Question
Download Solution PDFThe prime number nearest to 80 is -
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFConcept:
A prime number is a natural number greater than 1 that has no positive divisors other than 1 and itself.
Calculation:
Checking the options:
73: The prime factors of 73 are only 1 and 73. So, 73 is a prime number. The distance from 80 is |80 - 73| = 7.
79: The prime factors of 79 are only 1 and 79. So, 79 is a prime number. The distance from 80 is |80 - 79| = 1.
81: 81 is divisible by 3 (81 = 3 × 27) and 9 (81 = 9 × 9). So, 81 is not a prime number.
83: The prime factors of 83 are only 1 and 83. So, 83 is a prime number. The distance from 80 is |83 - 80| = 3.
Comparing the prime numbers and their distances from 80:
Distance of 73 from 80 is 7.
Distance of 79 from 80 is 1.
Distance of 83 from 80 is 3.
The smallest distance is 1, which corresponds to the prime number 79.
∴ The prime number nearest to 80 is 79.
Last updated on Jun 2, 2025
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