Q: What are the factor combinations of the number 477,907?
A:
Positive:
1 x 47790719 x 25153
Negative:
-1 x -477907-19 x -25153
A:
Positive:
1 x 47790719 x 25153
Negative:
-1 x -477907-19 x -25153
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 477,907, 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 | 477,907 | |
-1 | -477,907 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 477,907.
Example:
1 x 477,907 = 477,907
and
-1 x -477,907 = 477,907
Notice both answers equal 477,907
With that explanation out of the way, let's continue. Next, we take the number 477,907 and divide it by 2:
477,907 ÷ 2 = 238,953.5
If the quotient is a whole number, then 2 and 238,953.5 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 | 477,907 | |
-1 | -477,907 |
Now, we try dividing 477,907 by 3:
477,907 ÷ 3 = 159,302.3333
If the quotient is a whole number, then 3 and 159,302.3333 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 | 477,907 | |
-1 | -477,907 |
Let's try dividing by 4:
477,907 ÷ 4 = 119,476.75
If the quotient is a whole number, then 4 and 119,476.75 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 | 477,907 | |
-1 | 477,907 |
If you did it right, you will end up with this table:
1 | 19 | 25,153 | 477,907 |
-1 | -19 | -25,153 | -477,907 |
Here are some more numbers to try:
Try the factor calculator