Q: What are the factor combinations of the number 74,497?
A:
Positive:
1 x 7449723 x 323941 x 181779 x 943
Negative:
-1 x -74497-23 x -3239-41 x -1817-79 x -943
A:
Positive:
1 x 7449723 x 323941 x 181779 x 943
Negative:
-1 x -74497-23 x -3239-41 x -1817-79 x -943
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 74,497, 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 | 74,497 | |
-1 | -74,497 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 74,497.
Example:
1 x 74,497 = 74,497
and
-1 x -74,497 = 74,497
Notice both answers equal 74,497
With that explanation out of the way, let's continue. Next, we take the number 74,497 and divide it by 2:
74,497 ÷ 2 = 37,248.5
If the quotient is a whole number, then 2 and 37,248.5 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 | 74,497 | |
-1 | -74,497 |
Now, we try dividing 74,497 by 3:
74,497 ÷ 3 = 24,832.3333
If the quotient is a whole number, then 3 and 24,832.3333 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 | 74,497 | |
-1 | -74,497 |
Let's try dividing by 4:
74,497 ÷ 4 = 18,624.25
If the quotient is a whole number, then 4 and 18,624.25 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 | 74,497 | |
-1 | 74,497 |
If you did it right, you will end up with this table:
1 | 23 | 41 | 79 | 943 | 1,817 | 3,239 | 74,497 |
-1 | -23 | -41 | -79 | -943 | -1,817 | -3,239 | -74,497 |
Here are some more numbers to try:
Try the factor calculator