Q: What are the factor combinations of the number 994,597?
A:
Positive:
1 x 99459737 x 26881
Negative:
-1 x -994597-37 x -26881
A:
Positive:
1 x 99459737 x 26881
Negative:
-1 x -994597-37 x -26881
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 994,597, 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 | 994,597 | |
-1 | -994,597 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 994,597.
Example:
1 x 994,597 = 994,597
and
-1 x -994,597 = 994,597
Notice both answers equal 994,597
With that explanation out of the way, let's continue. Next, we take the number 994,597 and divide it by 2:
994,597 ÷ 2 = 497,298.5
If the quotient is a whole number, then 2 and 497,298.5 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 | 994,597 | |
-1 | -994,597 |
Now, we try dividing 994,597 by 3:
994,597 ÷ 3 = 331,532.3333
If the quotient is a whole number, then 3 and 331,532.3333 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 | 994,597 | |
-1 | -994,597 |
Let's try dividing by 4:
994,597 ÷ 4 = 248,649.25
If the quotient is a whole number, then 4 and 248,649.25 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 | 994,597 | |
-1 | 994,597 |
If you did it right, you will end up with this table:
1 | 37 | 26,881 | 994,597 |
-1 | -37 | -26,881 | -994,597 |
Here are some more numbers to try:
Try the factor calculator