102 LearnersLast updated on May 26th, 2025
Factors of 71
Factors are the numbers that divide any given number evenly without remainder. In daily life, we use factors for tasks like sharing items equally, arranging things, etc. In this topic, we will learn about the factors of 71, how they are used in real life, and tips to learn them quickly.
What are the Factors of 71?
The numbers that divide 71 evenly are known as factors of 71. A factor of 71 is a number that divides the number without remainder. The factors of 71 are 1 and 71. Negative factors of 71: -1 and -71. Prime factors of 71: 71. Prime factorization of 71: 71 (since 71 is a prime number). The sum of factors of 71: 1 + 71 = 72
How to Find Factors of 71?
Factors can be found using different methods. Mentioned below are some commonly used methods: Finding factors using multiplication Finding factors using division method Prime factors and prime factorization
Finding Factors Using Multiplication
To find factors using multiplication, we need to identify the pairs of numbers that are multiplied to give 71. Identifying the numbers which are multiplied to get the number 71 is the multiplication method. Step 1: Multiply 71 by 1, 71 × 1 = 71. Step 2: Since 71 is a prime number, there are no other multiplication pairs. Therefore, the positive factor pairs of 71 are: (1, 71). For every positive factor, there is a negative factor.
Finding Factors Using Division Method
Dividing the given numbers with the whole numbers until the remainder becomes zero and listing out the numbers which result as whole numbers as factors. Factors can be calculated by following the simple division method - Step 1: Divide 71 by 1, 71 ÷ 1 = 71. Step 2: Since 71 is a prime number, dividing by any other number will not result in a whole number. Therefore, the factors of 71 are: 1 and 71.
Prime Factors and Prime Factorization
The factors can be found by dividing it with prime numbers. We can find the prime factors using the following methods: Using prime factorization Using factor tree Using Prime Factorization: In this process, prime factors of 71 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1. Since 71 is a prime number, it cannot be divided by any other prime number except itself. The prime factorization of 71 is: 71.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows - Since 71 is a prime number, it cannot be broken down further using a factor tree. Therefore, the prime factorization of 71 is: 71. Factor Pairs Two numbers that are multiplied to give a specific number are called factor pairs. Both positive and negative factors constitute factor pairs. Positive factor pairs of 71: (1, 71). Negative factor pairs of 71: (-1, -71).
Common Mistakes and How to Avoid Them in Factors of 71
Mistakes are common while finding factors. We can identify and correct those mistakes using the following common mistakes and the ways to avoid them.
Mistake 1
Forgetting the number itself and 1 is a factor
Children might forget to add the given number itself and 1 as a factor. The number itself and 1 are factors for every number. Always remember to include 1 and the number itself. For example, in factors of 71, 1 and 71 are also factors.
Factors of 71 Examples
Problem 1
You have 71 apples and want to give them equally to 71 people. How many apples does each person get?
Each person will get 1 apple.
Explanation
To divide the apples equally, we need to divide the total apples by the number of people. 71/71 = 1
Problem 2
You are planting trees. If you plant 1 tree each day and have a total of 71 trees, how many days will it take to plant all the trees?
It will take 71 days.
Explanation
To find the number of days, we use the formula, Number of trees = trees per day × number of days 71 = 1 × number of days Number of days = 71.
Problem 3
You have a single packet of 71 candies. How many candies do you give to 1 friend if you give the whole packet?
You give 71 candies.
Explanation
To determine the number of candies per friend, divide the total candies by the number of friends. 71/1 = 71
FAQs on Factors of 71
1.What are the factors of 71?
2.Mention the prime factors of 71.
3.Is 71 a prime number?
4.What are the factor pairs of 71?
5.How can children in United States use numbers in everyday life to understand Factors of 71?
6.What are some fun ways kids in United States can practice Factors of 71 with numbers?
7.What role do numbers and Factors of 71 play in helping children in United States develop problem-solving skills?
8.How can families in United States create number-rich environments to improve Factors of 71 skills?
Important Glossaries for Factors of 71
Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 71 are 1 and 71. Prime factors: The factors which are prime numbers. For example, 71 is a prime factor of itself. Factor pairs: Two numbers in a pair that are multiplied to give the original number are called factor pairs. For example, the factor pair of 71 is (1, 71). Prime number: A number greater than 1 that has no divisors other than 1 and itself. For example, 71 is a prime number. Negative factors: Factors that are negative numbers. For example, the negative factors of 71 are -1 and -71.
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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.
Fun Fact
: She loves to read number jokes and games.
