If A = {x : x ∈ ℕ and x is a prime factor of 25}, what is A?
Answer and explanation
Correct answer: {5}
Prime factorization means expressing a number as a product of prime numbers. We have 25 = 5 × 5, so the only prime number that divides 25 is 5. Although 5 occurs twice in the factorization, a set does not record repeated elements. Therefore the set of prime factors of 25 is A = {5}, making option B correct.
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What is the correct answer to this question?
{5}
Why is this the correct answer?
Prime factorization means expressing a number as a product of prime numbers. We have 25 = 5 × 5, so the only prime number that divides 25 is 5. Although 5 occurs twice in the factorization, a set does not record repeated elements. Therefore the set of prime factors of 25 is A = {5}, making option B correct.
Which subject and chapter does this question cover?
This is a Class 12 Mathematics question. Chapter: Sets.
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