Choose the correct option-72 - 2-2-2-3-3-3-105-3-5-7-162- 2-3-3-3-3-7-625-5-5-5-5-5-

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Byju's Answer

Standard VII

Mathematics

Prime Factorization Method

Choose the co...

Question

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

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) $(\frac{2}{3} \times \frac{- 6}{7}) \times \frac{3}{5} = (\frac{- 6}{7} \times \frac{2}{3}) \times \frac{3}{5}$