Q: What are the factor combinations of the number 45,917?
A:
Positive:
1 x 4591717 x 270137 x 124173 x 629
Negative:
-1 x -45917-17 x -2701-37 x -1241-73 x -629
A:
Positive:
1 x 4591717 x 270137 x 124173 x 629
Negative:
-1 x -45917-17 x -2701-37 x -1241-73 x -629
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 45,917, 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 | 45,917 | |
-1 | -45,917 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 45,917.
Example:
1 x 45,917 = 45,917
and
-1 x -45,917 = 45,917
Notice both answers equal 45,917
With that explanation out of the way, let's continue. Next, we take the number 45,917 and divide it by 2:
45,917 ÷ 2 = 22,958.5
If the quotient is a whole number, then 2 and 22,958.5 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 | 45,917 | |
-1 | -45,917 |
Now, we try dividing 45,917 by 3:
45,917 ÷ 3 = 15,305.6667
If the quotient is a whole number, then 3 and 15,305.6667 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 | 45,917 | |
-1 | -45,917 |
Let's try dividing by 4:
45,917 ÷ 4 = 11,479.25
If the quotient is a whole number, then 4 and 11,479.25 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 | 45,917 | |
-1 | 45,917 |
If you did it right, you will end up with this table:
1 | 17 | 37 | 73 | 629 | 1,241 | 2,701 | 45,917 |
-1 | -17 | -37 | -73 | -629 | -1,241 | -2,701 | -45,917 |
Here are some more numbers to try:
Try the factor calculator