Q: What are the factor combinations of the number 633,025?
A:
Positive:
1 x 6330255 x 12660525 x 25321
Negative:
-1 x -633025-5 x -126605-25 x -25321
A:
Positive:
1 x 6330255 x 12660525 x 25321
Negative:
-1 x -633025-5 x -126605-25 x -25321
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 633,025, 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 | 633,025 | |
-1 | -633,025 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 633,025.
Example:
1 x 633,025 = 633,025
and
-1 x -633,025 = 633,025
Notice both answers equal 633,025
With that explanation out of the way, let's continue. Next, we take the number 633,025 and divide it by 2:
633,025 ÷ 2 = 316,512.5
If the quotient is a whole number, then 2 and 316,512.5 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 | 633,025 | |
-1 | -633,025 |
Now, we try dividing 633,025 by 3:
633,025 ÷ 3 = 211,008.3333
If the quotient is a whole number, then 3 and 211,008.3333 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 | 633,025 | |
-1 | -633,025 |
Let's try dividing by 4:
633,025 ÷ 4 = 158,256.25
If the quotient is a whole number, then 4 and 158,256.25 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 | 633,025 | |
-1 | 633,025 |
If you did it right, you will end up with this table:
1 | 5 | 25 | 25,321 | 126,605 | 633,025 |
-1 | -5 | -25 | -25,321 | -126,605 | -633,025 |
Here are some more numbers to try:
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