Q: What are the factor combinations of the number 627,521?
A:
Positive:
1 x 62752117 x 36913
Negative:
-1 x -627521-17 x -36913
A:
Positive:
1 x 62752117 x 36913
Negative:
-1 x -627521-17 x -36913
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 627,521, 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 | 627,521 | |
-1 | -627,521 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 627,521.
Example:
1 x 627,521 = 627,521
and
-1 x -627,521 = 627,521
Notice both answers equal 627,521
With that explanation out of the way, let's continue. Next, we take the number 627,521 and divide it by 2:
627,521 ÷ 2 = 313,760.5
If the quotient is a whole number, then 2 and 313,760.5 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 | 627,521 | |
-1 | -627,521 |
Now, we try dividing 627,521 by 3:
627,521 ÷ 3 = 209,173.6667
If the quotient is a whole number, then 3 and 209,173.6667 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 | 627,521 | |
-1 | -627,521 |
Let's try dividing by 4:
627,521 ÷ 4 = 156,880.25
If the quotient is a whole number, then 4 and 156,880.25 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 | 627,521 | |
-1 | 627,521 |
If you did it right, you will end up with this table:
1 | 17 | 36,913 | 627,521 |
-1 | -17 | -36,913 | -627,521 |
Here are some more numbers to try:
Try the factor calculator