Question

1.
2.
3.
4.
Answer (Detailed Solution Below)

Option 3 : $60$ / $60$

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Detailed Solution

सही उत्तर $60$ / $60$ है।

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Question:

How many distinct factors does the number $2^4 \times 3^3 \times 5^2$ have? / संख्या $2^4 \times 3^3 \times 5^2$ के कितने भिन्न गुणनखंड हैं?

1.
$36$ / $36$
2.
$48$ / $48$
3.
$60$ / $60$
4.
$120$ / $120$

Correct Answer: $60$ / $60$

Number of factors $= (4+1)(3+1)(2+1) = 5 \times 4 \times 3 = 60$. / गुणनखंडों की संख्या $= (4+1)(3+1)(2+1) = 5 \times 4 \times 3 = 60$।

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