77 is composite. The numbers that divide 77 completely are 1, 2, 43, and 77. These are the factors of 77.

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Last updated on December 1st, 2024

Is 77 a Prime Number?

Q: ’How many prime numbers are there between 1 and 50?

We can easily find the prime numbers between 1 and 80 using the prime number chart. The prime numbers between 1–50 are 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, and 47.

Q: Why is ‘0’ not prime?

Prime numbers are natural numbers greater than 1. Hence, ‘0’ is not a prime number.

Q: What are the prime factors of 77?

The prime factors of 77 are 7 and 11. These numbers have only two factors. The prime numbers are the prime factors themselves.

Q: Is 72 divisible by 3?

72 is completely divisible by 3 because the quotient is a whole number. If the sum of the digits is a multiple of 3, then that number is completely divisible by 3. Here, the sum of the digits of 72 is 9 (7+2).

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Do you feel like checking for prime numbers can be tricky? Determining a prime number is easy. Prime numbers are used in encryption. Here, we discuss the topic called ‘Is 77 a prime number?’.

Why is 77 not a Prime Number?

Since 77 has 4 factors, it is not a prime number. The basic methods to check if a number is prime are the counting divisors method, divisibility method, prime number chart, and prime factorization.

$is 77 a prime number$

Using the Counting Divisors Method

This method will find the total number of divisors of the given number. If there are more than two divisors, then the given number is composite, not prime.

The divisors of 77 = 1, 7, 11, 77

Therefore, 77 is not prime

Using the Divisibility Test Method

The divisibility method determines whether a number is composite or not. Make use of the divisibility rule of 2 (if the number is even), the divisibility rule of 3 (if the sum of digits is a multiple of 3), and so on.

The number 77 is a multiple of 11, we divide 77 by 11 to find its divisors/factors. Hence, factors of 77 are 1, 7, 11, and 77.

Using Prime Number Chart

This method will check if a number is prime or not with the help of a prime number chart. Only if the number is seen in the chart, then it's a prime.

Using the Prime Factorization Method

Prime Factorization expresses the product of prime factors of composite numbers in exponential form. The prime factors of 77 are 7 and 11.

The prime factorization of 77 → 7¹× 11¹

Common Mistakes to Avoid When Determining if 77 is a Prime Number

FAQs for ‘Is 77 a Prime Number’

1.’How many prime numbers are there between 1 and 50?

2.Why is ‘0’ not prime?

3.What are the prime factors of 77?

4.Is 77 composite?

5.Is 72 divisible by 3?

Glossaries for ‘Is 77 a Prime Number’

Prime Number: Natural number with two factors. For example, numbers like 2, 11, 101, etc.

Composite Number: Numbers with more than two factors. For example, numbers like 69, 120, 169, and so on.

Prime Factorization: Method to express the product of prime factors using exponents.

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Hiralee Lalitkumar Makwana

About the Author

Hiralee Lalitkumar Makwana has almost two years of teaching experience. She is a number ninja as she loves numbers. Her interest in numbers can be seen in the way she cracks math puzzles and hidden patterns.