Q: What are the factor combinations of the number 8,375,125?

 A:
Positive:   1 x 83751255 x 167502511 x 76137525 x 33500555 x 152275125 x 67001275 x 304551375 x 6091
Negative: -1 x -8375125-5 x -1675025-11 x -761375-25 x -335005-55 x -152275-125 x -67001-275 x -30455-1375 x -6091


How do I find the factor combinations of the number 8,375,125?

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 8,375,125, 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 8,375,125
-1 -8,375,125

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 8,375,125.

Example:
1 x 8,375,125 = 8,375,125
and
-1 x -8,375,125 = 8,375,125
Notice both answers equal 8,375,125

With that explanation out of the way, let's continue. Next, we take the number 8,375,125 and divide it by 2:

8,375,125 ÷ 2 = 4,187,562.5

If the quotient is a whole number, then 2 and 4,187,562.5 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 8,375,125
-1 -8,375,125

Now, we try dividing 8,375,125 by 3:

8,375,125 ÷ 3 = 2,791,708.3333

If the quotient is a whole number, then 3 and 2,791,708.3333 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 8,375,125
-1 -8,375,125

Let's try dividing by 4:

8,375,125 ÷ 4 = 2,093,781.25

If the quotient is a whole number, then 4 and 2,093,781.25 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 8,375,125
-1 8,375,125
Keep dividing by the next highest number until you cannot divide anymore.

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

151125551252751,3756,09130,45567,001152,275335,005761,3751,675,0258,375,125
-1-5-11-25-55-125-275-1,375-6,091-30,455-67,001-152,275-335,005-761,375-1,675,025-8,375,125

More Examples

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