Q: What are the factor combinations of the number 437,225?
A:
Positive:
1 x 4372255 x 8744525 x 17489
Negative:
-1 x -437225-5 x -87445-25 x -17489
A:
Positive:
1 x 4372255 x 8744525 x 17489
Negative:
-1 x -437225-5 x -87445-25 x -17489
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 437,225, 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 | 437,225 | |
-1 | -437,225 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 437,225.
Example:
1 x 437,225 = 437,225
and
-1 x -437,225 = 437,225
Notice both answers equal 437,225
With that explanation out of the way, let's continue. Next, we take the number 437,225 and divide it by 2:
437,225 ÷ 2 = 218,612.5
If the quotient is a whole number, then 2 and 218,612.5 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 | 437,225 | |
-1 | -437,225 |
Now, we try dividing 437,225 by 3:
437,225 ÷ 3 = 145,741.6667
If the quotient is a whole number, then 3 and 145,741.6667 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 | 437,225 | |
-1 | -437,225 |
Let's try dividing by 4:
437,225 ÷ 4 = 109,306.25
If the quotient is a whole number, then 4 and 109,306.25 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 | 437,225 | |
-1 | 437,225 |
If you did it right, you will end up with this table:
1 | 5 | 25 | 17,489 | 87,445 | 437,225 |
-1 | -5 | -25 | -17,489 | -87,445 | -437,225 |
Here are some more numbers to try:
Try the factor calculator