101 LearnersLast updated on May 26th, 2025
Factors of 74
Factors are the numbers that divide any given number evenly without remainder. In daily life, we use factors for tasks like sharing the items equally, arranging things, etc. In this topic, we will learn about the factors of 74, how they are used in real life, and the tips to learn them quickly.
What are the Factors of 74?
The numbers that divide 74 evenly are known as factors of 74. A factor of 74 is a number that divides the number without remainder. The factors of 74 are 1, 2, 37, and 74. Negative factors of 74: -1, -2, -37, and -74. Prime factors of 74: 2 and 37. Prime factorization of 74: 2 × 37. The sum of factors of 74: 1 + 2 + 37 + 74 = 114
How to Find Factors of 74?
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 74. Identifying the numbers which are multiplied to get the number 74 is the multiplication method. Step 1: Multiply 74 by 1, 74 × 1 = 74. Step 2: Check for other numbers that give 74 after multiplying 2 × 37 = 74 Therefore, the positive factor pairs of 74 are: (1, 74) and (2, 37). All these factor pair result in 74. 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 results as whole numbers as factors. Factors can be calculated by following a simple division method - Step 1: Divide 74 by 1, 74 ÷ 1 = 74. Step 2: Continue dividing 74 by the numbers until the remainder becomes 0. 74 ÷ 1 = 74 74 ÷ 2 = 37 Therefore, the factors of 74 are: 1, 2, 37, 74.
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 74 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1. 74 ÷ 2 = 37 37 ÷ 37 = 1 The prime factors of 74 are 2 and 37. The prime factorization of 74 is: 2 × 37.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows - Step 1: Firstly, 74 is divided by 2 to get 37. Step 2: 37 is a prime number and cannot be divided further. So, the prime factorization of 74 is: 2 × 37. 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 74: (1, 74) and (2, 37). Negative factor pairs of 74: (-1, -74) and (-2, -37).
Common Mistakes and How to Avoid Them in Factors of 74
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 the factors for every word. Always remember to include 1 and the number itself. For example, in factors of 74, 1 and 74 are also factors.
Factors of 74 Examples
Problem 1
A gardener has 74 flowers and wants to place them into vases. If each vase can hold 2 flowers, how many vases does she need?
She needs 37 vases.
Explanation
To divide the flowers equally, we need to divide the total flowers by the number each vase can hold. 74/2 = 37
Problem 2
A movie theater has 74 seats. If each row must have exactly 37 seats, how many rows are there?
There are 2 rows.
Explanation
To find the number of rows, we use the formula: Total seats = seats per row × number of rows 74 = 37 × number of rows To find the number of rows, divide the total seats by seats per row. 74/37 = 2
Problem 3
A library has 74 books. If they are arranged on shelves with 1 book per shelf, how many shelves are needed?
74 shelves are needed.
Explanation
To find the number of shelves needed, divide the total number of books by the number of books per shelf. 74/1 = 74
Problem 4
A factory produces 74 widgets every hour. If the widgets are packed in boxes of 2, how many boxes are filled in an hour?
37 boxes are filled.
Explanation
Dividing the widgets by the number of widgets per box gives the number of boxes. 74/2 = 37
Problem 5
There are 74 students in a class. If each group can have only 1 student, how many groups will there be?
There will be 74 groups.
Explanation
Divide the total number of students by the number per group. 74/1 = 74
FAQs on Factors of 74
1.What are the factors of 74?
2.Mention the prime factors of 74.
3.Is 74 a multiple of 2?
4.Mention the factor pairs of 74?
5.What is the square of 74?
6.How can children in United States use numbers in everyday life to understand Factors of 74?
7.What are some fun ways kids in United States can practice Factors of 74 with numbers?
8.What role do numbers and Factors of 74 play in helping children in United States develop problem-solving skills?
9.How can families in United States create number-rich environments to improve Factors of 74 skills?
Important Glossaries for Factor of 74
Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 74 are 1, 2, 37, and 74. Prime factors: The factors which are prime numbers. For example, 2 and 37 are prime factors of 74. Factor pairs: Two numbers in a pair that are multiplied to give the original number are called factor pairs. For example, the factor pairs of 74 are (1, 74) and (2, 37). Prime factorization: The process of breaking down a number into its prime factors. For example, the prime factorization of 74 is 2 × 37. Negative factors: Factors of a number that are negative. For example, the negative factors of 74 are -1, -2, -37, and -74.
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About BrightChamps in United States
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.
