72 as a product of its prime factors can be represented as - -3-3- 2-33-2- 2-32-2- 3-23-3- 2-2

The correct option is B 3^2× 2^3We have 72 = 9×8. 9 and 8 can be represented as a product of their prime factors. 9 = 3 nbsp;× 3 and 8 = 2 × 2 nbsp;× 2 ∴ ...

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Standard VIII

Mathematics

Factors of Natural Numbers

72 as a produ...

Question

72 as a product of its prime factors can be represented as ______ .

3^{3} \times 2^{3}

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3^{2} \times 2^{3}

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2^{2} \times 3^{2}

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3^{3} \times 2^{2}

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Solution

The correct option is B $3^{2} \times 2^{3}$
We have 72 = 9 $\times$ 8.
9 and 8 can be represented as a product of their prime factors.
$9 = 3 \times 3 and 8 = 2 \times 2 \times 2$
$∴ 72 = 9 \times 8 = 3 \times 3 \times 2 \times 2 \times 2 = 3^{2} \times 2^{3}$

Suggest Corrections

72 as a product of its prime factors can be represented as ______ .

The correct option is B 32×23We have 72 = 9×8. 9 and 8 can be represented as a product of their prime factors. 9=3×3 and 8=2×2×2 ∴72=9×8 =3×3×2×2×2 =32×23

The correct option is B $3^{2} \times 2^{3}$
We have 72 = 9 $\times$ 8.
9 and 8 can be represented as a product of their prime factors.
$9 = 3 \times 3 and 8 = 2 \times 2 \times 2$
$∴ 72 = 9 \times 8 = 3 \times 3 \times 2 \times 2 \times 2 = 3^{2} \times 2^{3}$