Q: What are the factor combinations of the number 621,025?
A:
Positive:
1 x 6210255 x 12420525 x 24841
Negative:
-1 x -621025-5 x -124205-25 x -24841
A:
Positive:
1 x 6210255 x 12420525 x 24841
Negative:
-1 x -621025-5 x -124205-25 x -24841
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 621,025, 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 | 621,025 | |
-1 | -621,025 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 621,025.
Example:
1 x 621,025 = 621,025
and
-1 x -621,025 = 621,025
Notice both answers equal 621,025
With that explanation out of the way, let's continue. Next, we take the number 621,025 and divide it by 2:
621,025 ÷ 2 = 310,512.5
If the quotient is a whole number, then 2 and 310,512.5 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 | 621,025 | |
-1 | -621,025 |
Now, we try dividing 621,025 by 3:
621,025 ÷ 3 = 207,008.3333
If the quotient is a whole number, then 3 and 207,008.3333 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 | 621,025 | |
-1 | -621,025 |
Let's try dividing by 4:
621,025 ÷ 4 = 155,256.25
If the quotient is a whole number, then 4 and 155,256.25 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 | 621,025 | |
-1 | 621,025 |
If you did it right, you will end up with this table:
1 | 5 | 25 | 24,841 | 124,205 | 621,025 |
-1 | -5 | -25 | -24,841 | -124,205 | -621,025 |
Here are some more numbers to try:
Try the factor calculator