Final answer:
41 is a prime number, so its only prime factor is itself, 41. The number 46 has prime factors of 2 and 23, as it is divisible by 2, and the resulting quotient, 23, is also a prime number.
Step-by-step explanation:
The process of finding prime factors involves determining the prime numbers that multiply together to give the original number. For the number 41, this is quite straightforward, as 41 is itself a prime number. This means that its only prime factor is 41.
In contrast, the number 46 is a composite number, and its prime factorization is done by finding the smallest prime number that divides it evenly. Starting from the smallest prime, 2, we see that 46 is even and therefore divisible by 2. Dividing 46 by 2 gives us 23, which is also a prime number. Thus, the prime factors of 46 are 2 and 23.
The prime factors of 41 are 41 itself, as it is a prime number.
To find the prime factors of 46, we can start by dividing it by the smallest prime number, which is 2. 46 ÷ 2 = 23. So, the first prime factor of 46 is 2. Since 23 is also a prime number, we have found all the prime factors of 46.