Q: What are the factor combinations of the number 375,071,765?

 A:
Positive:   1 x 3750717655 x 7501435317 x 2206304585 x 44126092003 x 1872552203 x 17025510015 x 3745111015 x 34051
Negative: -1 x -375071765-5 x -75014353-17 x -22063045-85 x -4412609-2003 x -187255-2203 x -170255-10015 x -37451-11015 x -34051


How do I find the factor combinations of the number 375,071,765?

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 375,071,765, 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.

1 375,071,765
-1 -375,071,765

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 375,071,765.

Example:
1 x 375,071,765 = 375,071,765
and
-1 x -375,071,765 = 375,071,765
Notice both answers equal 375,071,765

With that explanation out of the way, let's continue. Next, we take the number 375,071,765 and divide it by 2:

375,071,765 ÷ 2 = 187,535,882.5

If the quotient is a whole number, then 2 and 187,535,882.5 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:

1 375,071,765
-1 -375,071,765

Now, we try dividing 375,071,765 by 3:

375,071,765 ÷ 3 = 125,023,921.6667

If the quotient is a whole number, then 3 and 125,023,921.6667 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:

1 375,071,765
-1 -375,071,765

Let's try dividing by 4:

375,071,765 ÷ 4 = 93,767,941.25

If the quotient is a whole number, then 4 and 93,767,941.25 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:

1 375,071,765
-1 375,071,765
Keep dividing by the next highest number until you cannot divide anymore.

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

1517852,0032,20310,01511,01534,05137,451170,255187,2554,412,60922,063,04575,014,353375,071,765
-1-5-17-85-2,003-2,203-10,015-11,015-34,051-37,451-170,255-187,255-4,412,609-22,063,045-75,014,353-375,071,765

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