Q: What are the factor combinations of the number 44,945?
A:
Positive:
1 x 449455 x 898989 x 505101 x 445
Negative:
-1 x -44945-5 x -8989-89 x -505-101 x -445
A:
Positive:
1 x 449455 x 898989 x 505101 x 445
Negative:
-1 x -44945-5 x -8989-89 x -505-101 x -445
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 44,945, 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 | 44,945 | |
-1 | -44,945 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 44,945.
Example:
1 x 44,945 = 44,945
and
-1 x -44,945 = 44,945
Notice both answers equal 44,945
With that explanation out of the way, let's continue. Next, we take the number 44,945 and divide it by 2:
44,945 ÷ 2 = 22,472.5
If the quotient is a whole number, then 2 and 22,472.5 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 | 44,945 | |
-1 | -44,945 |
Now, we try dividing 44,945 by 3:
44,945 ÷ 3 = 14,981.6667
If the quotient is a whole number, then 3 and 14,981.6667 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 | 44,945 | |
-1 | -44,945 |
Let's try dividing by 4:
44,945 ÷ 4 = 11,236.25
If the quotient is a whole number, then 4 and 11,236.25 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 | 44,945 | |
-1 | 44,945 |
If you did it right, you will end up with this table:
1 | 5 | 89 | 101 | 445 | 505 | 8,989 | 44,945 |
-1 | -5 | -89 | -101 | -445 | -505 | -8,989 | -44,945 |
Here are some more numbers to try:
Try the factor calculator