In which of the following expressions, prime factorization has been done:
(a) 24 = $2 \times 3 \times 4$
(b) 56 = $7 \times 2 \times 2 \times 2$
(c) 70 = $2 \times 5 \times 7$
(d) 54 = $2 \times 3 \times 9$

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Solution

Prime factorization of:

24 = 2 x 2 x 2 x 3

56 = 2 x 2 x 2 x 7

70 = 2 x 5 x 7

54 = 2 x 3 x 3 x 3

Hence in expressions (b) and (c), prime factorization has been done.

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Similar questions

In which of the following expressions, prime factorization has been done?

(a) 24 = 2 × 3 × 4 (b) 56 = 7 × 2 × 2 × 2

Q. In which of the following expressions, prime factorization has been done?

(i) 24 = 2 × 3 × 4
(ii) 56 = 1 × 7 × 2 × 2 × 2
(iii) 70 = 2 × 5 × 7
(iv) 54 = 2 × 3 × 9

In which of the following expressions, prime factorization has been done:

(i) $24 = 2 \times 3 \times 4$
(ii) $56 = 7 \times 2 \times 2 \times 2$
(iii) $70 = 2 \times 5 \times 7$
(iv) $54 = 2 \times 3 \times 9$

Question 6

Which of the following expressions show that rational numbers are associative under multiplication.
(a) $\frac{2}{3} \times (\frac{- 6}{7} \times \frac{3}{5}) = (\frac{2}{3} \times \frac{- 6}{7}) \times \frac{3}{5}$
(b) $\frac{2}{3} \times (\frac{- 6}{7} \times \frac{3}{5}) = \frac{2}{3} \times (\frac{3}{5} \times \frac{- 6}{7})$
(c) $\frac{2}{3} \times (\frac{- 6}{7} \times \frac{3}{5}) = (\frac{3}{5} \times \frac{2}{3}) \times \frac{- 6}{7}$
(d) $(\frac{2}{3} \times \frac{- 6}{7}) \times \frac{3}{5} = (\frac{- 6}{7} \times \frac{2}{3}) \times \frac{3}{5}$

Question 6

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In which of the following expressions, prime factorization has been done: (a) 24 = 2×3×4 (b) 56 = 7×2×2×2 (c) 70 = 2×5×7 (d) 54 = 2×3×9

Prime factorization of: 24 = 2 x 2 x 2 x 3 56 = 2 x 2 x 2 x 7 70 = 2 x 5 x 7 54 = 2 x 3 x 3 x 3 Hence in expressions (b) and (c), prime factorization has been done.

In which of the following expressions, prime factorization has been done:
(a) 24 = $2 \times 3 \times 4$
(b) 56 = $7 \times 2 \times 2 \times 2$
(c) 70 = $2 \times 5 \times 7$
(d) 54 = $2 \times 3 \times 9$

Prime factorization of:

24 = 2 x 2 x 2 x 3

56 = 2 x 2 x 2 x 7

70 = 2 x 5 x 7

54 = 2 x 3 x 3 x 3

Hence in expressions (b) and (c), prime factorization has been done.