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BECE Mathematics 2017 Paper

Question : 39

Total: 40

Solution:

Concept:

Prime factorization means writing a number as a product of its prime factors.

Explanation:

First, split

1352

into smaller factors:

1352 = 8 \times 169

Now factor each part into primes:

8 = 2 \times 2 \times 2 = 2^3

169 = 13 \times 13 = 13^2

So,

1352 = 2^3 \times 13^2

Using the law of indices, repeated multiplication is written as powers of primes.

Thus, the product of prime factors is

2^3 \times 13^2

Answer:

1352 = 2^3 \times 13^2

Therefore, the correct option is B.

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