Question

Express 9216 as a product of prime factors in exponential form​

Answer 1

9216 in exponential form

2×2×2×2×2×2×2×2×2×2×2×3×3

It can also be written as 210 ×32

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Answer 2

Therefore the given number 9216 can be represented in the form of the product of prime factors as 2 × 2 × 2 × 2 c 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 or 2¹⁰ × 3².

Given:

The given number = 9216

To Find:

The given number 9216 must be expressed in the form of the product of prime factors.

Solution:

The given question can be solved as shown below.

The given number = 9216

The Prime factorization of 9126:

2 I 9216

2 I 4608

2 I 2304

2 I 1152

2 I 576

2 I 288

2 I 144

2 I 72

2 I 36

2 I 18

3 I 9

    3

So the product of the prime factors of 9216 = 2 × 2 × 2 × 2 c 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 = 2¹⁰ × 3²

Therefore the given number 9216 can be represented in the form of the product of prime factors as 2 × 2 × 2 × 2 c 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 or 2¹⁰ × 3².

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