the sum of exponents of prime factors in the prime factorization of 1764 is
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TO DETERMINE
The sum of exponents of prime factors in the prime factorization of 1764
EVALUATION
Here the given number = 1764
First we prime factorise the given number
1764
= 2 × 2 × 3 × 3 × 7 × 7
We now write it in terms of exponents
Number of 2's = 2
Number of 3's = 2
Number of 7's = 2
Thus we have
1764 = 2² × 3² × 7²
Sum of the exponents
= 2 + 2 + 2
= 6
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