Question

QUESTION: Write 600 as a product of prime factors. Give your answer in index form.

Answer 1

Answer:

The product of prime factors of 600 can be written as 2 × 2 ×2 × 3 × 5 × 5.

In index form, it is written as $2^{3}$ × $3^{1}$ × $5^{2}$.

Step-by-step explanation:

Prime factor means a factor that is a prime number where prime numbers are the numbers which have exactly two factors i.e. 1 and the number itself. We can get prime factors by prime factorization method in which we represent a number as the product of its prime number.

So, the product of prime factors of 600 is:

⇒ 600 = 2 × 2 × 2 × 3 × 5 × 5

Now, Index form means when numbers are repeated, then it is written as an exponent.

∴ The index form of product of prime factors of 600 is: $2^{3}$ × $3^{1}$ × $5^{2}$.