Q: What are the factor combinations of the number 18,431,315?

 A:
Positive:   1 x 184313155 x 36862637 x 263304517 x 108419535 x 52660985 x 216839119 x 154885595 x 30977
Negative: -1 x -18431315-5 x -3686263-7 x -2633045-17 x -1084195-35 x -526609-85 x -216839-119 x -154885-595 x -30977


How do I find the factor combinations of the number 18,431,315?

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 18,431,315, 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 18,431,315
-1 -18,431,315

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 18,431,315.

Example:
1 x 18,431,315 = 18,431,315
and
-1 x -18,431,315 = 18,431,315
Notice both answers equal 18,431,315

With that explanation out of the way, let's continue. Next, we take the number 18,431,315 and divide it by 2:

18,431,315 ÷ 2 = 9,215,657.5

If the quotient is a whole number, then 2 and 9,215,657.5 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 18,431,315
-1 -18,431,315

Now, we try dividing 18,431,315 by 3:

18,431,315 ÷ 3 = 6,143,771.6667

If the quotient is a whole number, then 3 and 6,143,771.6667 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 18,431,315
-1 -18,431,315

Let's try dividing by 4:

18,431,315 ÷ 4 = 4,607,828.75

If the quotient is a whole number, then 4 and 4,607,828.75 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 18,431,315
-1 18,431,315
Keep dividing by the next highest number until you cannot divide anymore.

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

15717358511959530,977154,885216,839526,6091,084,1952,633,0453,686,26318,431,315
-1-5-7-17-35-85-119-595-30,977-154,885-216,839-526,609-1,084,195-2,633,045-3,686,263-18,431,315

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