Q: What are the factor combinations of the number 313,775?

 A:
Positive:   1 x 3137755 x 627557 x 4482511 x 2852525 x 1255135 x 896555 x 570577 x 4075163 x 1925175 x 1793275 x 1141385 x 815
Negative: -1 x -313775-5 x -62755-7 x -44825-11 x -28525-25 x -12551-35 x -8965-55 x -5705-77 x -4075-163 x -1925-175 x -1793-275 x -1141-385 x -815


How do I find the factor combinations of the number 313,775?

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 313,775, 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.

1 313,775
-1 -313,775

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 313,775.

Example:
1 x 313,775 = 313,775
and
-1 x -313,775 = 313,775
Notice both answers equal 313,775

With that explanation out of the way, let's continue. Next, we take the number 313,775 and divide it by 2:

313,775 ÷ 2 = 156,887.5

If the quotient is a whole number, then 2 and 156,887.5 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:

1 313,775
-1 -313,775

Now, we try dividing 313,775 by 3:

313,775 ÷ 3 = 104,591.6667

If the quotient is a whole number, then 3 and 104,591.6667 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:

1 313,775
-1 -313,775

Let's try dividing by 4:

313,775 ÷ 4 = 78,443.75

If the quotient is a whole number, then 4 and 78,443.75 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:

1 313,775
-1 313,775
Keep dividing by the next highest number until you cannot divide anymore.

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

15711253555771631752753858151,1411,7931,9254,0755,7058,96512,55128,52544,82562,755313,775
-1-5-7-11-25-35-55-77-163-175-275-385-815-1,141-1,793-1,925-4,075-5,705-8,965-12,551-28,525-44,825-62,755-313,775

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