Q: What are the factor combinations of the number 76,627?
A:
Positive:
1 x 7662719 x 403337 x 2071109 x 703
Negative:
-1 x -76627-19 x -4033-37 x -2071-109 x -703
A:
Positive:
1 x 7662719 x 403337 x 2071109 x 703
Negative:
-1 x -76627-19 x -4033-37 x -2071-109 x -703
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 76,627, 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 | 76,627 | |
-1 | -76,627 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 76,627.
Example:
1 x 76,627 = 76,627
and
-1 x -76,627 = 76,627
Notice both answers equal 76,627
With that explanation out of the way, let's continue. Next, we take the number 76,627 and divide it by 2:
76,627 ÷ 2 = 38,313.5
If the quotient is a whole number, then 2 and 38,313.5 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 | 76,627 | |
-1 | -76,627 |
Now, we try dividing 76,627 by 3:
76,627 ÷ 3 = 25,542.3333
If the quotient is a whole number, then 3 and 25,542.3333 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 | 76,627 | |
-1 | -76,627 |
Let's try dividing by 4:
76,627 ÷ 4 = 19,156.75
If the quotient is a whole number, then 4 and 19,156.75 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 | 76,627 | |
-1 | 76,627 |
If you did it right, you will end up with this table:
1 | 19 | 37 | 109 | 703 | 2,071 | 4,033 | 76,627 |
-1 | -19 | -37 | -109 | -703 | -2,071 | -4,033 | -76,627 |
Here are some more numbers to try:
Try the factor calculator