Q: What are the factor combinations of the number 316,325?
A:
Positive:
1 x 3163255 x 6326525 x 12653
Negative:
-1 x -316325-5 x -63265-25 x -12653
A:
Positive:
1 x 3163255 x 6326525 x 12653
Negative:
-1 x -316325-5 x -63265-25 x -12653
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 316,325, it is easier to work with a table - it's called factoring from the outside in.
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 | 316,325 | |
-1 | -316,325 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 316,325.
Example:
1 x 316,325 = 316,325
and
-1 x -316,325 = 316,325
Notice both answers equal 316,325
With that explanation out of the way, let's continue. Next, we take the number 316,325 and divide it by 2:
316,325 ÷ 2 = 158,162.5
If the quotient is a whole number, then 2 and 158,162.5 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 | 316,325 | |
-1 | -316,325 |
Now, we try dividing 316,325 by 3:
316,325 ÷ 3 = 105,441.6667
If the quotient is a whole number, then 3 and 105,441.6667 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 | 316,325 | |
-1 | -316,325 |
Let's try dividing by 4:
316,325 ÷ 4 = 79,081.25
If the quotient is a whole number, then 4 and 79,081.25 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 | 316,325 | |
-1 | 316,325 |
If you did it right, you will end up with this table:
1 | 5 | 25 | 12,653 | 63,265 | 316,325 |
-1 | -5 | -25 | -12,653 | -63,265 | -316,325 |
Here are some more numbers to try:
Try the factor calculator