100 LearnersLast updated on May 26th, 2025
Factors of 874
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 874, how they are used in real life, and the tips to learn them quickly.
What are the Factors of 874?
The numbers that divide 874 evenly are known as factors of 874.
A factor of 874 is a number that divides the number without a remainder.
The factors of 874 are 1, 2, 19, 23, 38, 46, 437, and 874.
Negative factors of 874: -1, -2, -19, -23, -38, -46, -437, and -874.
Prime factors of 874: 2, 19, and 23.
Prime factorization of 874: 2 × 19 × 23.
The sum of factors of 874: 1 + 2 + 19 + 23 + 38 + 46 + 437 + 874 = 1440
How to Find Factors of 874?
Factors can be found using different methods. Mentioned below are some commonly used methods:
- Finding factors using multiplication
- Finding factors using the division method
- Prime factors and Prime factorization
Finding Factors Using Multiplication
To find factors using multiplication, we need to identify the pairs of numbers multiplied to give 874. Identifying the numbers which are multiplied to get the number 874 is the multiplication method.
Step 1: Multiply 874 by 1, 874 × 1 = 874.
Step 2: Check for other numbers that give 874 after multiplying
2 × 437 = 874
19 × 46 = 874
23 × 38 = 874
Therefore, the positive factor pairs of 874 are: (1, 874), (2, 437), (19, 46), and (23, 38).
For every positive factor, there is a negative factor.
Finding Factors Using Division Method
Dividing the given numbers with 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 a simple division method
Step 1: Divide 874 by 1, 874 ÷ 1 = 874.
Step 2: Continue dividing 874 by the numbers until the remainder becomes 0.
874 ÷ 1 = 874
874 ÷ 2 = 437
874 ÷ 19 = 46
874 ÷ 23 = 38
Therefore, the factors of 874 are: 1, 2, 19, 23, 38, 46, 437, 874.
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 874 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
874 ÷ 2 = 437
437 ÷ 19 = 23
23 ÷ 23 = 1
The prime factors of 874 are 2, 19, and 23.
The prime factorization of 874 is: 2 × 19 × 23.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows
Step 1: Firstly, 874 is divided by 2 to get 437.
Step 2: Now divide 437 by 19 to get 23.
Step 3: Since 23 is a prime number, it cannot be divided further. So, the prime factorization of 874 is: 2 × 19 × 23.
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 874: (1, 874), (2, 437), (19, 46), and (23, 38).
Negative factor pairs of 874: (-1, -874), (-2, -437), (-19, -46), and (-23, -38).
Common Mistakes and How to Avoid Them in Factors of 874
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 number. Always remember to include 1 and the number itself.
For example, in factors of 874, 1 and 874 are also factors.
Factors of 874 Examples
Problem 1
There are 874 apples and 2 baskets. How will you divide them equally?
Each basket will have 437 apples.
Explanation
To divide the apples equally, we need to divide the total apples by the number of baskets.
874/2 = 437
Problem 2
A rectangular garden has a length of 23 meters, and the total area is 874 square meters. Find the width.
38 meters.
Explanation
To find the width of the garden, we use the formula, Area = length × width
874 = 23 × width
To find the value of width, we need to divide both sides by 23.
874/23 = width
Width = 38.
Problem 3
There are 19 crates and 874 oranges. How many oranges will be in each crate?
Each crate will have 46 oranges.
Explanation
To find the oranges in each crate, divide the total oranges by the number of crates.
874/19 = 46
Problem 4
In a library, there are 874 books, and 46 shelves. How many books are there on each shelf?
There are 19 books on each shelf.
Explanation
Dividing the books by the total shelves, we will get the number of books on each shelf.
874/46 = 19
Problem 5
874 chairs need to be arranged in 23 rows. How many chairs will go in each row?
Each row will have 38 chairs.
Explanation
Divide the total chairs by the number of rows.
874/23 = 38
FAQs on Factors of 874
1.What are the factors of 874?
2.Mention the prime factors of 874.
3.Is 874 a multiple of 19?
4.Mention the factor pairs of 874?
5.What is the square of 874?
6.How can children in Vietnam use numbers in everyday life to understand Factors of 874?
7.What are some fun ways kids in Vietnam can practice Factors of 874 with numbers?
8.What role do numbers and Factors of 874 play in helping children in Vietnam develop problem-solving skills?
9.How can families in Vietnam create number-rich environments to improve Factors of 874 skills?
Important Glossaries for Factors of 874
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 874 are 1, 2, 19, 23, 38, 46, 437, and 874.
- Prime factors: The factors which are prime numbers. For example, 2, 19, and 23 are prime factors of 874.
- 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 874 are (1, 874), (2, 437), etc.
- Negative factors: These are the negative counterparts of the positive factors. For instance, -1, -2, -19, -23, -38, -46, -437, and -874 are negative factors of 874.
- Prime factorization: The expression of a number as a product of its prime factors. For example, the prime factorization of 874 is 2 × 19 × 23.
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About BrightChamps in Vietnam
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.
