Q: What are the factor combinations of the number 233,114,423?
A:
Positive:
1 x 233114423863 x 270121
Negative:
-1 x -233114423-863 x -270121
A:
Positive:
1 x 233114423863 x 270121
Negative:
-1 x -233114423-863 x -270121
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 233,114,423, 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 | 233,114,423 | |
-1 | -233,114,423 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 233,114,423.
Example:
1 x 233,114,423 = 233,114,423
and
-1 x -233,114,423 = 233,114,423
Notice both answers equal 233,114,423
With that explanation out of the way, let's continue. Next, we take the number 233,114,423 and divide it by 2:
233,114,423 ÷ 2 = 116,557,211.5
If the quotient is a whole number, then 2 and 116,557,211.5 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 | 233,114,423 | |
-1 | -233,114,423 |
Now, we try dividing 233,114,423 by 3:
233,114,423 ÷ 3 = 77,704,807.6667
If the quotient is a whole number, then 3 and 77,704,807.6667 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 | 233,114,423 | |
-1 | -233,114,423 |
Let's try dividing by 4:
233,114,423 ÷ 4 = 58,278,605.75
If the quotient is a whole number, then 4 and 58,278,605.75 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 | 233,114,423 | |
-1 | 233,114,423 |
If you did it right, you will end up with this table:
1 | 863 | 270,121 | 233,114,423 |
-1 | -863 | -270,121 | -233,114,423 |
Here are some more numbers to try:
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