Q: What are the factor combinations of the number 39,002,581?
A:
Positive:
1 x 39002581521 x 74861
Negative:
-1 x -39002581-521 x -74861
A:
Positive:
1 x 39002581521 x 74861
Negative:
-1 x -39002581-521 x -74861
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 39,002,581, 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 | 39,002,581 | |
-1 | -39,002,581 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 39,002,581.
Example:
1 x 39,002,581 = 39,002,581
and
-1 x -39,002,581 = 39,002,581
Notice both answers equal 39,002,581
With that explanation out of the way, let's continue. Next, we take the number 39,002,581 and divide it by 2:
39,002,581 ÷ 2 = 19,501,290.5
If the quotient is a whole number, then 2 and 19,501,290.5 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 | 39,002,581 | |
-1 | -39,002,581 |
Now, we try dividing 39,002,581 by 3:
39,002,581 ÷ 3 = 13,000,860.3333
If the quotient is a whole number, then 3 and 13,000,860.3333 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 | 39,002,581 | |
-1 | -39,002,581 |
Let's try dividing by 4:
39,002,581 ÷ 4 = 9,750,645.25
If the quotient is a whole number, then 4 and 9,750,645.25 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 | 39,002,581 | |
-1 | 39,002,581 |
If you did it right, you will end up with this table:
1 | 521 | 74,861 | 39,002,581 |
-1 | -521 | -74,861 | -39,002,581 |
Here are some more numbers to try:
Try the factor calculator