Q: What are the factor combinations of the number 18,488,675?

 A:
Positive:   1 x 184886755 x 369773525 x 739547541 x 341751367 x 135252705 x 6835
Negative: -1 x -18488675-5 x -3697735-25 x -739547-541 x -34175-1367 x -13525-2705 x -6835


How do I find the factor combinations of the number 18,488,675?

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 18,488,675, 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 18,488,675
-1 -18,488,675

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 18,488,675.

Example:
1 x 18,488,675 = 18,488,675
and
-1 x -18,488,675 = 18,488,675
Notice both answers equal 18,488,675

With that explanation out of the way, let's continue. Next, we take the number 18,488,675 and divide it by 2:

18,488,675 ÷ 2 = 9,244,337.5

If the quotient is a whole number, then 2 and 9,244,337.5 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 18,488,675
-1 -18,488,675

Now, we try dividing 18,488,675 by 3:

18,488,675 ÷ 3 = 6,162,891.6667

If the quotient is a whole number, then 3 and 6,162,891.6667 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 18,488,675
-1 -18,488,675

Let's try dividing by 4:

18,488,675 ÷ 4 = 4,622,168.75

If the quotient is a whole number, then 4 and 4,622,168.75 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 18,488,675
-1 18,488,675
Keep dividing by the next highest number until you cannot divide anymore.

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

15255411,3672,7056,83513,52534,175739,5473,697,73518,488,675
-1-5-25-541-1,367-2,705-6,835-13,525-34,175-739,547-3,697,735-18,488,675

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