Q: What are the factor combinations of the number 67,145?
A:
Positive:
1 x 671455 x 1342913 x 516565 x 1033
Negative:
-1 x -67145-5 x -13429-13 x -5165-65 x -1033
A:
Positive:
1 x 671455 x 1342913 x 516565 x 1033
Negative:
-1 x -67145-5 x -13429-13 x -5165-65 x -1033
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 67,145, 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 | 67,145 | |
-1 | -67,145 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 67,145.
Example:
1 x 67,145 = 67,145
and
-1 x -67,145 = 67,145
Notice both answers equal 67,145
With that explanation out of the way, let's continue. Next, we take the number 67,145 and divide it by 2:
67,145 ÷ 2 = 33,572.5
If the quotient is a whole number, then 2 and 33,572.5 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 | 67,145 | |
-1 | -67,145 |
Now, we try dividing 67,145 by 3:
67,145 ÷ 3 = 22,381.6667
If the quotient is a whole number, then 3 and 22,381.6667 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 | 67,145 | |
-1 | -67,145 |
Let's try dividing by 4:
67,145 ÷ 4 = 16,786.25
If the quotient is a whole number, then 4 and 16,786.25 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 | 67,145 | |
-1 | 67,145 |
If you did it right, you will end up with this table:
1 | 5 | 13 | 65 | 1,033 | 5,165 | 13,429 | 67,145 |
-1 | -5 | -13 | -65 | -1,033 | -5,165 | -13,429 | -67,145 |
Here are some more numbers to try:
Try the factor calculator