Q: What are the factor combinations of the number 18,462,515?

 A:
Positive:   1 x 184625155 x 369250331 x 595565155 x 119113311 x 59365383 x 482051555 x 118731915 x 9641
Negative: -1 x -18462515-5 x -3692503-31 x -595565-155 x -119113-311 x -59365-383 x -48205-1555 x -11873-1915 x -9641


How do I find the factor combinations of the number 18,462,515?

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 18,462,515, 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 18,462,515
-1 -18,462,515

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 18,462,515.

Example:
1 x 18,462,515 = 18,462,515
and
-1 x -18,462,515 = 18,462,515
Notice both answers equal 18,462,515

With that explanation out of the way, let's continue. Next, we take the number 18,462,515 and divide it by 2:

18,462,515 ÷ 2 = 9,231,257.5

If the quotient is a whole number, then 2 and 9,231,257.5 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 18,462,515
-1 -18,462,515

Now, we try dividing 18,462,515 by 3:

18,462,515 ÷ 3 = 6,154,171.6667

If the quotient is a whole number, then 3 and 6,154,171.6667 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 18,462,515
-1 -18,462,515

Let's try dividing by 4:

18,462,515 ÷ 4 = 4,615,628.75

If the quotient is a whole number, then 4 and 4,615,628.75 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 18,462,515
-1 18,462,515
Keep dividing by the next highest number until you cannot divide anymore.

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

15311553113831,5551,9159,64111,87348,20559,365119,113595,5653,692,50318,462,515
-1-5-31-155-311-383-1,555-1,915-9,641-11,873-48,205-59,365-119,113-595,565-3,692,503-18,462,515

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