102 LearnersLast updated on May 26th, 2025
Factors of 889
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 889, how they are used in real life, and the tips to learn them quickly.
What are the Factors of 889?
The numbers that divide 889 evenly are known as factors of 889.
A factor of 889 is a number that divides the number without remainder. The factors of 889 are 1, 7, 127, and 889.
Negative factors of 889: -1, -7, -127, and -889.
Prime factors of 889: 7 and 127.
Prime factorization of 889: 7 × 127.
The sum of factors of 889: 1 + 7 + 127 + 889 = 1024
How to Find Factors of 889?
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 889. Identifying the numbers which are multiplied to get the number 889 is the multiplication method. Step 1: Multiply 889 by 1, 889 × 1 = 889. Step 2: Check for other numbers that give 889 after multiplying 7 × 127 = 889 Therefore, the positive factor pairs of 889 are: (1, 889) and (7, 127). All these factor pairs result in 889. 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 a simple division method - Step 1: Divide 889 by 1, 889 ÷ 1 = 889. Step 2: Continue dividing 889 by the numbers until the remainder becomes 0. 889 ÷ 1 = 889 889 ÷ 7 = 127 Therefore, the factors of 889 are: 1, 7, 127, 889.
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 889 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1. 889 ÷ 7 = 127 127 ÷ 127 = 1 The prime factors of 889 are 7 and 127. The prime factorization of 889 is: 7 × 127.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows - Step 1: Firstly, 889 is divided by 7 to get 127. Step 2: Now divide 127 by 127 to get 1. Here, 127 is the smallest prime number, and cannot be divided anymore. So, the prime factorization of 889 is: 7 × 127. 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 889: (1, 889) and (7, 127). Negative factor pairs of 889: (-1, -889) and (-7, -127).
Common Mistakes and How to Avoid Them in Factors of 889
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 889, 1 and 889 are also factors.
Factors of 889 Examples
Problem 1
A group of 7 people wants to share a 889-page book equally. How many pages will each person read?
Each person will read 127 pages.
Explanation
To divide the pages equally, we need to divide the total pages by the number of people. 889/7 = 127
Problem 2
A rectangular garden has a length of 127 meters and a total area of 889 square meters. Find the width?
7 meters.
Explanation
To find the width of the garden, we use the formula, Area = length × width 889 = 127 × width To find the value of width, we need to shift 127 to the left side. 889/127 = width Width = 7.
Problem 3
There are 889 pencils and 127 boxes. How many pencils will be in each box?
Each box will have 7 pencils.
Explanation
To find the pencils in each box, divide the total pencils by the number of boxes. 889/127 = 7
Problem 4
889 students are to be divided into 7 groups. How many students are there in each group?
There are 127 students in each group.
Explanation
Dividing the students by the total groups, we will get the number of students in each group. 889/7 = 127
Problem 5
A library has 889 books that need to be arranged in 127 shelves. How many books will go on each shelf?
Each of the shelves has 7 books.
Explanation
Divide total books by shelves. 889/127 = 7
FAQs on Factors of 889
1.What are the factors of 889?
2.Mention the prime factors of 889.
3.Is 889 a multiple of 7?
4.Mention the factor pairs of 889?
5.What is the square of 889?
6.How can children in Vietnam use numbers in everyday life to understand Factors of 889?
7.What are some fun ways kids in Vietnam can practice Factors of 889 with numbers?
8.What role do numbers and Factors of 889 play in helping children in Vietnam develop problem-solving skills?
9.How can families in Vietnam create number-rich environments to improve Factors of 889 skills?
Important Glossaries for Factors of 889
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 889 are 1, 7, 127, and 889.
- Prime Factors: The factors which are prime numbers. For example, 7 and 127 are prime factors of 889.
- 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 889 are (1, 889) and (7, 127).
- Multiplication Method: A method of finding factors by identifying pairs of numbers that multiply to give the target number.
- Division Method: A method of determining factors by dividing the number by whole numbers and checking for a remainder of zero.
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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.
