Question

Write 300 as a product of primes. Use index notation when giving your answer.

Answer 1

Answer:

Thus, the prime factorization of 300 is 2 × 2 × 3 × 5 × 5 = 22 × 3 × 52 where 2, 3, and 5 are the prime numbers.

Answer 2

SOLUTION

TO DETERMINE

Write 300 as a product of primes.

Use index notation to write the answer

EVALUATION

Here the given number = 300

We prime factorise the given number

300

= 2 × 2 × 3 × 5 × 5

Number of 2's = 2

Number of 3's = 1

Number of 5's = 2

Thus writing the given number in index form we get

$\displaystyle \sf{300 = {2}^{2} \times {3}^{1} \times {5}^{2} }$

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