Q: What are the factor combinations of the number 76,867?
A:
Positive:
1 x 768677 x 1098179 x 973139 x 553
Negative:
-1 x -76867-7 x -10981-79 x -973-139 x -553
A:
Positive:
1 x 768677 x 1098179 x 973139 x 553
Negative:
-1 x -76867-7 x -10981-79 x -973-139 x -553
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 76,867, 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 | 76,867 | |
-1 | -76,867 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 76,867.
Example:
1 x 76,867 = 76,867
and
-1 x -76,867 = 76,867
Notice both answers equal 76,867
With that explanation out of the way, let's continue. Next, we take the number 76,867 and divide it by 2:
76,867 ÷ 2 = 38,433.5
If the quotient is a whole number, then 2 and 38,433.5 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 | 76,867 | |
-1 | -76,867 |
Now, we try dividing 76,867 by 3:
76,867 ÷ 3 = 25,622.3333
If the quotient is a whole number, then 3 and 25,622.3333 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 | 76,867 | |
-1 | -76,867 |
Let's try dividing by 4:
76,867 ÷ 4 = 19,216.75
If the quotient is a whole number, then 4 and 19,216.75 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 | 76,867 | |
-1 | 76,867 |
If you did it right, you will end up with this table:
1 | 7 | 79 | 139 | 553 | 973 | 10,981 | 76,867 |
-1 | -7 | -79 | -139 | -553 | -973 | -10,981 | -76,867 |
Here are some more numbers to try:
Try the factor calculator