Q: What are the factor combinations of the number 76,307?
A:
Positive:
1 x 763077 x 1090111 x 693777 x 991
Negative:
-1 x -76307-7 x -10901-11 x -6937-77 x -991
A:
Positive:
1 x 763077 x 1090111 x 693777 x 991
Negative:
-1 x -76307-7 x -10901-11 x -6937-77 x -991
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 76,307, 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 | 76,307 | |
-1 | -76,307 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 76,307.
Example:
1 x 76,307 = 76,307
and
-1 x -76,307 = 76,307
Notice both answers equal 76,307
With that explanation out of the way, let's continue. Next, we take the number 76,307 and divide it by 2:
76,307 ÷ 2 = 38,153.5
If the quotient is a whole number, then 2 and 38,153.5 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 | 76,307 | |
-1 | -76,307 |
Now, we try dividing 76,307 by 3:
76,307 ÷ 3 = 25,435.6667
If the quotient is a whole number, then 3 and 25,435.6667 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 | 76,307 | |
-1 | -76,307 |
Let's try dividing by 4:
76,307 ÷ 4 = 19,076.75
If the quotient is a whole number, then 4 and 19,076.75 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 | 76,307 | |
-1 | 76,307 |
If you did it right, you will end up with this table:
1 | 7 | 11 | 77 | 991 | 6,937 | 10,901 | 76,307 |
-1 | -7 | -11 | -77 | -991 | -6,937 | -10,901 | -76,307 |
Here are some more numbers to try:
Try the factor calculator