Q: What are the factor combinations of the number 144,122,333?
A:
Positive:
1 x 1441223332689 x 53597
Negative:
-1 x -144122333-2689 x -53597
A:
Positive:
1 x 1441223332689 x 53597
Negative:
-1 x -144122333-2689 x -53597
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 144,122,333, 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 | 144,122,333 | |
-1 | -144,122,333 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 144,122,333.
Example:
1 x 144,122,333 = 144,122,333
and
-1 x -144,122,333 = 144,122,333
Notice both answers equal 144,122,333
With that explanation out of the way, let's continue. Next, we take the number 144,122,333 and divide it by 2:
144,122,333 ÷ 2 = 72,061,166.5
If the quotient is a whole number, then 2 and 72,061,166.5 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 | 144,122,333 | |
-1 | -144,122,333 |
Now, we try dividing 144,122,333 by 3:
144,122,333 ÷ 3 = 48,040,777.6667
If the quotient is a whole number, then 3 and 48,040,777.6667 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 | 144,122,333 | |
-1 | -144,122,333 |
Let's try dividing by 4:
144,122,333 ÷ 4 = 36,030,583.25
If the quotient is a whole number, then 4 and 36,030,583.25 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 | 144,122,333 | |
-1 | 144,122,333 |
If you did it right, you will end up with this table:
1 | 2,689 | 53,597 | 144,122,333 |
-1 | -2,689 | -53,597 | -144,122,333 |
Here are some more numbers to try:
Try the factor calculator