Q: What are the factor combinations of the number 2,725,241?
A:
Positive:
1 x 272524131 x 87911
Negative:
-1 x -2725241-31 x -87911
A:
Positive:
1 x 272524131 x 87911
Negative:
-1 x -2725241-31 x -87911
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 2,725,241, 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 | 2,725,241 | |
-1 | -2,725,241 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 2,725,241.
Example:
1 x 2,725,241 = 2,725,241
and
-1 x -2,725,241 = 2,725,241
Notice both answers equal 2,725,241
With that explanation out of the way, let's continue. Next, we take the number 2,725,241 and divide it by 2:
2,725,241 ÷ 2 = 1,362,620.5
If the quotient is a whole number, then 2 and 1,362,620.5 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 | 2,725,241 | |
-1 | -2,725,241 |
Now, we try dividing 2,725,241 by 3:
2,725,241 ÷ 3 = 908,413.6667
If the quotient is a whole number, then 3 and 908,413.6667 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 | 2,725,241 | |
-1 | -2,725,241 |
Let's try dividing by 4:
2,725,241 ÷ 4 = 681,310.25
If the quotient is a whole number, then 4 and 681,310.25 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 | 2,725,241 | |
-1 | 2,725,241 |
If you did it right, you will end up with this table:
1 | 31 | 87,911 | 2,725,241 |
-1 | -31 | -87,911 | -2,725,241 |
Here are some more numbers to try:
Try the factor calculator