119 LearnersLast updated on May 26th, 2025
Factors of 385
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 385, how they are used in real life, and tips to learn them quickly.
What are the Factors of 385?
The numbers that divide 385 evenly are known as factors of 385. A factor of 385 is a number that divides the number without remainder.
The factors of 385 are 1, 5, 7, 11, 35, 55, 77, and 385.
Negative factors of 385: -1, -5, -7, -11, -35, -55, -77, and -385.
Prime factors of 385: 5, 7, and 11.
Prime factorization of 385: 5 × 7 × 11.
The sum of factors of 385: 1 + 5 + 7 + 11 + 35 + 55 + 77 + 385 = 576
How to Find Factors of 385?
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 385. Identifying the numbers which are multiplied to get the number 385 is the multiplication method.
Step 1: Multiply 385 by 1, 385 × 1 = 385.
Step 2: Check for other numbers that give 385 after multiplying
5 × 77 = 385
7 × 55 = 385
11 × 35 = 385
Therefore, the positive factor pairs of 385 are: (1, 385), (5, 77), (7, 55), and (11, 35). All these factor pairs result in 385. 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 that result in whole numbers as factors. Factors can be calculated by following the simple division method
Step 1: Divide 385 by 1, 385 ÷ 1 = 385.
Step 2: Continue dividing 385 by the numbers until the remainder becomes 0.
385 ÷ 1 = 385
385 ÷ 5 = 77
385 ÷ 7 = 55
385 ÷ 11 = 35
Therefore, the factors of 385 are: 1, 5, 7, 11, 35, 55, 77, 385.
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 385 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
385 ÷ 5 = 77
77 ÷ 7 = 11
11 ÷ 11 = 1
The prime factors of 385 are 5, 7, and 11.
The prime factorization of 385 is: 5 × 7 × 11.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows
Step 1: Firstly, 385 is divided by 5 to get 77.
Step 2: Now divide 77 by 7 to get 11.
Step 3: Here, 11 is a prime number that cannot be divided anymore. So, the prime factorization of 385 is: 5 × 7 × 11.
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 385: (1, 385), (5, 77), (7, 55), and (11, 35).
Negative factor pairs of 385: (-1, -385), (-5, -77), (-7, -55), and (-11, -35).
Common Mistakes and How to Avoid Them in Factors of 385
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 385, 1 and 385 are also factors.
Mistake 2
Missing Negative Factors
We have used only to mention positive factors every time. There are also negative factors, always check whether you have mentioned negative factors.
For example, the factors of 385 consist of -1, -5, -7, etc.
Mistake 3
Including the Fraction
Children might sometimes add fractions also as factors. Only whole numbers can be a factor.
For example, thinking 1.5 as a factor, because 385/1.5 = 256.667, 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 385 are prime numbers. For example, 5, 7, and 11 are the prime factors of 385, but it has other factors like 35, 55.
Mistake 5
Mistake in Factorization
Children might skip the steps in factorization and end up writing wrong factors.
For example, not breaking 385 as 5 × 7 × 11 and missing all the key factors.
Factors of 385 Examples
Problem 1
There are 11 groups and 385 students. How will they divide equally?
They will have 35 students in each group.
Explanation
To divide the students equally, we need to divide the total students with the number of groups.
385/11 = 35
Problem 2
A field is rectangular, the width of the field is 7 meters, and the total area is 385 square meters. Find the length?
55 meters.
Explanation
To find the length of the field, we use the formula, Area = length × width
385 = length × 7
To find the value of length, we need to divide 385 by 7.
385/7 = length
Length = 55.
Problem 3
There are 5 tables and 385 chairs. How many chairs will be at each table?
Each table will have 77 chairs.
Explanation
To find the chairs at each table, divide the total chairs by the number of tables.
385/5 = 77
Problem 4
In a project, there are 385 tasks, and it needs to be completed in 35 days. How many tasks are there per day?
There are 11 tasks per day.
Explanation
Dividing the tasks by the total days, we will get the number of tasks per day.
385/35 = 11
Problem 5
385 books need to be arranged in 7 shelves. How many books will go on each shelf?
Each of the shelves has 55 books.
Explanation
Divide total books by shelves.
385/7 = 55
FAQs on Factors of 385
1.What are the factors of 385?
2.Mention the prime factors of 385.
3.Is 385 a multiple of 7?
4.Mention the factor pairs of 385?
5.What is the square of 385?
6.How can children in Vietnam use numbers in everyday life to understand Factors of 385?
7.What are some fun ways kids in Vietnam can practice Factors of 385 with numbers?
8.What role do numbers and Factors of 385 play in helping children in Vietnam develop problem-solving skills?
9.How can families in Vietnam create number-rich environments to improve Factors of 385 skills?
Important Glossaries for Factor of 385
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 385 are 1, 5, 7, 11, 35, 55, 77, and 385.
- Prime factors: The factors which are prime numbers. For example, 5, 7, and 11 are prime factors of 385.
- 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 385 are (1, 385), (5, 77), etc.
- Prime factorization: Breaking down a number into its prime factors. For example, the prime factorization of 385 is 5 × 7 × 11.
- Multiplication method: A method to find factors by identifying pairs of numbers that multiply to the original number. For example, (11, 35) is a pair for 385.
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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.
