Prime factorization of 343 is _____.

7^{2} \times 3

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7^{2} \times 5

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7^{3} \times 3

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7^{3}

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Solution

The correct option is D $7^{3}$
Prime factorization of a number is expressing the number as a product of its prime factors.
$\begin{matrix} 7 & 343 7 & 49 7 \end{matrix}$
So, $343 = 7 \times 7 \times 7 = 7^{3}$
Therefore, 343 is a perfect cube.

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343

Question 92

Solve the following question:

Using prime factorization, find which of the following are perfect cubes.

a) 128
b) 343
c) 729
d) 1331

729

343

512

0.064

0.216

5 \frac{23}{64}

- 1.331

- 27000

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