Q: What are the factor combinations of the number 74,603?
A:
Positive:
1 x 7460361 x 1223
Negative:
-1 x -74603-61 x -1223
A:
Positive:
1 x 7460361 x 1223
Negative:
-1 x -74603-61 x -1223
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 74,603, 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 | 74,603 | |
-1 | -74,603 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 74,603.
Example:
1 x 74,603 = 74,603
and
-1 x -74,603 = 74,603
Notice both answers equal 74,603
With that explanation out of the way, let's continue. Next, we take the number 74,603 and divide it by 2:
74,603 ÷ 2 = 37,301.5
If the quotient is a whole number, then 2 and 37,301.5 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 | 74,603 | |
-1 | -74,603 |
Now, we try dividing 74,603 by 3:
74,603 ÷ 3 = 24,867.6667
If the quotient is a whole number, then 3 and 24,867.6667 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 | 74,603 | |
-1 | -74,603 |
Let's try dividing by 4:
74,603 ÷ 4 = 18,650.75
If the quotient is a whole number, then 4 and 18,650.75 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 | 74,603 | |
-1 | 74,603 |
If you did it right, you will end up with this table:
1 | 61 | 1,223 | 74,603 |
-1 | -61 | -1,223 | -74,603 |
Here are some more numbers to try:
Try the factor calculator