Question

The sum of the exponents of the prime factors in the prime factorisation of 196, is
A. 1
B. 2
C. 4
D. 6

Answer 1

Given : 196

Solution :  

Prime factorisation of 196 = 2 × 2 × 7 × 7

Prime factorisation of 196 = 2² × 7²

The exponent of 2 is 2

The exponent of 7 is 2

Sum of the exponents of the prime factors 2 and 7 of prime factorisation of 196 is 2 + 2 = 4

Hence, The sum of the exponents of the prime factors in the prime factorisation of 196 is 4.

Among the given options option (C) 4 is correct.

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Answer 2

Step-by-step explanation:

Hi friend!!!!!

196=2×2×7×7

=2²×7²

exponent of 2 is 2

exponent of 7 is 2

so the sum of exponents of prime factors of prime factorisation of 196 is 2+2=4