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10 grade maths

Which of the following numbers are prime?

  • (i) 101
  • (ii) 251

Profile image of Aniket Singh
10 Months agoGrade
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1 Answer

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ApprovedApproved Tutor Answer10 Months ago

To determine if the numbers 101 and 251 are prime, we need to check if they have any divisors other than 1 and themselves.

What is a Prime Number?

A prime number is a natural number greater than 1 that cannot be formed by multiplying two smaller natural numbers. In simpler terms, it has exactly two distinct positive divisors: 1 and the number itself.

Checking the Numbers

  • 101: The only divisors of 101 are 1 and 101. Therefore, it is a prime number.
  • 251: Similarly, the only divisors of 251 are 1 and 251, confirming that it is also a prime number.

Final Thoughts

Both 101 and 251 are prime numbers, as they meet the criteria of having no divisors other than 1 and themselves.