Question What is the prime factorization of 56 ? Use the \( \times \) button or type the * key on your keyboard. For exponents, use the \( a^{b} \) button or the key on your keyboard. If a number is prime, enter the number itself. Answer Attempt 1 out of 2 \( 56= \)
Solución de tutoría real
Responder
Solución
Revisado y aprobado por el equipo de tutoría de UpStudy
Bonus Knowledge
To find the prime factorization of 56, we start by dividing it by the smallest prime number, which is 2. Since 56 is even, we have: \( 56 \div 2 = 28 \). Next, we divide 28 by 2 again: \( 28 \div 2 = 14 \). Dividing 14 by 2 gives us: \( 14 \div 2 = 7 \). Now, we can’t divide by 2 anymore, but 7 is a prime number. This gives us the prime factorization: \( 56 = 2^3 \times 7 \). Also, did you know that prime factorization is not just a math concept? It’s like the secret sauce for cryptography! Many encryption algorithms rely on the difficulty of breaking down large numbers into their prime factors—making your online transactions super secure!