FALSE,
Prime factorization of 77= 7x11
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77 is not a prime number. 36 is not a prime number. 77 and 36 are mutually prime as the only common factor they have is 1.
No. 77 is not a prime number because it has more than two distinct divisors. 77 = 1 * 77 77 = 7 * 11
77 is a composite number
A prime number is a number that is divisible only by 1 and itself; it has no other factors. A composite number is a number that is divisible by more than 2 numbers. The factors of 77 are 1, 7, 11, and 77. Therefore, 77 is a composite number.
As a product of its prime factors: 7*11 = 77