Q: What are the factor combinations of the number 490,343?
A:
Positive:
1 x 4903437 x 7004949 x 10007
Negative:
-1 x -490343-7 x -70049-49 x -10007
A:
Positive:
1 x 4903437 x 7004949 x 10007
Negative:
-1 x -490343-7 x -70049-49 x -10007
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 490,343, 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 | 490,343 | |
-1 | -490,343 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 490,343.
Example:
1 x 490,343 = 490,343
and
-1 x -490,343 = 490,343
Notice both answers equal 490,343
With that explanation out of the way, let's continue. Next, we take the number 490,343 and divide it by 2:
490,343 ÷ 2 = 245,171.5
If the quotient is a whole number, then 2 and 245,171.5 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 | 490,343 | |
-1 | -490,343 |
Now, we try dividing 490,343 by 3:
490,343 ÷ 3 = 163,447.6667
If the quotient is a whole number, then 3 and 163,447.6667 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 | 490,343 | |
-1 | -490,343 |
Let's try dividing by 4:
490,343 ÷ 4 = 122,585.75
If the quotient is a whole number, then 4 and 122,585.75 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 | 490,343 | |
-1 | 490,343 |
If you did it right, you will end up with this table:
1 | 7 | 49 | 10,007 | 70,049 | 490,343 |
-1 | -7 | -49 | -10,007 | -70,049 | -490,343 |
Here are some more numbers to try:
Try the factor calculator