Q: What are the factor combinations of the number 67,415?
A:
Positive:
1 x 674155 x 1348397 x 695139 x 485
Negative:
-1 x -67415-5 x -13483-97 x -695-139 x -485
A:
Positive:
1 x 674155 x 1348397 x 695139 x 485
Negative:
-1 x -67415-5 x -13483-97 x -695-139 x -485
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 67,415, 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 | 67,415 | |
-1 | -67,415 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 67,415.
Example:
1 x 67,415 = 67,415
and
-1 x -67,415 = 67,415
Notice both answers equal 67,415
With that explanation out of the way, let's continue. Next, we take the number 67,415 and divide it by 2:
67,415 ÷ 2 = 33,707.5
If the quotient is a whole number, then 2 and 33,707.5 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 | 67,415 | |
-1 | -67,415 |
Now, we try dividing 67,415 by 3:
67,415 ÷ 3 = 22,471.6667
If the quotient is a whole number, then 3 and 22,471.6667 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 | 67,415 | |
-1 | -67,415 |
Let's try dividing by 4:
67,415 ÷ 4 = 16,853.75
If the quotient is a whole number, then 4 and 16,853.75 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 | 67,415 | |
-1 | 67,415 |
If you did it right, you will end up with this table:
1 | 5 | 97 | 139 | 485 | 695 | 13,483 | 67,415 |
-1 | -5 | -97 | -139 | -485 | -695 | -13,483 | -67,415 |
Here are some more numbers to try:
Try the factor calculator