Q: What are the factor combinations of the number 571,357?
A:
Positive:
1 x 571357101 x 5657
Negative:
-1 x -571357-101 x -5657
A:
Positive:
1 x 571357101 x 5657
Negative:
-1 x -571357-101 x -5657
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 571,357, 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 | 571,357 | |
-1 | -571,357 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 571,357.
Example:
1 x 571,357 = 571,357
and
-1 x -571,357 = 571,357
Notice both answers equal 571,357
With that explanation out of the way, let's continue. Next, we take the number 571,357 and divide it by 2:
571,357 ÷ 2 = 285,678.5
If the quotient is a whole number, then 2 and 285,678.5 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 | 571,357 | |
-1 | -571,357 |
Now, we try dividing 571,357 by 3:
571,357 ÷ 3 = 190,452.3333
If the quotient is a whole number, then 3 and 190,452.3333 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 | 571,357 | |
-1 | -571,357 |
Let's try dividing by 4:
571,357 ÷ 4 = 142,839.25
If the quotient is a whole number, then 4 and 142,839.25 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 | 571,357 | |
-1 | 571,357 |
If you did it right, you will end up with this table:
1 | 101 | 5,657 | 571,357 |
-1 | -101 | -5,657 | -571,357 |
Here are some more numbers to try:
Try the factor calculator