Q: What are the factor combinations of the number 467,027?
A:
Positive:
1 x 46702711 x 42457
Negative:
-1 x -467027-11 x -42457
A:
Positive:
1 x 46702711 x 42457
Negative:
-1 x -467027-11 x -42457
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 467,027, 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 | 467,027 | |
-1 | -467,027 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 467,027.
Example:
1 x 467,027 = 467,027
and
-1 x -467,027 = 467,027
Notice both answers equal 467,027
With that explanation out of the way, let's continue. Next, we take the number 467,027 and divide it by 2:
467,027 ÷ 2 = 233,513.5
If the quotient is a whole number, then 2 and 233,513.5 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 | 467,027 | |
-1 | -467,027 |
Now, we try dividing 467,027 by 3:
467,027 ÷ 3 = 155,675.6667
If the quotient is a whole number, then 3 and 155,675.6667 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 | 467,027 | |
-1 | -467,027 |
Let's try dividing by 4:
467,027 ÷ 4 = 116,756.75
If the quotient is a whole number, then 4 and 116,756.75 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 | 467,027 | |
-1 | 467,027 |
If you did it right, you will end up with this table:
1 | 11 | 42,457 | 467,027 |
-1 | -11 | -42,457 | -467,027 |
Here are some more numbers to try:
Try the factor calculator