Q: What are the factor combinations of the number 21,946,273?
A:
Positive:
1 x 2194627319 x 1155067361 x 60793
Negative:
-1 x -21946273-19 x -1155067-361 x -60793
A:
Positive:
1 x 2194627319 x 1155067361 x 60793
Negative:
-1 x -21946273-19 x -1155067-361 x -60793
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 21,946,273, 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 | 21,946,273 | |
-1 | -21,946,273 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 21,946,273.
Example:
1 x 21,946,273 = 21,946,273
and
-1 x -21,946,273 = 21,946,273
Notice both answers equal 21,946,273
With that explanation out of the way, let's continue. Next, we take the number 21,946,273 and divide it by 2:
21,946,273 ÷ 2 = 10,973,136.5
If the quotient is a whole number, then 2 and 10,973,136.5 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 | 21,946,273 | |
-1 | -21,946,273 |
Now, we try dividing 21,946,273 by 3:
21,946,273 ÷ 3 = 7,315,424.3333
If the quotient is a whole number, then 3 and 7,315,424.3333 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 | 21,946,273 | |
-1 | -21,946,273 |
Let's try dividing by 4:
21,946,273 ÷ 4 = 5,486,568.25
If the quotient is a whole number, then 4 and 5,486,568.25 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 | 21,946,273 | |
-1 | 21,946,273 |
If you did it right, you will end up with this table:
1 | 19 | 361 | 60,793 | 1,155,067 | 21,946,273 |
-1 | -19 | -361 | -60,793 | -1,155,067 | -21,946,273 |
Here are some more numbers to try:
Try the factor calculator