Q: What are the factor combinations of the number 45,799?
A:
Positive:
1 x 4579913 x 3523169 x 271
Negative:
-1 x -45799-13 x -3523-169 x -271
A:
Positive:
1 x 4579913 x 3523169 x 271
Negative:
-1 x -45799-13 x -3523-169 x -271
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 45,799, 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 | 45,799 | |
-1 | -45,799 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 45,799.
Example:
1 x 45,799 = 45,799
and
-1 x -45,799 = 45,799
Notice both answers equal 45,799
With that explanation out of the way, let's continue. Next, we take the number 45,799 and divide it by 2:
45,799 ÷ 2 = 22,899.5
If the quotient is a whole number, then 2 and 22,899.5 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 | 45,799 | |
-1 | -45,799 |
Now, we try dividing 45,799 by 3:
45,799 ÷ 3 = 15,266.3333
If the quotient is a whole number, then 3 and 15,266.3333 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 | 45,799 | |
-1 | -45,799 |
Let's try dividing by 4:
45,799 ÷ 4 = 11,449.75
If the quotient is a whole number, then 4 and 11,449.75 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 | 45,799 | |
-1 | 45,799 |
If you did it right, you will end up with this table:
1 | 13 | 169 | 271 | 3,523 | 45,799 |
-1 | -13 | -169 | -271 | -3,523 | -45,799 |
Here are some more numbers to try:
Try the factor calculator