Q: What are the factor combinations of the number 79,807?
A:
Positive:
1 x 798077 x 1140113 x 613991 x 877
Negative:
-1 x -79807-7 x -11401-13 x -6139-91 x -877
A:
Positive:
1 x 798077 x 1140113 x 613991 x 877
Negative:
-1 x -79807-7 x -11401-13 x -6139-91 x -877
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 79,807, 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 | 79,807 | |
-1 | -79,807 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 79,807.
Example:
1 x 79,807 = 79,807
and
-1 x -79,807 = 79,807
Notice both answers equal 79,807
With that explanation out of the way, let's continue. Next, we take the number 79,807 and divide it by 2:
79,807 ÷ 2 = 39,903.5
If the quotient is a whole number, then 2 and 39,903.5 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 | 79,807 | |
-1 | -79,807 |
Now, we try dividing 79,807 by 3:
79,807 ÷ 3 = 26,602.3333
If the quotient is a whole number, then 3 and 26,602.3333 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 | 79,807 | |
-1 | -79,807 |
Let's try dividing by 4:
79,807 ÷ 4 = 19,951.75
If the quotient is a whole number, then 4 and 19,951.75 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 | 79,807 | |
-1 | 79,807 |
If you did it right, you will end up with this table:
1 | 7 | 13 | 91 | 877 | 6,139 | 11,401 | 79,807 |
-1 | -7 | -13 | -91 | -877 | -6,139 | -11,401 | -79,807 |
Here are some more numbers to try:
Try the factor calculator