Q: What are the factor combinations of the number 76,349?
A:
Positive:
1 x 763497 x 1090713 x 587391 x 839
Negative:
-1 x -76349-7 x -10907-13 x -5873-91 x -839
A:
Positive:
1 x 763497 x 1090713 x 587391 x 839
Negative:
-1 x -76349-7 x -10907-13 x -5873-91 x -839
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 76,349, 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 | 76,349 | |
-1 | -76,349 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 76,349.
Example:
1 x 76,349 = 76,349
and
-1 x -76,349 = 76,349
Notice both answers equal 76,349
With that explanation out of the way, let's continue. Next, we take the number 76,349 and divide it by 2:
76,349 ÷ 2 = 38,174.5
If the quotient is a whole number, then 2 and 38,174.5 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 | 76,349 | |
-1 | -76,349 |
Now, we try dividing 76,349 by 3:
76,349 ÷ 3 = 25,449.6667
If the quotient is a whole number, then 3 and 25,449.6667 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 | 76,349 | |
-1 | -76,349 |
Let's try dividing by 4:
76,349 ÷ 4 = 19,087.25
If the quotient is a whole number, then 4 and 19,087.25 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 | 76,349 | |
-1 | 76,349 |
If you did it right, you will end up with this table:
1 | 7 | 13 | 91 | 839 | 5,873 | 10,907 | 76,349 |
-1 | -7 | -13 | -91 | -839 | -5,873 | -10,907 | -76,349 |
Here are some more numbers to try:
Try the factor calculator