answersLogoWhite

0

If you can't see the picture sorry I'm a sixth grader. 71 is a Prime number because, it only has two factors 71 and 1 explain further I will. 71 is a prime number because it is a whole number greater than 1 that can only be divided evenly by 1 and itself. Its only factors are 1 and 71. Since it has exactly two distinct factors, it meets the definition of a prime number. 71 is a prime number because it is a whole number greater than 1 that can only be divided evenly by 1 and itself. Its only factors are 1 and 71. Since it has exactly two distinct factors, it meets the definition of a prime number. To test if a number is prime, you can use the trial division method: divide the number by every integer from 2 up to its square root. If any of these divisions result in a whole number with no remainder, the number is composite.

Here is how the trial division works for 71:

Find the square root of 71: The square root of 71 is approximately 8.43.

Test for divisibility by primes less than 8.43: You only need to check the prime 71 ÷ 3 = 23.66... (not an integer)

71 ÷ 5 = 14.2 (not an integer)

71 ÷ 7 = 10.14... (not an integer)

Conclusion: Since 71 is not evenly divisible by any of the primes less than its square root, it is a prime number. numbers: 2, 3, 5, and 7.

71 ÷ 2 = 35.5 (not an integer)

User Avatar

Randall Burt

Lvl 2
3w ago

What else can I help you with?