The number 132 can be written in the form $2^p \times q \times r$, where $p$, $q$, and $r$ are prime numbers.

Find the values of $p$, $q$, and $r$.

Question

The number 132 can be written in the form $2^p \times q \times r$, where $p$, $q$, and $r$ are prime numbers.

Find the values of $p$, $q$, and $r$.

mariamikayla · Answer

132∣2 66 ∣2 33 ∣3 11 ∣11 1 132 = 2 ∗ 2 ∗ 3 ∗ 11 132 = 2 p ∗ q ∗ r 2 p = 2 ∗ 2 → p = 2 ​ q = 3 ​ r = 11 ​

mariamikayla · Answer

The prime factorization of 132 is 2 2 × 3 × 11 . Therefore, p = 2 , q = 3 , and r = 11 . 
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The number 132 can be written in the form \(2^p \times q \times r\), where \(p\), \(q\), and \(r\) are prime numbers.

Find the values of \(p\), \(q\), and \(r\).