Q: What are the factor combinations of the number 964,909?
A:
Positive:
1 x 96490911 x 87719
Negative:
-1 x -964909-11 x -87719
A:
Positive:
1 x 96490911 x 87719
Negative:
-1 x -964909-11 x -87719
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 964,909, 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 | 964,909 | |
-1 | -964,909 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 964,909.
Example:
1 x 964,909 = 964,909
and
-1 x -964,909 = 964,909
Notice both answers equal 964,909
With that explanation out of the way, let's continue. Next, we take the number 964,909 and divide it by 2:
964,909 ÷ 2 = 482,454.5
If the quotient is a whole number, then 2 and 482,454.5 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 | 964,909 | |
-1 | -964,909 |
Now, we try dividing 964,909 by 3:
964,909 ÷ 3 = 321,636.3333
If the quotient is a whole number, then 3 and 321,636.3333 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 | 964,909 | |
-1 | -964,909 |
Let's try dividing by 4:
964,909 ÷ 4 = 241,227.25
If the quotient is a whole number, then 4 and 241,227.25 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 | 964,909 | |
-1 | 964,909 |
If you did it right, you will end up with this table:
1 | 11 | 87,719 | 964,909 |
-1 | -11 | -87,719 | -964,909 |
Here are some more numbers to try:
Try the factor calculator