Choose the correct option.

72 = 2×2×2×3×3×3

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105=3×5×7

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625=5×5×5×5×5

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162= 2×3×3×3×3×7

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Solution

The correct option is B
105=3×5×7

72 = 2 × 2 × 2 × 3 × 3

105 = 3 × 5 × 7

625 = 5 × 5 × 5 × 5

162 = 2 × 3 × 3 × 3 × 3

Hence, only the factorisation of 105 is correct

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Similar questions

Simplify :

(i) $\frac{3 \sqrt{2} - 2 \sqrt{3}}{3 \sqrt{2} + 2 \sqrt{3}} + \frac{\sqrt{12}}{\sqrt{3} - \sqrt{2}}$

(ii) $\frac{7 + 3 \sqrt{5}}{3 + \sqrt{5}} - \frac{7 - 3 \sqrt{5}}{3 - \sqrt{5}}$

Q. How many 5s are there in the following number series which are immediately followed by 3 but not immediately preceded by 7?
2 1 5 3 2 5 3 8 5 5 6 8 7 3 3 5 7 7 5 3 6 5 3 2 5 7 3 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

Q. If 5 + 3 = 15, 5 – 3 = 8 and 5 ÷ 3 = 2, then 7 + 7 – 7 ÷ 7 = ?.

यदि 5 + 3 = 15, 5 – 3 = 8 तथा 5 ÷ 3 = 2, तब 7 + 7 – 7 ÷ 7 = ?

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Choose the correct option.

The correct option is B 105=3×5×7 72 = 2 × 2 × 2 × 3 × 3 105 = 3 × 5 × 7 625 = 5 × 5 × 5 × 5 162 = 2 × 3 × 3 × 3 × 3 Hence, only the factorisation of 105 is correct

The correct option is B
105=3×5×7

72 = 2 × 2 × 2 × 3 × 3

105 = 3 × 5 × 7

625 = 5 × 5 × 5 × 5

162 = 2 × 3 × 3 × 3 × 3

Hence, only the factorisation of 105 is correct