(100!) को विभाजित करने वाली (7) की अधिकतम घात क्या है?

What is the highest power of (7) that divides (100!)?

Author: Muft Shiksha Editorial Team Published:
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Correct Answer

C. (16)

Explanation

Simple Explanation

घात \( \left\lfloor\frac{100}{7}\right\rfloor+\left\lfloor\frac{100}{49}\right\rfloor=16 \) है। उच्च घातों जैसे (49) का योगदान जरूर जोड़ें। / The exponent is \( \left\lfloor\frac{100}{7}\right\rfloor+\left\lfloor\frac{100}{49}\right\rfloor=16 \). Always add the contribution of higher powers such as (49).

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FAQs

Mathematics Answer, Explanation and Revision Hints

(100!) को विभाजित करने वाली (7) की अधिकतम घात क्या है? / What is the highest power of (7) that divides (100!)?

Correct Answer: C. (16). Explanation: घात \( \left\lfloor\frac{100}{7}\right\rfloor+\left\lfloor\frac{100}{49}\right\rfloor=16 \) है। उच्च घातों जैसे (49) का योगदान जरूर जोड़ें। / The exponent is \( \left\lfloor\frac{100}{7}\right\rfloor+\left\lfloor\frac{100}{49}\right\rfloor=16 \). Always add the contribution of higher powers such as (49).