Which expression shows the prime factorization of 48?
O2×2×3
O 2×2×2×2×3
O 2×2×2× 3
Q2×2×2× 3 × 3

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anuksha0456 anuksha0456 · Answer 1 · 2022-08-25T22:26:32+02:00

The expression showing the prime factorization of 48 is 2×2×2×2×3, making the second option the right choice.

A prime number is any number that is divisible by only two numbers, and the two numbers are 1 and itself.

The prime factorization of any number is the number written as the product of only prime numbers.

In the question, we are asked to identify the expression, that shows the prime factorization of 48.

2×2×3: Solving this, we get 12, implying that 2×2×3 is the prime factorization of 12 and not 48.
2×2×2×2×3: Solving this, we get 48, implying that 2×2×2×2×3 is the prime factorization of 48.
2×2×2× 3: Solving this, we get 24, implying that 2×2×2× 3 is the prime factorization of 24 and not 48.
2×2×2×3×3: Solving this, we get 72, implying that 2×2×2×3×3 is the prime factorization of 72 and not 48.

Thus, the expression showing the prime factorization of 48 is 2×2×2×2×3, making the second option the right choice.

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