Q: What are the factor combinations of the number 687,371?
A:
Positive:
1 x 687371163 x 4217
Negative:
-1 x -687371-163 x -4217
A:
Positive:
1 x 687371163 x 4217
Negative:
-1 x -687371-163 x -4217
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 687,371, 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 | 687,371 | |
-1 | -687,371 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 687,371.
Example:
1 x 687,371 = 687,371
and
-1 x -687,371 = 687,371
Notice both answers equal 687,371
With that explanation out of the way, let's continue. Next, we take the number 687,371 and divide it by 2:
687,371 ÷ 2 = 343,685.5
If the quotient is a whole number, then 2 and 343,685.5 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 | 687,371 | |
-1 | -687,371 |
Now, we try dividing 687,371 by 3:
687,371 ÷ 3 = 229,123.6667
If the quotient is a whole number, then 3 and 229,123.6667 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 | 687,371 | |
-1 | -687,371 |
Let's try dividing by 4:
687,371 ÷ 4 = 171,842.75
If the quotient is a whole number, then 4 and 171,842.75 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 | 687,371 | |
-1 | 687,371 |
If you did it right, you will end up with this table:
1 | 163 | 4,217 | 687,371 |
-1 | -163 | -4,217 | -687,371 |
Here are some more numbers to try:
Try the factor calculator