 ÷ 4 = 33,188,112.25

If the quotient is a whole number, then 4 and 33,188,112.25 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:

1 132,752,449
-1 132,752,449
Keep dividing by the next highest number until you cannot divide anymore.

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

1191571912332,9833,6294,42729,98736,58144,503569,753695,039845,5576,986,971132,752,449
-1-19-157-191-233-2,983-3,629-4,427-29,987-36,581-44,503-569,753-695,039-845,557-6,986,971-132,752,449

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