Q: What are the factor combinations of the number 519,719?
A:
Positive:
1 x 51971967 x 7757
Negative:
-1 x -519719-67 x -7757
A:
Positive:
1 x 51971967 x 7757
Negative:
-1 x -519719-67 x -7757
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 519,719, 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 | 519,719 | |
-1 | -519,719 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 519,719.
Example:
1 x 519,719 = 519,719
and
-1 x -519,719 = 519,719
Notice both answers equal 519,719
With that explanation out of the way, let's continue. Next, we take the number 519,719 and divide it by 2:
519,719 ÷ 2 = 259,859.5
If the quotient is a whole number, then 2 and 259,859.5 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 | 519,719 | |
-1 | -519,719 |
Now, we try dividing 519,719 by 3:
519,719 ÷ 3 = 173,239.6667
If the quotient is a whole number, then 3 and 173,239.6667 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 | 519,719 | |
-1 | -519,719 |
Let's try dividing by 4:
519,719 ÷ 4 = 129,929.75
If the quotient is a whole number, then 4 and 129,929.75 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 | 519,719 | |
-1 | 519,719 |
If you did it right, you will end up with this table:
1 | 67 | 7,757 | 519,719 |
-1 | -67 | -7,757 | -519,719 |
Here are some more numbers to try:
Try the factor calculator