Q: What are the factor combinations of the number 169,033?
A:
Positive:
1 x 16903343 x 3931
Negative:
-1 x -169033-43 x -3931
A:
Positive:
1 x 16903343 x 3931
Negative:
-1 x -169033-43 x -3931
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 169,033, 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 | 169,033 | |
-1 | -169,033 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 169,033.
Example:
1 x 169,033 = 169,033
and
-1 x -169,033 = 169,033
Notice both answers equal 169,033
With that explanation out of the way, let's continue. Next, we take the number 169,033 and divide it by 2:
169,033 ÷ 2 = 84,516.5
If the quotient is a whole number, then 2 and 84,516.5 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 | 169,033 | |
-1 | -169,033 |
Now, we try dividing 169,033 by 3:
169,033 ÷ 3 = 56,344.3333
If the quotient is a whole number, then 3 and 56,344.3333 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 | 169,033 | |
-1 | -169,033 |
Let's try dividing by 4:
169,033 ÷ 4 = 42,258.25
If the quotient is a whole number, then 4 and 42,258.25 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 | 169,033 | |
-1 | 169,033 |
If you did it right, you will end up with this table:
1 | 43 | 3,931 | 169,033 |
-1 | -43 | -3,931 | -169,033 |
Here are some more numbers to try:
Try the factor calculator