Q: What are the factor combinations of the number 628,519?
A:
Positive:
1 x 62851937 x 16987
Negative:
-1 x -628519-37 x -16987
A:
Positive:
1 x 62851937 x 16987
Negative:
-1 x -628519-37 x -16987
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 628,519, 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 | 628,519 | |
-1 | -628,519 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 628,519.
Example:
1 x 628,519 = 628,519
and
-1 x -628,519 = 628,519
Notice both answers equal 628,519
With that explanation out of the way, let's continue. Next, we take the number 628,519 and divide it by 2:
628,519 ÷ 2 = 314,259.5
If the quotient is a whole number, then 2 and 314,259.5 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 | 628,519 | |
-1 | -628,519 |
Now, we try dividing 628,519 by 3:
628,519 ÷ 3 = 209,506.3333
If the quotient is a whole number, then 3 and 209,506.3333 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 | 628,519 | |
-1 | -628,519 |
Let's try dividing by 4:
628,519 ÷ 4 = 157,129.75
If the quotient is a whole number, then 4 and 157,129.75 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 | 628,519 | |
-1 | 628,519 |
If you did it right, you will end up with this table:
1 | 37 | 16,987 | 628,519 |
-1 | -37 | -16,987 | -628,519 |
Here are some more numbers to try:
Try the factor calculator