In which of the following, correct prime factorisation has been done ?
45 = 5 x 5 x 3
60 = 2 x 2 x 3 x 5
80 = 2 x 2 x 4 x 5
56 = 2 x 2 x 2 x 2 x 3
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SOLUTION :-
1•} 45 = 5 × 5 × 3
Prime factorization of 45,
Correct Prime Factorization of 45 is 5 × 3 × 3 = 5 × 3²
Therefore, the given factorization is false.
2•} 60 = 2 × 2 × 3 × 5 = 2² × 3 × 5
Prime factorization of 60,
The given factorization is correct.
Therefore, the given factorization is true.
3•} 80 = 2 × 2 × 4 × 5 = 2 × 2 × 2 × 2 × 5 = 2⁴ × 5
Prime factorization of 80,
The given factorization is correct.
Therefore, the given factorization is true.
4•} 56 = 2 × 2 ×2 × 2 × 3 = 2⁴ × 3
Prime factorization of 56,
Correct Prime Factorization of 56 is 2 × 2 × 2 × 7 = 2³ × 7
Therefore, the given factorization is false.
Prime factorization of 60 and 80 are correct.
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