Q: What are the factor combinations of the number 76,013?
A:
Positive:
1 x 760137 x 10859
Negative:
-1 x -76013-7 x -10859
A:
Positive:
1 x 760137 x 10859
Negative:
-1 x -76013-7 x -10859
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 76,013, 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 | 76,013 | |
-1 | -76,013 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 76,013.
Example:
1 x 76,013 = 76,013
and
-1 x -76,013 = 76,013
Notice both answers equal 76,013
With that explanation out of the way, let's continue. Next, we take the number 76,013 and divide it by 2:
76,013 ÷ 2 = 38,006.5
If the quotient is a whole number, then 2 and 38,006.5 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 | 76,013 | |
-1 | -76,013 |
Now, we try dividing 76,013 by 3:
76,013 ÷ 3 = 25,337.6667
If the quotient is a whole number, then 3 and 25,337.6667 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 | 76,013 | |
-1 | -76,013 |
Let's try dividing by 4:
76,013 ÷ 4 = 19,003.25
If the quotient is a whole number, then 4 and 19,003.25 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 | 76,013 | |
-1 | 76,013 |
If you did it right, you will end up with this table:
1 | 7 | 10,859 | 76,013 |
-1 | -7 | -10,859 | -76,013 |
Here are some more numbers to try:
Try the factor calculator