Factors of 77
Did you know the number 77 is a composite number which is a palindrome having infinite multiples and can be expressed as a product of two prime numbers 7 and 11? In this lesson, we will calculate the factors of 77, prime factors of 77, and factors of 77 in pairs along with solved examples for a better understanding.
 Factors of 77: 1, 7, 11 and 77
 Prime Factorization of 77: 77 = 7 × 11
1.  What Are the Factors of 77? 
2.  How to Calculate Factors of 77? 
3.  Factors of 77 by Prime Factorization 
4.  Factors of 77 in Pairs 
5.  FAQs on Factors of 77 
What Are the Factors of 77?
Factors of 77 are those numbers that exactly divide it and gives the remainder as 0.
For example, 77/1 = 77
We get 77 as a quotient and 0 as a remainder. This means 77 is divisible by 1.
Hence, the factors of 77 are, 1, 7, 11, and 77.
How to Calculate the Factors of 77?
We can use different methods to find factors of 77, like prime factorization and the division method.
In factors of 77 by prime factorization, we express 77 as a product of its prime factors and in the division method, we see what numbers divide 77 exactly without a remainder.
The division shows that the number 77 is exactly divisible by 1, 7, 11, and 77.
Hence, factors of 77 by division method are:
Hence, the factors of 77 are 1, 7, 11, and 77.
Explore factors using illustrations and interactive examples.
 Factors of 78  The factors of 78 are 1, 2, 3, 6, 13, 26, 39, 78
 Factors of 15  The factors of 15 are 1, 3, 5, 15
 Factors of 91  The factors of 91 are 1, 7, 13, 91
 Factors of 70  The factors of 70 are 1, 2, 5, 7, 10, 14, 35, 70
 Factors of 33  The factors of 33 are 1, 3, 11, 33
 Factors of 49  The factors of 49 are 1, 7, 49
Factors of 77 by Prime Factorization
The factors of 77 can be represented as:
The factors of 77 by prime factorization are 1, 7, 11, and 77.
Here, 1, 7, and 11 are prime factors of 77.
Think Tank:
 Can you think of some negative factors of 77?
 Think about the multiple of 11 which is also a factor of 77.
Factors of 77 in Pairs
The pair of numbers which, when multiplied, give 77 is known as a pair factor of 77.
Therefore, factors of 77 in pairs are (1, 77), (7, 11), (11, 7), and (77, 1).
Important Notes:
 The numbers which we multiply to get 77 are the factors of 77.
 Factors of 77 are 1, 7, 11, and 77.
 1 is a universal factor. It is a factor of all numbers. The number itself is a factor of the number as it divides itself exactly.
 Factors of 77 in pair are (1, 77), (7, 11), (11, 7), and (77, 1).
Factors of 77 Solved Examples

Example 1: Which number on multiplying with (7) gives 77?
Solution:
To find this, we need to divide 77 by (7) = 77/(7) = 11
Hence, 11 on multiplying with 7 gives 77 
Example 2: Help Andy list the factors of 77 and its pair factors.
Solution:
Factors of 77 are the numbers that divide 77 exactly without any remainder. They are: 1, 7, 11, and 77.
Pair factors are the pairs of two numbers which, when multiplied, give 77. We know that:
1 × 77 = 77
7 × 11 = 77
11 × 7 = 77
77 × 1 = 77
Hence, pair factors of 77 are (1, 77), (7, 11), (11, 7), and (77, 1).
FAQs on Factors of 77
What are the factors of 77?
The factors of 77 are, 1, 7, 11, and 77.
Is 77 a prime number or a composite number?
A prime number does not have a factor other than 1 and itself.
A composite number has factors other than 1 and itself.
As 77 = 7 × 11, it has two factors 7 and 11. Hence, it is a composite number.
What are the factors of 71?
Factors of 71 are 71 × 1 = 71 and 1.
What are the positive factors of 77?
Factors of 77 are 1, 7, 11, and 77.
What are the common factors of 77 and 203?
Factors of 77 = 1, 7, 11, 77
Factors of 203 = 1, 7, 29, 203
The common factors of 77 and 203 are 1 and 7.
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