Q: What are the factor combinations of the number 970,099?
A:
Positive:
1 x 97009913 x 74623
Negative:
-1 x -970099-13 x -74623
A:
Positive:
1 x 97009913 x 74623
Negative:
-1 x -970099-13 x -74623
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 970,099, 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 | 970,099 | |
-1 | -970,099 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 970,099.
Example:
1 x 970,099 = 970,099
and
-1 x -970,099 = 970,099
Notice both answers equal 970,099
With that explanation out of the way, let's continue. Next, we take the number 970,099 and divide it by 2:
970,099 ÷ 2 = 485,049.5
If the quotient is a whole number, then 2 and 485,049.5 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 | 970,099 | |
-1 | -970,099 |
Now, we try dividing 970,099 by 3:
970,099 ÷ 3 = 323,366.3333
If the quotient is a whole number, then 3 and 323,366.3333 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 | 970,099 | |
-1 | -970,099 |
Let's try dividing by 4:
970,099 ÷ 4 = 242,524.75
If the quotient is a whole number, then 4 and 242,524.75 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 | 970,099 | |
-1 | 970,099 |
If you did it right, you will end up with this table:
1 | 13 | 74,623 | 970,099 |
-1 | -13 | -74,623 | -970,099 |
Here are some more numbers to try:
Try the factor calculator