Q: What are the factor combinations of the number 318,228?

 A:
Positive:   1 x 3182282 x 1591143 x 1060764 x 795576 x 5303812 x 2651923 x 1383646 x 691869 x 461292 x 3459138 x 2306276 x 1153
Negative: -1 x -318228-2 x -159114-3 x -106076-4 x -79557-6 x -53038-12 x -26519-23 x -13836-46 x -6918-69 x -4612-92 x -3459-138 x -2306-276 x -1153


How do I find the factor combinations of the number 318,228?

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 318,228, 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.

1 318,228
-1 -318,228

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 318,228.

Example:
1 x 318,228 = 318,228
and
-1 x -318,228 = 318,228
Notice both answers equal 318,228

With that explanation out of the way, let's continue. Next, we take the number 318,228 and divide it by 2:

318,228 ÷ 2 = 159,114

If the quotient is a whole number, then 2 and 159,114 are factors. In this case, the quotient is a whole number. Write them in the table inside the other two factors like the below example. Don't forget to write the negative numbers too!

Here is what our table should look like at this step:

1 2 159,114 318,228
-1 -2 -159,114 -318,228

Now, we try dividing 318,228 by 3:

318,228 ÷ 3 = 106,076

If the quotient is a whole number, then 3 and 106,076 are factors. In this case, the quotient is a whole number. Write them in the table inside the other two factors like the below example. Don't forget to write the negative numbers too!

Here is what our table should look like at this step:

1 2 3 106,076 159,114 318,228
-1 -2 -3 -106,076 -159,114 -318,228

Let's try dividing by 4:

318,228 ÷ 4 = 79,557

If the quotient is a whole number, then 4 and 79,557 are factors. In this case, the quotient is a whole number. Write them in the table inside the other two factors like the below example. Don't forget to write the negative numbers too!

Here is what our table should look like at this step:

1 2 3 4 79,557 106,076 159,114 318,228
-1 -2 -3 -4 -79,557 -106,076 -159,114 318,228
Keep dividing by the next highest number until you cannot divide anymore.

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

1234612234669921382761,1532,3063,4594,6126,91813,83626,51953,03879,557106,076159,114318,228
-1-2-3-4-6-12-23-46-69-92-138-276-1,153-2,306-3,459-4,612-6,918-13,836-26,519-53,038-79,557-106,076-159,114-318,228

More Examples

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