Q2 of 124 Page 1

State Fundamental Theorem of Arithmetic.

Fundamental Theorem of Arithmetic: Every composite number can be expressed (factorized) as a product of primes, and this factorization is unique, apart from the order in which the prime factors occur.


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3

What can you say about the prime factorizations of the denominators of the following rational?

(i) 43.123456789


(ii)


(iii)


(iv) 0.120120012000120000…

 1

State Euclid’s division lemma.

 3

Write 98 as product of its prime factors.

 4

Write the exponent of 2 in the prime factorization of 144.