Q: What are the factor combinations of the number 8,431,375?

 A:
Positive:   1 x 84313755 x 168627525 x 33725537 x 227875125 x 67451185 x 45575925 x 91151823 x 4625
Negative: -1 x -8431375-5 x -1686275-25 x -337255-37 x -227875-125 x -67451-185 x -45575-925 x -9115-1823 x -4625


How do I find the factor combinations of the number 8,431,375?

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 8,431,375, 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 8,431,375
-1 -8,431,375

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 8,431,375.

Example:
1 x 8,431,375 = 8,431,375
and
-1 x -8,431,375 = 8,431,375
Notice both answers equal 8,431,375

With that explanation out of the way, let's continue. Next, we take the number 8,431,375 and divide it by 2:

8,431,375 ÷ 2 = 4,215,687.5

If the quotient is a whole number, then 2 and 4,215,687.5 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 8,431,375
-1 -8,431,375

Now, we try dividing 8,431,375 by 3:

8,431,375 ÷ 3 = 2,810,458.3333

If the quotient is a whole number, then 3 and 2,810,458.3333 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 8,431,375
-1 -8,431,375

Let's try dividing by 4:

8,431,375 ÷ 4 = 2,107,843.75

If the quotient is a whole number, then 4 and 2,107,843.75 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 8,431,375
-1 8,431,375
Keep dividing by the next highest number until you cannot divide anymore.

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

1525371251859251,8234,6259,11545,57567,451227,875337,2551,686,2758,431,375
-1-5-25-37-125-185-925-1,823-4,625-9,115-45,575-67,451-227,875-337,255-1,686,275-8,431,375

More Examples

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