Q: What are the factor combinations of the number 640,519?
A:
Positive:
1 x 64051911 x 58229
Negative:
-1 x -640519-11 x -58229
A:
Positive:
1 x 64051911 x 58229
Negative:
-1 x -640519-11 x -58229
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 640,519, 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 | 640,519 | |
-1 | -640,519 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 640,519.
Example:
1 x 640,519 = 640,519
and
-1 x -640,519 = 640,519
Notice both answers equal 640,519
With that explanation out of the way, let's continue. Next, we take the number 640,519 and divide it by 2:
640,519 ÷ 2 = 320,259.5
If the quotient is a whole number, then 2 and 320,259.5 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 | 640,519 | |
-1 | -640,519 |
Now, we try dividing 640,519 by 3:
640,519 ÷ 3 = 213,506.3333
If the quotient is a whole number, then 3 and 213,506.3333 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 | 640,519 | |
-1 | -640,519 |
Let's try dividing by 4:
640,519 ÷ 4 = 160,129.75
If the quotient is a whole number, then 4 and 160,129.75 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 | 640,519 | |
-1 | 640,519 |
If you did it right, you will end up with this table:
1 | 11 | 58,229 | 640,519 |
-1 | -11 | -58,229 | -640,519 |
Here are some more numbers to try:
Try the factor calculator