Q: What are the factor combinations of the number 1,238,729?
A:
Positive:
1 x 123872931 x 39959961 x 1289
Negative:
-1 x -1238729-31 x -39959-961 x -1289
A:
Positive:
1 x 123872931 x 39959961 x 1289
Negative:
-1 x -1238729-31 x -39959-961 x -1289
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 1,238,729, 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 | 1,238,729 | |
-1 | -1,238,729 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 1,238,729.
Example:
1 x 1,238,729 = 1,238,729
and
-1 x -1,238,729 = 1,238,729
Notice both answers equal 1,238,729
With that explanation out of the way, let's continue. Next, we take the number 1,238,729 and divide it by 2:
1,238,729 ÷ 2 = 619,364.5
If the quotient is a whole number, then 2 and 619,364.5 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 | 1,238,729 | |
-1 | -1,238,729 |
Now, we try dividing 1,238,729 by 3:
1,238,729 ÷ 3 = 412,909.6667
If the quotient is a whole number, then 3 and 412,909.6667 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 | 1,238,729 | |
-1 | -1,238,729 |
Let's try dividing by 4:
1,238,729 ÷ 4 = 309,682.25
If the quotient is a whole number, then 4 and 309,682.25 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 | 1,238,729 | |
-1 | 1,238,729 |
If you did it right, you will end up with this table:
1 | 31 | 961 | 1,289 | 39,959 | 1,238,729 |
-1 | -31 | -961 | -1,289 | -39,959 | -1,238,729 |
Here are some more numbers to try:
Try the factor calculator