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

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Solution

(a) 24 = 2 × 3 × 4

Since 4 is composite, prime factorisation has not been done.

(b) 56 = 7 × 2 × 2 × 2

Since all the factors are prime, prime factorisation has been done.

(c) 70 = 2 × 5 × 7

Since all the factors are prime, prime factorisation has been done.

(d) 54 = 2 × 3 × 9

Since 9 is composite, prime factorisation has not been done.

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Similar questions

2 \times 3 \times 4

7 \times 2 \times 2 \times 2

2 \times 5 \times 7

2 \times 3 \times 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) $54 = 2 \times 3 \times 9$

\frac{2 \times 6}{2} = \frac{8}{2} + \frac{4}{2}

Find the common factor of the expression: $6 x^{3} y^{4} z^{5} + 9 x^{5} y^{2} z^{6} + 24 x^{2} y^{7} z^{4}$ .

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