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

The correct option is B 105 = 3 nbsp;× nbsp;5 nbsp;× nbsp;7 72 = 2 × 2 × 2 × 3 × 3 105 = 3 × 5 × 7 625 = 5 × 5 × 5 × 5 162 = 2 × 3 × 3 × 3 × 3 Hence, ...

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Byju's Answer

Standard VI

Mathematics

Prime Factorisation by Division 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) $(\frac{2}{3} \times \frac{- 6}{7}) \times \frac{3}{5} = (\frac{- 6}{7} \times \frac{2}{3}) \times \frac{3}{5}$

Rationalise the denominator and simplify

(1)

(2)

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(13)

${(\frac{2}{3})}^{3} \times {(\frac{5}{7})}^{3}$ is equal to

$(a) {(\frac{2}{3} \times \frac{5}{7})}^{9}$
$(b) {(\frac{2}{3} \times \frac{5}{7})}^{6}$
$(c) {(\frac{2}{3} \times \frac{5}{7})}^{3}$
$(d) {(\frac{2}{3} \times \frac{5}{7})}^{0}$

Add (i) $(2 \sqrt{3} - 5 \sqrt{2}) a n d (\sqrt{3} + 2 \sqrt{2})$

(ii) $(2 \sqrt{2} + 5 \sqrt{3} - 7 \sqrt{5}) a n d (3 \sqrt{3} - \sqrt{2} + \sqrt{5})$

(iii) $(\frac{2}{3} \sqrt{7} - \frac{1}{2} \sqrt{2} + 6 \sqrt{11}) a n d (\frac{1}{3} \sqrt{7} + \frac{3}{2} \sqrt{2} - \sqrt{11})$

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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