Q: What are the factor combinations of the number 77,111?
A:
Positive:
1 x 7711129 x 2659
Negative:
-1 x -77111-29 x -2659
A:
Positive:
1 x 7711129 x 2659
Negative:
-1 x -77111-29 x -2659
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 77,111, 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 | 77,111 | |
-1 | -77,111 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 77,111.
Example:
1 x 77,111 = 77,111
and
-1 x -77,111 = 77,111
Notice both answers equal 77,111
With that explanation out of the way, let's continue. Next, we take the number 77,111 and divide it by 2:
77,111 ÷ 2 = 38,555.5
If the quotient is a whole number, then 2 and 38,555.5 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 | 77,111 | |
-1 | -77,111 |
Now, we try dividing 77,111 by 3:
77,111 ÷ 3 = 25,703.6667
If the quotient is a whole number, then 3 and 25,703.6667 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 | 77,111 | |
-1 | -77,111 |
Let's try dividing by 4:
77,111 ÷ 4 = 19,277.75
If the quotient is a whole number, then 4 and 19,277.75 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 | 77,111 | |
-1 | 77,111 |
If you did it right, you will end up with this table:
1 | 29 | 2,659 | 77,111 |
-1 | -29 | -2,659 | -77,111 |
Here are some more numbers to try:
Try the factor calculator