Q: What are the factor combinations of the number 578,315?
A:
Positive:
1 x 5783155 x 115663
Negative:
-1 x -578315-5 x -115663
A:
Positive:
1 x 5783155 x 115663
Negative:
-1 x -578315-5 x -115663
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 578,315, 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 | 578,315 | |
-1 | -578,315 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 578,315.
Example:
1 x 578,315 = 578,315
and
-1 x -578,315 = 578,315
Notice both answers equal 578,315
With that explanation out of the way, let's continue. Next, we take the number 578,315 and divide it by 2:
578,315 ÷ 2 = 289,157.5
If the quotient is a whole number, then 2 and 289,157.5 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 | 578,315 | |
-1 | -578,315 |
Now, we try dividing 578,315 by 3:
578,315 ÷ 3 = 192,771.6667
If the quotient is a whole number, then 3 and 192,771.6667 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 | 578,315 | |
-1 | -578,315 |
Let's try dividing by 4:
578,315 ÷ 4 = 144,578.75
If the quotient is a whole number, then 4 and 144,578.75 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 | 578,315 | |
-1 | 578,315 |
If you did it right, you will end up with this table:
1 | 5 | 115,663 | 578,315 |
-1 | -5 | -115,663 | -578,315 |
Here are some more numbers to try:
Try the factor calculator