
Express the given number as the sum of three odd prime: 31
Answer
594.9k+ views
Hint: First we will look at the definition of prime numbers and then we are going to write all the prime numbers that are less than 31 and as it is given in the question that odd prime, therefore 2 is out of question, after that we will try to find the three numbers that will give 31.
Complete step-by-step answer:
Prime number: The number which is divisible by only 1 and itself is called prime number.
Now using the above definition we will write all the prime numbers that are less than 31.
Let’s start our solution by writing all the odd prime numbers less than 31:
3, 5, 7, 11, 13, 17, 19, 23, 29.
Now from these numbers we have to pick any 3 which gives us the sum = 31.
By inspection we can see that 3 +17 + 11 = 31
So the answer to this question is,
31 = 3 + 11 +17
Note: To solve this question one should know the meaning of the prime number, and as we have to make the sum = 31, so it’s obvious that we will take only the prime number that is less than 31.
By looking at a set of prime numbers less than 31 one should be easily able to find the required three numbers by hit and try method.
Complete step-by-step answer:
Prime number: The number which is divisible by only 1 and itself is called prime number.
Now using the above definition we will write all the prime numbers that are less than 31.
Let’s start our solution by writing all the odd prime numbers less than 31:
3, 5, 7, 11, 13, 17, 19, 23, 29.
Now from these numbers we have to pick any 3 which gives us the sum = 31.
By inspection we can see that 3 +17 + 11 = 31
So the answer to this question is,
31 = 3 + 11 +17
Note: To solve this question one should know the meaning of the prime number, and as we have to make the sum = 31, so it’s obvious that we will take only the prime number that is less than 31.
By looking at a set of prime numbers less than 31 one should be easily able to find the required three numbers by hit and try method.
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