Q: What are the factor combinations of the number 167,927?
A:
Positive:
1 x 16792731 x 5417
Negative:
-1 x -167927-31 x -5417
A:
Positive:
1 x 16792731 x 5417
Negative:
-1 x -167927-31 x -5417
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 167,927, 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 | 167,927 | |
-1 | -167,927 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 167,927.
Example:
1 x 167,927 = 167,927
and
-1 x -167,927 = 167,927
Notice both answers equal 167,927
With that explanation out of the way, let's continue. Next, we take the number 167,927 and divide it by 2:
167,927 ÷ 2 = 83,963.5
If the quotient is a whole number, then 2 and 83,963.5 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 | 167,927 | |
-1 | -167,927 |
Now, we try dividing 167,927 by 3:
167,927 ÷ 3 = 55,975.6667
If the quotient is a whole number, then 3 and 55,975.6667 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 | 167,927 | |
-1 | -167,927 |
Let's try dividing by 4:
167,927 ÷ 4 = 41,981.75
If the quotient is a whole number, then 4 and 41,981.75 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 | 167,927 | |
-1 | 167,927 |
If you did it right, you will end up with this table:
1 | 31 | 5,417 | 167,927 |
-1 | -31 | -5,417 | -167,927 |
Here are some more numbers to try:
Try the factor calculator