Q: What are the factor combinations of the number 757,019?
A:
Positive:
1 x 757019
Negative:
-1 x -757019
A:
Positive:
1 x 757019
Negative:
-1 x -757019
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 757,019, 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 | 757,019 | |
-1 | -757,019 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 757,019.
Example:
1 x 757,019 = 757,019
and
-1 x -757,019 = 757,019
Notice both answers equal 757,019
With that explanation out of the way, let's continue. Next, we take the number 757,019 and divide it by 2:
757,019 ÷ 2 = 378,509.5
If the quotient is a whole number, then 2 and 378,509.5 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 | 757,019 | |
-1 | -757,019 |
Now, we try dividing 757,019 by 3:
757,019 ÷ 3 = 252,339.6667
If the quotient is a whole number, then 3 and 252,339.6667 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 | 757,019 | |
-1 | -757,019 |
Let's try dividing by 4:
757,019 ÷ 4 = 189,254.75
If the quotient is a whole number, then 4 and 189,254.75 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 | 757,019 | |
-1 | 757,019 |
If you did it right, you will end up with this table:
1 | 757,019 |
-1 | -757,019 |
Here are some more numbers to try:
Try the factor calculator