choose the number which is different from other in the group. 12,25,37,49
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37 is the number which is different from others.Because , 12,25 and 49 are composite numbers whereas 37 is a prime number.
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Given : The given numbers are = 12,25,37,49
To find : The number which is different from others.
Solution :
We can simply solve this mathematical problem by using the following mathematical process.
To solve this mathematical problem, we have to know more about composite numbers and prime numbers.
What is prime number?
- "If a number is only divisible by 1 and itself, then the number is considered to be a prime number."
- Example : 3 is a prime number, because it is only divisible by 3 (itself) and 1
What is composite number?
- "If a number has more than two factors then the number will be considered as a composite number."
- Example : 8 is a composite number, because it has 1,2,4 and 8 as its factors. (more than 2 factors)
Now, analysing the given numbers.
- Factors of 12 are 1,2,3,4,6 and 12. So it is a composite number.
- Factors of 25 are 1,5,25. So it is a composite number.
- 37 is divisible by 1 and 37. So it is a prime number.
- Factors of 49 are 1,7,49. So it is a composite number.
So, only the 37 is a prime number here. That's why it is different from others.
Hence, 37 is different from others in the group.
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