Q: What are the factor combinations of the number 9,374,125?

 A:
Positive:   1 x 93741255 x 187482519 x 49337525 x 37496595 x 98675125 x 74993475 x 197352375 x 3947
Negative: -1 x -9374125-5 x -1874825-19 x -493375-25 x -374965-95 x -98675-125 x -74993-475 x -19735-2375 x -3947


How do I find the factor combinations of the number 9,374,125?

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 9,374,125, 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 9,374,125
-1 -9,374,125

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 9,374,125.

Example:
1 x 9,374,125 = 9,374,125
and
-1 x -9,374,125 = 9,374,125
Notice both answers equal 9,374,125

With that explanation out of the way, let's continue. Next, we take the number 9,374,125 and divide it by 2:

9,374,125 ÷ 2 = 4,687,062.5

If the quotient is a whole number, then 2 and 4,687,062.5 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 9,374,125
-1 -9,374,125

Now, we try dividing 9,374,125 by 3:

9,374,125 ÷ 3 = 3,124,708.3333

If the quotient is a whole number, then 3 and 3,124,708.3333 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 9,374,125
-1 -9,374,125

Let's try dividing by 4:

9,374,125 ÷ 4 = 2,343,531.25

If the quotient is a whole number, then 4 and 2,343,531.25 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 9,374,125
-1 9,374,125
Keep dividing by the next highest number until you cannot divide anymore.

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

151925951254752,3753,94719,73574,99398,675374,965493,3751,874,8259,374,125
-1-5-19-25-95-125-475-2,375-3,947-19,735-74,993-98,675-374,965-493,375-1,874,825-9,374,125

More Examples

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