Q: What are the factor combinations of the number 251,707?
A:
Positive:
1 x 251707
Negative:
-1 x -251707
A:
Positive:
1 x 251707
Negative:
-1 x -251707
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 251,707, 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 | 251,707 | |
-1 | -251,707 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 251,707.
Example:
1 x 251,707 = 251,707
and
-1 x -251,707 = 251,707
Notice both answers equal 251,707
With that explanation out of the way, let's continue. Next, we take the number 251,707 and divide it by 2:
251,707 ÷ 2 = 125,853.5
If the quotient is a whole number, then 2 and 125,853.5 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 | 251,707 | |
-1 | -251,707 |
Now, we try dividing 251,707 by 3:
251,707 ÷ 3 = 83,902.3333
If the quotient is a whole number, then 3 and 83,902.3333 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 | 251,707 | |
-1 | -251,707 |
Let's try dividing by 4:
251,707 ÷ 4 = 62,926.75
If the quotient is a whole number, then 4 and 62,926.75 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 | 251,707 | |
-1 | 251,707 |
If you did it right, you will end up with this table:
1 | 251,707 |
-1 | -251,707 |
Here are some more numbers to try:
Try the factor calculator