Q: What are the factor combinations of the number 372,935,675?

 A:
Positive:   1 x 3729356755 x 745871357 x 5327652525 x 1491742735 x 10655305175 x 2131061353 x 10564751765 x 2112952471 x 1509256037 x 617758825 x 4225912355 x 30185
Negative: -1 x -372935675-5 x -74587135-7 x -53276525-25 x -14917427-35 x -10655305-175 x -2131061-353 x -1056475-1765 x -211295-2471 x -150925-6037 x -61775-8825 x -42259-12355 x -30185


How do I find the factor combinations of the number 372,935,675?

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 372,935,675, 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.

1 372,935,675
-1 -372,935,675

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 372,935,675.

Example:
1 x 372,935,675 = 372,935,675
and
-1 x -372,935,675 = 372,935,675
Notice both answers equal 372,935,675

With that explanation out of the way, let's continue. Next, we take the number 372,935,675 and divide it by 2:

372,935,675 ÷ 2 = 186,467,837.5

If the quotient is a whole number, then 2 and 186,467,837.5 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:

1 372,935,675
-1 -372,935,675

Now, we try dividing 372,935,675 by 3:

372,935,675 ÷ 3 = 124,311,891.6667

If the quotient is a whole number, then 3 and 124,311,891.6667 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:

1 372,935,675
-1 -372,935,675

Let's try dividing by 4:

372,935,675 ÷ 4 = 93,233,918.75

If the quotient is a whole number, then 4 and 93,233,918.75 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:

1 372,935,675
-1 372,935,675
Keep dividing by the next highest number until you cannot divide anymore.

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

15725351753531,7652,4716,0378,82512,35530,18542,25961,775150,925211,2951,056,4752,131,06110,655,30514,917,42753,276,52574,587,135372,935,675
-1-5-7-25-35-175-353-1,765-2,471-6,037-8,825-12,355-30,185-42,259-61,775-150,925-211,295-1,056,475-2,131,061-10,655,305-14,917,427-53,276,525-74,587,135-372,935,675

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