Question

question
what is the prime factorization of 61?
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enter the number itself.
answer attempt 1 out of 2

Explanation:

Step1: Check if 61 is prime

A prime number has only 1 and itself as factors. Test divisibility by primes up to $\sqrt{61} \approx 7.81$. Check 2, 3, 5, 7:

• 61 is odd, not divisible by 2.
• $6+1=7$, not divisible by 3.
• Does not end in 0/5, not divisible by 5.
• $7 \times 8=56$, $7 \times 9=63$, so not divisible by 7.

Step2: State prime factorization

Since 61 is prime, its prime factorization is itself.

Answer:

61