Q: What are the factor combinations of the number 423,425?
A:
Positive:
1 x 4234255 x 8468525 x 16937
Negative:
-1 x -423425-5 x -84685-25 x -16937
A:
Positive:
1 x 4234255 x 8468525 x 16937
Negative:
-1 x -423425-5 x -84685-25 x -16937
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 423,425, 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 | 423,425 | |
-1 | -423,425 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 423,425.
Example:
1 x 423,425 = 423,425
and
-1 x -423,425 = 423,425
Notice both answers equal 423,425
With that explanation out of the way, let's continue. Next, we take the number 423,425 and divide it by 2:
423,425 ÷ 2 = 211,712.5
If the quotient is a whole number, then 2 and 211,712.5 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 | 423,425 | |
-1 | -423,425 |
Now, we try dividing 423,425 by 3:
423,425 ÷ 3 = 141,141.6667
If the quotient is a whole number, then 3 and 141,141.6667 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 | 423,425 | |
-1 | -423,425 |
Let's try dividing by 4:
423,425 ÷ 4 = 105,856.25
If the quotient is a whole number, then 4 and 105,856.25 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 | 423,425 | |
-1 | 423,425 |
If you did it right, you will end up with this table:
1 | 5 | 25 | 16,937 | 84,685 | 423,425 |
-1 | -5 | -25 | -16,937 | -84,685 | -423,425 |
Here are some more numbers to try:
Try the factor calculator