Q: What are the factor combinations of the number 497,381?
A:
Positive:
1 x 49738143 x 11567269 x 1849
Negative:
-1 x -497381-43 x -11567-269 x -1849
A:
Positive:
1 x 49738143 x 11567269 x 1849
Negative:
-1 x -497381-43 x -11567-269 x -1849
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 497,381, 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 | 497,381 | |
-1 | -497,381 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 497,381.
Example:
1 x 497,381 = 497,381
and
-1 x -497,381 = 497,381
Notice both answers equal 497,381
With that explanation out of the way, let's continue. Next, we take the number 497,381 and divide it by 2:
497,381 ÷ 2 = 248,690.5
If the quotient is a whole number, then 2 and 248,690.5 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 | 497,381 | |
-1 | -497,381 |
Now, we try dividing 497,381 by 3:
497,381 ÷ 3 = 165,793.6667
If the quotient is a whole number, then 3 and 165,793.6667 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 | 497,381 | |
-1 | -497,381 |
Let's try dividing by 4:
497,381 ÷ 4 = 124,345.25
If the quotient is a whole number, then 4 and 124,345.25 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 | 497,381 | |
-1 | 497,381 |
If you did it right, you will end up with this table:
1 | 43 | 269 | 1,849 | 11,567 | 497,381 |
-1 | -43 | -269 | -1,849 | -11,567 | -497,381 |
Here are some more numbers to try:
Try the factor calculator