Q: What are the factor combinations of the number 17,970,925?

 A:
Positive:   1 x 179709255 x 35941857 x 256727525 x 71883735 x 513455103 x 174475175 x 102691515 x 34895721 x 24925997 x 180252575 x 69793605 x 4985
Negative: -1 x -17970925-5 x -3594185-7 x -2567275-25 x -718837-35 x -513455-103 x -174475-175 x -102691-515 x -34895-721 x -24925-997 x -18025-2575 x -6979-3605 x -4985


How do I find the factor combinations of the number 17,970,925?

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 17,970,925, 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 17,970,925
-1 -17,970,925

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 17,970,925.

Example:
1 x 17,970,925 = 17,970,925
and
-1 x -17,970,925 = 17,970,925
Notice both answers equal 17,970,925

With that explanation out of the way, let's continue. Next, we take the number 17,970,925 and divide it by 2:

17,970,925 ÷ 2 = 8,985,462.5

If the quotient is a whole number, then 2 and 8,985,462.5 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 17,970,925
-1 -17,970,925

Now, we try dividing 17,970,925 by 3:

17,970,925 ÷ 3 = 5,990,308.3333

If the quotient is a whole number, then 3 and 5,990,308.3333 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 17,970,925
-1 -17,970,925

Let's try dividing by 4:

17,970,925 ÷ 4 = 4,492,731.25

If the quotient is a whole number, then 4 and 4,492,731.25 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 17,970,925
-1 17,970,925
Keep dividing by the next highest number until you cannot divide anymore.

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

15725351031755157219972,5753,6054,9856,97918,02524,92534,895102,691174,475513,455718,8372,567,2753,594,18517,970,925
-1-5-7-25-35-103-175-515-721-997-2,575-3,605-4,985-6,979-18,025-24,925-34,895-102,691-174,475-513,455-718,837-2,567,275-3,594,185-17,970,925

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