Q: What are the factor combinations of the number 318,307?

 A:
Positive:   1 x 31830711 x 2893719 x 16753209 x 1523
Negative: -1 x -318307-11 x -28937-19 x -16753-209 x -1523


How do I find the factor combinations of the number 318,307?

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 318,307, 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.

1 318,307
-1 -318,307

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 318,307.

Example:
1 x 318,307 = 318,307
and
-1 x -318,307 = 318,307
Notice both answers equal 318,307

With that explanation out of the way, let's continue. Next, we take the number 318,307 and divide it by 2:

318,307 ÷ 2 = 159,153.5

If the quotient is a whole number, then 2 and 159,153.5 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:

1 318,307
-1 -318,307

Now, we try dividing 318,307 by 3:

318,307 ÷ 3 = 106,102.3333

If the quotient is a whole number, then 3 and 106,102.3333 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:

1 318,307
-1 -318,307

Let's try dividing by 4:

318,307 ÷ 4 = 79,576.75

If the quotient is a whole number, then 4 and 79,576.75 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:

1 318,307
-1 318,307
Keep dividing by the next highest number until you cannot divide anymore.

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

111192091,52316,75328,937318,307
-1-11-19-209-1,523-16,753-28,937-318,307

More Examples

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