Q: What are the factor combinations of the number 90,451?
A:
Positive:
1 x 9045129 x 3119
Negative:
-1 x -90451-29 x -3119
A:
Positive:
1 x 9045129 x 3119
Negative:
-1 x -90451-29 x -3119
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 90,451, 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 | 90,451 | |
-1 | -90,451 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 90,451.
Example:
1 x 90,451 = 90,451
and
-1 x -90,451 = 90,451
Notice both answers equal 90,451
With that explanation out of the way, let's continue. Next, we take the number 90,451 and divide it by 2:
90,451 ÷ 2 = 45,225.5
If the quotient is a whole number, then 2 and 45,225.5 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 | 90,451 | |
-1 | -90,451 |
Now, we try dividing 90,451 by 3:
90,451 ÷ 3 = 30,150.3333
If the quotient is a whole number, then 3 and 30,150.3333 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 | 90,451 | |
-1 | -90,451 |
Let's try dividing by 4:
90,451 ÷ 4 = 22,612.75
If the quotient is a whole number, then 4 and 22,612.75 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 | 90,451 | |
-1 | 90,451 |
If you did it right, you will end up with this table:
1 | 29 | 3,119 | 90,451 |
-1 | -29 | -3,119 | -90,451 |
Here are some more numbers to try:
Try the factor calculator