Q: What are the factor combinations of the number 454,981?
A:
Positive:
1 x 45498129 x 15689541 x 841
Negative:
-1 x -454981-29 x -15689-541 x -841
A:
Positive:
1 x 45498129 x 15689541 x 841
Negative:
-1 x -454981-29 x -15689-541 x -841
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 454,981, 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 | 454,981 | |
-1 | -454,981 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 454,981.
Example:
1 x 454,981 = 454,981
and
-1 x -454,981 = 454,981
Notice both answers equal 454,981
With that explanation out of the way, let's continue. Next, we take the number 454,981 and divide it by 2:
454,981 ÷ 2 = 227,490.5
If the quotient is a whole number, then 2 and 227,490.5 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 | 454,981 | |
-1 | -454,981 |
Now, we try dividing 454,981 by 3:
454,981 ÷ 3 = 151,660.3333
If the quotient is a whole number, then 3 and 151,660.3333 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 | 454,981 | |
-1 | -454,981 |
Let's try dividing by 4:
454,981 ÷ 4 = 113,745.25
If the quotient is a whole number, then 4 and 113,745.25 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 | 454,981 | |
-1 | 454,981 |
If you did it right, you will end up with this table:
1 | 29 | 541 | 841 | 15,689 | 454,981 |
-1 | -29 | -541 | -841 | -15,689 | -454,981 |
Here are some more numbers to try:
Try the factor calculator