Q: What are the factor combinations of the number 355,709?
A:
Positive:
1 x 355709227 x 1567
Negative:
-1 x -355709-227 x -1567
A:
Positive:
1 x 355709227 x 1567
Negative:
-1 x -355709-227 x -1567
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 355,709, 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 | 355,709 | |
-1 | -355,709 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 355,709.
Example:
1 x 355,709 = 355,709
and
-1 x -355,709 = 355,709
Notice both answers equal 355,709
With that explanation out of the way, let's continue. Next, we take the number 355,709 and divide it by 2:
355,709 ÷ 2 = 177,854.5
If the quotient is a whole number, then 2 and 177,854.5 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 | 355,709 | |
-1 | -355,709 |
Now, we try dividing 355,709 by 3:
355,709 ÷ 3 = 118,569.6667
If the quotient is a whole number, then 3 and 118,569.6667 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 | 355,709 | |
-1 | -355,709 |
Let's try dividing by 4:
355,709 ÷ 4 = 88,927.25
If the quotient is a whole number, then 4 and 88,927.25 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 | 355,709 | |
-1 | 355,709 |
If you did it right, you will end up with this table:
1 | 227 | 1,567 | 355,709 |
-1 | -227 | -1,567 | -355,709 |
Here are some more numbers to try:
Try the factor calculator