Q: What are the factor combinations of the number 8,492,125?

 A:
Positive:   1 x 84921255 x 169842525 x 33968541 x 207125125 x 67937205 x 414251025 x 82851657 x 5125
Negative: -1 x -8492125-5 x -1698425-25 x -339685-41 x -207125-125 x -67937-205 x -41425-1025 x -8285-1657 x -5125


How do I find the factor combinations of the number 8,492,125?

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 8,492,125, 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 8,492,125
-1 -8,492,125

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 8,492,125.

Example:
1 x 8,492,125 = 8,492,125
and
-1 x -8,492,125 = 8,492,125
Notice both answers equal 8,492,125

With that explanation out of the way, let's continue. Next, we take the number 8,492,125 and divide it by 2:

8,492,125 ÷ 2 = 4,246,062.5

If the quotient is a whole number, then 2 and 4,246,062.5 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 8,492,125
-1 -8,492,125

Now, we try dividing 8,492,125 by 3:

8,492,125 ÷ 3 = 2,830,708.3333

If the quotient is a whole number, then 3 and 2,830,708.3333 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 8,492,125
-1 -8,492,125

Let's try dividing by 4:

8,492,125 ÷ 4 = 2,123,031.25

If the quotient is a whole number, then 4 and 2,123,031.25 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 8,492,125
-1 8,492,125
Keep dividing by the next highest number until you cannot divide anymore.

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

1525411252051,0251,6575,1258,28541,42567,937207,125339,6851,698,4258,492,125
-1-5-25-41-125-205-1,025-1,657-5,125-8,285-41,425-67,937-207,125-339,685-1,698,425-8,492,125

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