Q: What are the factor combinations of the number 20,742,725?
A:
Positive:
1 x 207427255 x 414854525 x 829709
Negative:
-1 x -20742725-5 x -4148545-25 x -829709
A:
Positive:
1 x 207427255 x 414854525 x 829709
Negative:
-1 x -20742725-5 x -4148545-25 x -829709
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 20,742,725, 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 | 20,742,725 | |
-1 | -20,742,725 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 20,742,725.
Example:
1 x 20,742,725 = 20,742,725
and
-1 x -20,742,725 = 20,742,725
Notice both answers equal 20,742,725
With that explanation out of the way, let's continue. Next, we take the number 20,742,725 and divide it by 2:
20,742,725 ÷ 2 = 10,371,362.5
If the quotient is a whole number, then 2 and 10,371,362.5 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 | 20,742,725 | |
-1 | -20,742,725 |
Now, we try dividing 20,742,725 by 3:
20,742,725 ÷ 3 = 6,914,241.6667
If the quotient is a whole number, then 3 and 6,914,241.6667 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 | 20,742,725 | |
-1 | -20,742,725 |
Let's try dividing by 4:
20,742,725 ÷ 4 = 5,185,681.25
If the quotient is a whole number, then 4 and 5,185,681.25 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 | 20,742,725 | |
-1 | 20,742,725 |
If you did it right, you will end up with this table:
1 | 5 | 25 | 829,709 | 4,148,545 | 20,742,725 |
-1 | -5 | -25 | -829,709 | -4,148,545 | -20,742,725 |
Here are some more numbers to try:
Try the factor calculator