Question

Write 512 as a product of primes. Use index notation when giving your answer.

Answer 1

Answer:

512 = 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2

Answer 2

Answer:

512 = $2^9$ is the answer.

Step-by-step explanation:

Step 1:

Any number can be represented in form of product of primes. This is known as prime factorization of a number.

Step 2:

Prime factorization is useful to find out LCM and HCF of numbers.

Step 3:

Prime factorization of 512:

512 = 2 x 256

512 = 2 x 2 x 128

512 = 2 x 2 x 2 x 64

512 = 2 x 2 x 2 x 2 x 32

512 = 2 x 2 x 2 x 2 x 2 x 16

512 = 2 x 2 x 2 x 2 x 2 x 2 x 8

512 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 4

512 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2

Step 4:

Prime factorization in the form of index notation:

512 = $2^9$

Step 5:

512 = $2^9$ is the answer.

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