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Q.

Find the prime factors of 12673.

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a

19,23,29

b

23,29,31

c

13,17,19

d

13,19,23

answer is A.

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Detailed Solution

We have to find the prime factors of the number 12673
We know prime factorization of a number is the representation of a number in terms of multiples of its prime factors.
⇒12673=19×23×29
Since no prime factor is repeated in the multiplication in RHS we cannot apply the exponent rule as the prime factors are already in simplest form.
Since 19, 23 and 29 are prime numbers and are factors of the number 12673 we can write 19, 23 and 29 are prime factors of 12673.
∴Prime factors of 12673 are 19, 23 and 29.

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