Q: What are the factor combinations of the number 165,169?
A:
Positive:
1 x 165169331 x 499
Negative:
-1 x -165169-331 x -499
A:
Positive:
1 x 165169331 x 499
Negative:
-1 x -165169-331 x -499
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 165,169, 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 | 165,169 | |
-1 | -165,169 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 165,169.
Example:
1 x 165,169 = 165,169
and
-1 x -165,169 = 165,169
Notice both answers equal 165,169
With that explanation out of the way, let's continue. Next, we take the number 165,169 and divide it by 2:
165,169 ÷ 2 = 82,584.5
If the quotient is a whole number, then 2 and 82,584.5 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 | 165,169 | |
-1 | -165,169 |
Now, we try dividing 165,169 by 3:
165,169 ÷ 3 = 55,056.3333
If the quotient is a whole number, then 3 and 55,056.3333 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 | 165,169 | |
-1 | -165,169 |
Let's try dividing by 4:
165,169 ÷ 4 = 41,292.25
If the quotient is a whole number, then 4 and 41,292.25 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 | 165,169 | |
-1 | 165,169 |
If you did it right, you will end up with this table:
1 | 331 | 499 | 165,169 |
-1 | -331 | -499 | -165,169 |
Here are some more numbers to try:
Try the factor calculator