131 LearnersLast updated on May 26th, 2025
Factors of 930
Factors are the numbers that divide any given number evenly without a 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 930, how they are used in real life, and tips to learn them quickly.
What are the Factors of 930?
The numbers that divide 930 evenly are known as factors of 930. A factor of 930 is a number that divides the number without a remainder. The factors of 930 are 1, 2, 3, 5, 6, 10, 15, 31, 62, 93, 155, 186, 310, 465, and 930.
Negative factors of 930: -1, -2, -3, -5, -6, -10, -15, -31, -62, -93, -155, -186, -310, -465, and -930.
Prime factors of 930: 2, 3, 5, and 31.
Prime factorization of 930: 2 × 3 × 5 × 31.
The sum of factors of 930: 1 + 2 + 3 + 5 + 6 + 10 + 15 + 31 + 62 + 93 + 155 + 186 + 310 + 465 + 930 = 2274
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How to Find Factors of 930?
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 that are multiplied to give 930. Identifying the numbers which are multiplied to get the number 930 is the multiplication method.
Step 1: Multiply 930 by 1, 930 × 1 = 930.
Step 2: Check for other numbers that give 930 after multiplying:
2 × 465 = 930
3 × 310 = 930
5 × 186 = 930
6 × 155 = 930
10 × 93 = 930
15 × 62 = 930
31 × 30 = 930
Therefore, the positive factor pairs of 930 are: (1, 930), (2, 465), (3, 310), (5, 186), (6, 155), (10, 93), (15, 62), and (31, 30). 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 930 by 1, 930 ÷ 1 = 930.
Step 2: Continue dividing 930 by the numbers until the remainder becomes 0.
930 ÷ 1 = 930
930 ÷ 2 = 465
930 ÷ 3 = 310
930 ÷ 5 = 186
930 ÷ 6 = 155
930 ÷ 10 = 93
930 ÷ 15 = 62
930 ÷ 31 = 30
Therefore, the factors of 930 are: 1, 2, 3, 5, 6, 10, 15, 31, 62, 93, 155, 186, 310, 465, 930.
Prime Factors and Prime Factorization
The factors can be found by dividing them with prime numbers. We can find the prime factors using the following methods:
- Using prime factorization
- Using a factor tree
Using Prime Factorization: In this process, prime factors of 930 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
930 ÷ 2 = 465
465 ÷ 3 = 155
155 ÷ 5 = 31
31 ÷ 31 = 1
The prime factors of 930 are 2, 3, 5, and 31. The prime factorization of 930 is: 2 × 3 × 5 × 31.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows:
Step 1: First, 930 is divided by 2 to get 465.
Step 2: Now divide 465 by 3 to get 155.
Step 3: Then divide 155 by 5 to get 31.
Step 4: Divide 31 by 31 to get 1. So, the prime factorization of 930 is: 2 × 3 × 5 × 31.
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 930: (1, 930), (2, 465), (3, 310), (5, 186), (6, 155), (10, 93), (15, 62), and (31, 30).
- Negative factor pairs of 930: (-1, -930), (-2, -465), (-3, -310), (-5, -186), (-6, -155), (-10, -93), (-15, -62), and (-31, -30).
Common Mistakes and How to Avoid Them in Factors of 930
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 930, 1 and 930 are also factors.
Mistake 2
Missing Negative Factors
We often mention only positive factors. There are also negative factors, always check whether you have mentioned negative factors. For example, the factors of 930 include -1, -2, -3, etc.
Mistake 3
Including the Fraction
Children might sometimes add fractions as factors. Only whole numbers can be a factor. For example, thinking 1.5 as a factor because 930/1.5 = 620, and it is not a whole number.
Mistake 4
Confusing Factors With Prime Numbers
Remember that factors can be any whole numbers, not only just primes. For example, thinking all the factors of 930 are prime numbers. For example, 2, 3, 5, and 31 are the prime factors of 930, but it has other factors like 6, 10.
Mistake 5
Mistake in Factorization
Children might skip steps in factorization and end up writing wrong factors. For example, not breaking 930 as 2 × 3 × 5 × 31 and missing all the key factors.
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Factors of 930 Examples
Problem 1
There are 93 students and 930 candies. How will they divide it equally?
They will get 10 candies each.
Explanation
To divide the candies equally, we need to divide the total candies by the number of students.
930/93 = 10
Problem 2
A garden is rectangular, the length of the garden is 31 meters and the total area is 930 square meters. Find the width?
30 meters.
Explanation
To find the width of the garden, we use the formula,
Area = length × width
930 = 31 × width
To find the value of width, we need to shift 31 to the left side.
930/31 = width
Width = 30.
Problem 3
There are 155 gift bags and 930 candies. How many candies will be in each bag?
Each bag will have 6 candies.
Explanation
To find the candies in each bag, divide the total candies by the bags.
930/155 = 6
Problem 4
In a classroom, there are 186 students, and 930 pencils. How many pencils are there for each student?
There are 5 pencils for each student.
Explanation
Dividing the pencils by the total students, we will get the number of pencils for each student.
930/186 = 5
Problem 5
930 books need to be arranged in 31 shelves. How many books will go on each shelf?
Each of the shelves has 30 books.
Explanation
Divide total books by shelves.
930/31 = 30
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FAQs on Factors of 930
1.What are the factors of 930?
2.Mention the prime factors of 930.
3.Is 930 a multiple of 5?
4.Mention the factor pairs of 930.
5.What is the square of 930?
6.How can children in United States use numbers in everyday life to understand Factors of 930?
7.What are some fun ways kids in United States can practice Factors of 930 with numbers?
8.What role do numbers and Factors of 930 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 930 skills?
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Important Glossaries for Factors of 930
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 930 are 1, 2, 3, 5, 6, 10, 15, 31, 62, 93, 155, 186, 310, 465, and 930.
- Prime factors: The factors which are prime numbers. For example, 2, 3, 5, and 31 are prime factors of 930.
- 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 930 are (1, 930), (2, 465), etc.
- Prime factorization: The process of expressing a number as a product of its prime factors. For example, the prime factorization of 930 is 2 × 3 × 5 × 31.
- Multiplication method: A method to find factors by identifying pairs of numbers that multiply to give the original number.
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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.
