Q: What are the factor combinations of the number 74,789?
A:
Positive:
1 x 7478911 x 679913 x 5753143 x 523
Negative:
-1 x -74789-11 x -6799-13 x -5753-143 x -523
A:
Positive:
1 x 7478911 x 679913 x 5753143 x 523
Negative:
-1 x -74789-11 x -6799-13 x -5753-143 x -523
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 74,789, 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 | 74,789 | |
-1 | -74,789 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 74,789.
Example:
1 x 74,789 = 74,789
and
-1 x -74,789 = 74,789
Notice both answers equal 74,789
With that explanation out of the way, let's continue. Next, we take the number 74,789 and divide it by 2:
74,789 ÷ 2 = 37,394.5
If the quotient is a whole number, then 2 and 37,394.5 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 | 74,789 | |
-1 | -74,789 |
Now, we try dividing 74,789 by 3:
74,789 ÷ 3 = 24,929.6667
If the quotient is a whole number, then 3 and 24,929.6667 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 | 74,789 | |
-1 | -74,789 |
Let's try dividing by 4:
74,789 ÷ 4 = 18,697.25
If the quotient is a whole number, then 4 and 18,697.25 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 | 74,789 | |
-1 | 74,789 |
If you did it right, you will end up with this table:
1 | 11 | 13 | 143 | 523 | 5,753 | 6,799 | 74,789 |
-1 | -11 | -13 | -143 | -523 | -5,753 | -6,799 | -74,789 |
Here are some more numbers to try:
Try the factor calculator