Q: What are the factor combinations of the number 437,717?
A:
Positive:
1 x 4377177 x 6253149 x 8933
Negative:
-1 x -437717-7 x -62531-49 x -8933
A:
Positive:
1 x 4377177 x 6253149 x 8933
Negative:
-1 x -437717-7 x -62531-49 x -8933
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 437,717, 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 | 437,717 | |
-1 | -437,717 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 437,717.
Example:
1 x 437,717 = 437,717
and
-1 x -437,717 = 437,717
Notice both answers equal 437,717
With that explanation out of the way, let's continue. Next, we take the number 437,717 and divide it by 2:
437,717 ÷ 2 = 218,858.5
If the quotient is a whole number, then 2 and 218,858.5 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 | 437,717 | |
-1 | -437,717 |
Now, we try dividing 437,717 by 3:
437,717 ÷ 3 = 145,905.6667
If the quotient is a whole number, then 3 and 145,905.6667 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 | 437,717 | |
-1 | -437,717 |
Let's try dividing by 4:
437,717 ÷ 4 = 109,429.25
If the quotient is a whole number, then 4 and 109,429.25 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 | 437,717 | |
-1 | 437,717 |
If you did it right, you will end up with this table:
1 | 7 | 49 | 8,933 | 62,531 | 437,717 |
-1 | -7 | -49 | -8,933 | -62,531 | -437,717 |
Here are some more numbers to try:
Try the factor calculator