Q: What are the factor combinations of the number 76,105?
A:
Positive:
1 x 761055 x 1522131 x 2455155 x 491
Negative:
-1 x -76105-5 x -15221-31 x -2455-155 x -491
A:
Positive:
1 x 761055 x 1522131 x 2455155 x 491
Negative:
-1 x -76105-5 x -15221-31 x -2455-155 x -491
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 76,105, 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 | 76,105 | |
-1 | -76,105 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 76,105.
Example:
1 x 76,105 = 76,105
and
-1 x -76,105 = 76,105
Notice both answers equal 76,105
With that explanation out of the way, let's continue. Next, we take the number 76,105 and divide it by 2:
76,105 ÷ 2 = 38,052.5
If the quotient is a whole number, then 2 and 38,052.5 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 | 76,105 | |
-1 | -76,105 |
Now, we try dividing 76,105 by 3:
76,105 ÷ 3 = 25,368.3333
If the quotient is a whole number, then 3 and 25,368.3333 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 | 76,105 | |
-1 | -76,105 |
Let's try dividing by 4:
76,105 ÷ 4 = 19,026.25
If the quotient is a whole number, then 4 and 19,026.25 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 | 76,105 | |
-1 | 76,105 |
If you did it right, you will end up with this table:
1 | 5 | 31 | 155 | 491 | 2,455 | 15,221 | 76,105 |
-1 | -5 | -31 | -155 | -491 | -2,455 | -15,221 | -76,105 |
Here are some more numbers to try:
Try the factor calculator