Q: What are the factor combinations of the number 121,302,017?
A:
Positive:
1 x 1213020171433 x 84649
Negative:
-1 x -121302017-1433 x -84649
A:
Positive:
1 x 1213020171433 x 84649
Negative:
-1 x -121302017-1433 x -84649
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 121,302,017, 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 | 121,302,017 | |
-1 | -121,302,017 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 121,302,017.
Example:
1 x 121,302,017 = 121,302,017
and
-1 x -121,302,017 = 121,302,017
Notice both answers equal 121,302,017
With that explanation out of the way, let's continue. Next, we take the number 121,302,017 and divide it by 2:
121,302,017 ÷ 2 = 60,651,008.5
If the quotient is a whole number, then 2 and 60,651,008.5 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 | 121,302,017 | |
-1 | -121,302,017 |
Now, we try dividing 121,302,017 by 3:
121,302,017 ÷ 3 = 40,434,005.6667
If the quotient is a whole number, then 3 and 40,434,005.6667 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 | 121,302,017 | |
-1 | -121,302,017 |
Let's try dividing by 4:
121,302,017 ÷ 4 = 30,325,504.25
If the quotient is a whole number, then 4 and 30,325,504.25 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 | 121,302,017 | |
-1 | 121,302,017 |
If you did it right, you will end up with this table:
1 | 1,433 | 84,649 | 121,302,017 |
-1 | -1,433 | -84,649 | -121,302,017 |
Here are some more numbers to try:
Try the factor calculator