Q: What are the factor combinations of the number 45,715?
A:
Positive:
1 x 457155 x 914341 x 1115205 x 223
Negative:
-1 x -45715-5 x -9143-41 x -1115-205 x -223
A:
Positive:
1 x 457155 x 914341 x 1115205 x 223
Negative:
-1 x -45715-5 x -9143-41 x -1115-205 x -223
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 45,715, 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 | 45,715 | |
-1 | -45,715 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 45,715.
Example:
1 x 45,715 = 45,715
and
-1 x -45,715 = 45,715
Notice both answers equal 45,715
With that explanation out of the way, let's continue. Next, we take the number 45,715 and divide it by 2:
45,715 ÷ 2 = 22,857.5
If the quotient is a whole number, then 2 and 22,857.5 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 | 45,715 | |
-1 | -45,715 |
Now, we try dividing 45,715 by 3:
45,715 ÷ 3 = 15,238.3333
If the quotient is a whole number, then 3 and 15,238.3333 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 | 45,715 | |
-1 | -45,715 |
Let's try dividing by 4:
45,715 ÷ 4 = 11,428.75
If the quotient is a whole number, then 4 and 11,428.75 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 | 45,715 | |
-1 | 45,715 |
If you did it right, you will end up with this table:
1 | 5 | 41 | 205 | 223 | 1,115 | 9,143 | 45,715 |
-1 | -5 | -41 | -205 | -223 | -1,115 | -9,143 | -45,715 |
Here are some more numbers to try:
Try the factor calculator