Q: What are the factor combinations of the number 318,725?

 A:
Positive:   1 x 3187255 x 6374511 x 2897519 x 1677525 x 1274955 x 579561 x 522595 x 3355209 x 1525275 x 1159305 x 1045475 x 671
Negative: -1 x -318725-5 x -63745-11 x -28975-19 x -16775-25 x -12749-55 x -5795-61 x -5225-95 x -3355-209 x -1525-275 x -1159-305 x -1045-475 x -671


How do I find the factor combinations of the number 318,725?

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 318,725, 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.

1 318,725
-1 -318,725

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 318,725.

Example:
1 x 318,725 = 318,725
and
-1 x -318,725 = 318,725
Notice both answers equal 318,725

With that explanation out of the way, let's continue. Next, we take the number 318,725 and divide it by 2:

318,725 ÷ 2 = 159,362.5

If the quotient is a whole number, then 2 and 159,362.5 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:

1 318,725
-1 -318,725

Now, we try dividing 318,725 by 3:

318,725 ÷ 3 = 106,241.6667

If the quotient is a whole number, then 3 and 106,241.6667 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:

1 318,725
-1 -318,725

Let's try dividing by 4:

318,725 ÷ 4 = 79,681.25

If the quotient is a whole number, then 4 and 79,681.25 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:

1 318,725
-1 318,725
Keep dividing by the next highest number until you cannot divide anymore.

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

151119255561952092753054756711,0451,1591,5253,3555,2255,79512,74916,77528,97563,745318,725
-1-5-11-19-25-55-61-95-209-275-305-475-671-1,045-1,159-1,525-3,355-5,225-5,795-12,749-16,775-28,975-63,745-318,725

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