Q: What are the factor combinations of the number 355,175?
A:
Positive:
1 x 3551755 x 7103525 x 14207
Negative:
-1 x -355175-5 x -71035-25 x -14207
A:
Positive:
1 x 3551755 x 7103525 x 14207
Negative:
-1 x -355175-5 x -71035-25 x -14207
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 355,175, 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 | 355,175 | |
-1 | -355,175 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 355,175.
Example:
1 x 355,175 = 355,175
and
-1 x -355,175 = 355,175
Notice both answers equal 355,175
With that explanation out of the way, let's continue. Next, we take the number 355,175 and divide it by 2:
355,175 ÷ 2 = 177,587.5
If the quotient is a whole number, then 2 and 177,587.5 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 | 355,175 | |
-1 | -355,175 |
Now, we try dividing 355,175 by 3:
355,175 ÷ 3 = 118,391.6667
If the quotient is a whole number, then 3 and 118,391.6667 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 | 355,175 | |
-1 | -355,175 |
Let's try dividing by 4:
355,175 ÷ 4 = 88,793.75
If the quotient is a whole number, then 4 and 88,793.75 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 | 355,175 | |
-1 | 355,175 |
If you did it right, you will end up with this table:
1 | 5 | 25 | 14,207 | 71,035 | 355,175 |
-1 | -5 | -25 | -14,207 | -71,035 | -355,175 |
Here are some more numbers to try:
Try the factor calculator