WebFind the maximum power of $24$ in $(48!)^2$ ? How to approach for such questions ? number-theory; discrete-mathematics; Share. ... $\begingroup$ calculate the highest power of $2$ and $3$ that divide $48!$ using polignacs formula. $\endgroup$ – Asinomás. Dec 29, 2016 at 4:30. 1 $\begingroup$ math ... $48/3=16, 16/3=5$ (with remainder as $2 ... Web7 de abr. de 2024 · First, we will consider the factorial in terms of the power of 2. We will get the exponent as 12 if the power of 2 occurs twice and the power of 3 occurs once. Thus 48 times the exponent of 12 in the factorial 100!. Therefore, the exponent of 12 in 100! is 48. Thus, option (B) is the correct answer.

Find maximum power of a number that divides a factorial

Web15 de ago. de 2024 · For composite number, highest power is given by the power of the largest prime number in the prime factorization of the composite number. For n=15, … WebVolodymyr Oleksandrovych Zelenskyy (also transliterated as Zelensky or Zelenskiy; born 25 January 1978) is a Ukrainian politician and former comedian and actor who has served as the sixth and current president of Ukraine since 2024.. Born to a Ukrainian Jewish family, Zelenskyy grew up as a native Russian speaker in Kryvyi Rih, a major city of … how to show a book title

Exponents - Math is Fun

Web2 de fev. de 2024 · Step 1. Prime factorize the given number to find the prime factor and its highest power. Now, prime factorization of 24 = 2³ * 3. Step 2. The highest power of 2³ … WebAcoustic – a frequency known as The Mosquito, which is generally only audible to those under the age of 24. 25.1 kHz Acoustic – G 10, The highest pitch sang by Georgia Brown (Brazilian singer), who has a vocal range of 8 octaves. 10 5: 100 kHz: 740 kHz: The clock speed of the world's first commercial microprocessor, the Intel 4004 (1971) 10 6 how to show a character is uncomfortable