Question 1 Let n = p1^r1p2^r2∈ℤ^+ where p1 and p2 are distinct prime numbers and r1, r2 ≥ 1. If

Name: Question 1 Let n = p1^r1p2^r2∈ℤ^+ where p1 and p2 are distinct prime numbers and r1, r2 ≥ 1. If ϕ(n) = 60, then determine all such positive integers n.
Uploaded: 2022-05-10T15:25:06-08:00
Duration: 3 min 8 s
Channel: Madhur L
Description: Question 1 Let n = p1^r1p2^r2∈ℤ^+ where p1 and p2 are distinct prime numbers and r1, r2 ≥ 1. If ϕ(n) = 60, then determine all such positive integers n.

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Madhur L · Accepted Answer

Step 1: We are given that (n) = 60, where (n) represents the number of positive divisors of n.

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Question 1 Let $n = p_1^{r_1}p_2^{r_2} \in \mathbb{Z}^+$ where $p_1$ and $p_2$ are distinct prime numbers and $r_1, r_2 \ge 1$. If $\phi(n) = 60$, then determine all such positive integers $n$.

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