Factors of 71
Factors of 71 are the list of positive and negative whole numbers that can be divided evenly into 71. Negative factors of 71 are just factors with a negative sign. Like all prime numbers, 71 has only two factors  itself and 1. In this lesson, we are going to learn about the factors of 71, its prime factors and its factors in pairs. We are also going to solve examples that will help in better understanding.
 Factors of 71: 1 and 71
 Factors of 71: 1 and 71
 Prime Factorization of 71: 71
1.  What are Factors of 71? 
2.  How to Calculate Factors of 71? 
3.  Factors of 71 by Prime Factorization 
4.  Factors of 71 in Pairs 
5.  FAQsonFactorsof71 
What are Factors of 71?
Factors of a number 'n', are the numbers that completely divide it. It means that if the remainder in n/a is zero, then 'a' is the factor of 'n'. Let us find the factors of the number 71. Observe that:
 The positive numbers 1 and 71, divide 71 completely.
 The negative numbers 1, 71, divide 71 completely as well.
How to Calculate the Factors of 71?
 Factors of a number can be calculated by different methods.
 One of the methods is by dividing the number with the smallest prime number, which divides it completely, without any remainder.
 Since 71 is a prime number, it has only two factors, 1 and 71.
The factors of 71 are 1 and 71. Explore factors using illustrations and interactive examples:
 Factors of 72: The factors of 72 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, and 72.
 Factors of 180: The factors of 180 are 1 , 2, 3, 4, 5, 6, 9, 10,12,15,18, 20, 30, 36, 45, 60, 90 and 180
 Factors of 19: The factors of 19 are 1 and 19.
 Factors of 110: The factors of 110 are 1, 2, 5, 10,11, and 110.
 Factors of 196: The factors of 196 are 1, 2, 4, 7, 14, 28, 49, 98 and196.
Factors of 71 by Prime Factorization
Prime Factorization is to express a composite number as the product of its prime factors. We know that 71 = 1 × 71. Thus the prime factorization of 71 is only 71.
Factors of 71 in Pairs
The pair factors of 71 include a set of two numbers, which when multiplied together, give 71.
 1 × 71 = 71.The positive pair factor of 71 is: (1, 71)
 1 × 71 = 71. The negative pair factor of 71 is: (1, 71)
Important Notes:
 If a number has an odd number of factors, it is a perfect square.
 A number always has at least two factors, 1 and the number itself.
 The numbers that have more than 2 factors are called composite numbers.
 2 is the smallest prime number.
Factors of 71 Solved Examples

Example 1: Sam wants to write the common factors of 71 and 213. Can you help him out?
Solution:
The factors of 71 are 1 and 71. The factors of 213 are 1, 3, 71 and 213
Therefore, factors common to 71 and 213 are 1 and 71.

Example 2: Mathew says that (1, 71) is a factor pair of 71, while Samuel says (1, 71) is a factor pair of 71, who is correct?
Solution:
To check whether the above pairs are factor pairs of 71 or not, we need to multiply them and see if their product is 71:
 Mathew's factorpair is (1, 71). 1 × 71 = 71
 Samuel's factorpair is (1, 71) . 1 × 71 = 71
Therefore, Samuel is right.
FAQs on Factors of 71
What are the Factors of 71?
Factors of 71 are the numbers that make 71 on multiplication. 1 × 71 = 71. Hence 1 and 71 are the factors of 71.
What are the Common Factors of 71 and 72?
The factors of 72 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72 and the factors of 71 are 1 and 71.
Hence, the common factor of 71 and 72 = 1.
What is the Highest Factor of 71?
The factors of 71 are 1 and 71. The highest factor of 71 is 71.
Is 71 a Perfect Square?
71 is not a perfect square because the square root of 71 is 8.426, which is not an integer.
What are the Prime Factors of 71?
71 is the only prime factor of 71.
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