Q: What are the factor combinations of the number 431,347?
A:
Positive:
1 x 4313477 x 6162149 x 8803
Negative:
-1 x -431347-7 x -61621-49 x -8803
A:
Positive:
1 x 4313477 x 6162149 x 8803
Negative:
-1 x -431347-7 x -61621-49 x -8803
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 431,347, 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 | 431,347 | |
-1 | -431,347 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 431,347.
Example:
1 x 431,347 = 431,347
and
-1 x -431,347 = 431,347
Notice both answers equal 431,347
With that explanation out of the way, let's continue. Next, we take the number 431,347 and divide it by 2:
431,347 ÷ 2 = 215,673.5
If the quotient is a whole number, then 2 and 215,673.5 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 | 431,347 | |
-1 | -431,347 |
Now, we try dividing 431,347 by 3:
431,347 ÷ 3 = 143,782.3333
If the quotient is a whole number, then 3 and 143,782.3333 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 | 431,347 | |
-1 | -431,347 |
Let's try dividing by 4:
431,347 ÷ 4 = 107,836.75
If the quotient is a whole number, then 4 and 107,836.75 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 | 431,347 | |
-1 | 431,347 |
If you did it right, you will end up with this table:
1 | 7 | 49 | 8,803 | 61,621 | 431,347 |
-1 | -7 | -49 | -8,803 | -61,621 | -431,347 |
Here are some more numbers to try:
Try the factor calculator