122 LearnersLast updated on May 26th, 2025
Factors of 383
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 383, how they are used in real life, and the tips to learn them quickly.
What are the Factors of 383?
The numbers that divide 383 evenly are known as factors of 383. A factor of 383 is a number that divides the number without remainder.
The factors of 383 are 1 and 383.
Negative factors of 383: -1 and -383.
Prime factors of 383: 383.
Prime factorization of 383: 3831.
The sum of factors of 383: 1 + 383 = 384
How to Find Factors of 383?
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 383. Identifying the numbers which are multiplied to get the number 383 is the multiplication method.
Step 1: Multiply 383 by 1, 383 × 1 = 383.
Step 2: Check for other numbers that give 383 after multiplying. Since 383 is a prime number, the only multiplication that results in 383 is 1 × 383 and -1 × -383. Therefore, the positive factor pair of 383 is: (1, 383).
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 383 by 1, 383 ÷ 1 = 383.
Step 2: Continue dividing 383 by the numbers until the remainder becomes 0.
383 ÷ 1 = 383
383 ÷ 383 = 1
Therefore, the factors of 383 are: 1 and 383.
Prime Factors and Prime Factorization
The factors can be found by dividing it with a prime number. 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 383 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1. Since 383 is a prime number, it only divides evenly by itself and 1.
The prime factorization of 383 is: 383.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows
Step 1: Since 383 is a prime number, it cannot be divided further except by 1 and itself. So, the prime factorization of 383 is: 383.
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 pair of 383: (1, 383).
Negative factor pair of 383: (-1, -383).
Common Mistakes and How to Avoid Them in Factors of 383
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 383, 1 and 383 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 383 consist of -1 and -383.
Mistake 3
Including the Fraction
Children might sometimes add fractions as a factor. Only whole numbers can be factors.
For example, thinking 1.5 as a factor, because 383/1.5 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 factors of 383 are prime numbers. 383 is a prime number itself, but its factors are 1 and 383.
Mistake 5
Mistake in Factorization
Children might skip steps in factorization and end up writing wrong factors.
For example, not recognizing that 383 is a prime number and incorrectly trying to break it down further.
Factors of 383 Examples
Problem 1
There are 383 seeds, and they need to be placed in 1 pot. How many seeds will each pot contain?
383 seeds.
Explanation
To divide the seeds equally, we need to divide the total seeds by the number of pots.
383/1 = 383
Problem 2
A page has a total of 383 lines, and each line contains exactly 1 word. How many words are there on the page?
383 words.
Explanation
To find the number of words, we multiply the total lines by the number of words per line.
383 × 1 = 383
Problem 3
There are 383 apples, and they need to be distributed among 383 people. How many apples will each person get?
Each person will get 1 apple.
Explanation
To find the apples each person gets, divide the total apples by the number of people.
383/383 = 1
Problem 4
A ribbon is 383 meters long, and it needs to be cut into 1-meter pieces. How many pieces can be obtained?
383 pieces.
Explanation
Dividing the ribbon by the length of each piece, we get the number of pieces.
383/1 = 383
Problem 5
A baker has 383 grams of flour and needs to use all of it for a single cake. How much flour will be in the cake?
383 grams.
Explanation
Since the entire amount of flour is used for one cake, the cake contains 383 grams of flour.
FAQs on Factors of 383
1.What are the factors of 383?
2.Mention the prime factors of 383.
3.Is 383 a multiple of 1?
4.Mention the factor pair of 383?
5.Is 383 a prime number?
6.How can children in India use numbers in everyday life to understand Factors of 383?
7.What are some fun ways kids in India can practice Factors of 383 with numbers?
8.What role do numbers and Factors of 383 play in helping children in India develop problem-solving skills?
9.How can families in India create number-rich environments to improve Factors of 383 skills?
Important Glossaries for Factors of 383
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 383 are 1 and 383.
- Prime factors: The factors which are prime numbers. For example, 383 is a prime factor of itself.
- Factor pairs: Two numbers in a pair that are multiplied to give the original number are called factor pairs. For example, the factor pair of 383 is (1, 383).
- Prime number: A number greater than 1 with no divisors other than 1 and itself. For example, 383 is a prime number.
- Negative factors: Factors that are negative counterparts of positive factors. For example, the negative factors of 383 are -1 and -383.
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About BrightChamps in India
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.
