Q: What are the factor combinations of the number 242,000,243?
A:
Positive:
1 x 24200024310427 x 23209
Negative:
-1 x -242000243-10427 x -23209
A:
Positive:
1 x 24200024310427 x 23209
Negative:
-1 x -242000243-10427 x -23209
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 242,000,243, 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 | 242,000,243 | |
-1 | -242,000,243 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 242,000,243.
Example:
1 x 242,000,243 = 242,000,243
and
-1 x -242,000,243 = 242,000,243
Notice both answers equal 242,000,243
With that explanation out of the way, let's continue. Next, we take the number 242,000,243 and divide it by 2:
242,000,243 ÷ 2 = 121,000,121.5
If the quotient is a whole number, then 2 and 121,000,121.5 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 | 242,000,243 | |
-1 | -242,000,243 |
Now, we try dividing 242,000,243 by 3:
242,000,243 ÷ 3 = 80,666,747.6667
If the quotient is a whole number, then 3 and 80,666,747.6667 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 | 242,000,243 | |
-1 | -242,000,243 |
Let's try dividing by 4:
242,000,243 ÷ 4 = 60,500,060.75
If the quotient is a whole number, then 4 and 60,500,060.75 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 | 242,000,243 | |
-1 | 242,000,243 |
If you did it right, you will end up with this table:
1 | 10,427 | 23,209 | 242,000,243 |
-1 | -10,427 | -23,209 | -242,000,243 |
Here are some more numbers to try:
Try the factor calculator