Q: What are the factor combinations of the number 316,537?
A:
Positive:
1 x 31653713 x 24349169 x 1873
Negative:
-1 x -316537-13 x -24349-169 x -1873
A:
Positive:
1 x 31653713 x 24349169 x 1873
Negative:
-1 x -316537-13 x -24349-169 x -1873
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 316,537, 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 | 316,537 | |
-1 | -316,537 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 316,537.
Example:
1 x 316,537 = 316,537
and
-1 x -316,537 = 316,537
Notice both answers equal 316,537
With that explanation out of the way, let's continue. Next, we take the number 316,537 and divide it by 2:
316,537 ÷ 2 = 158,268.5
If the quotient is a whole number, then 2 and 158,268.5 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 | 316,537 | |
-1 | -316,537 |
Now, we try dividing 316,537 by 3:
316,537 ÷ 3 = 105,512.3333
If the quotient is a whole number, then 3 and 105,512.3333 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 | 316,537 | |
-1 | -316,537 |
Let's try dividing by 4:
316,537 ÷ 4 = 79,134.25
If the quotient is a whole number, then 4 and 79,134.25 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 | 316,537 | |
-1 | 316,537 |
If you did it right, you will end up with this table:
1 | 13 | 169 | 1,873 | 24,349 | 316,537 |
-1 | -13 | -169 | -1,873 | -24,349 | -316,537 |
Here are some more numbers to try:
Try the factor calculator