Q: What are the factor combinations of the number 77,717?
A:
Positive:
1 x 7771723 x 337931 x 2507109 x 713
Negative:
-1 x -77717-23 x -3379-31 x -2507-109 x -713
A:
Positive:
1 x 7771723 x 337931 x 2507109 x 713
Negative:
-1 x -77717-23 x -3379-31 x -2507-109 x -713
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 77,717, 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 | 77,717 | |
-1 | -77,717 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 77,717.
Example:
1 x 77,717 = 77,717
and
-1 x -77,717 = 77,717
Notice both answers equal 77,717
With that explanation out of the way, let's continue. Next, we take the number 77,717 and divide it by 2:
77,717 ÷ 2 = 38,858.5
If the quotient is a whole number, then 2 and 38,858.5 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 | 77,717 | |
-1 | -77,717 |
Now, we try dividing 77,717 by 3:
77,717 ÷ 3 = 25,905.6667
If the quotient is a whole number, then 3 and 25,905.6667 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 | 77,717 | |
-1 | -77,717 |
Let's try dividing by 4:
77,717 ÷ 4 = 19,429.25
If the quotient is a whole number, then 4 and 19,429.25 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 | 77,717 | |
-1 | 77,717 |
If you did it right, you will end up with this table:
1 | 23 | 31 | 109 | 713 | 2,507 | 3,379 | 77,717 |
-1 | -23 | -31 | -109 | -713 | -2,507 | -3,379 | -77,717 |
Here are some more numbers to try:
Try the factor calculator