225 LearnersLast updated on May 26th, 2025
Factors of 2023
Factors of any number are the dividers or multipliers that can divide the number fully and can be multiplied together to produce the given product, 2023. Do you know, factors form the basic approach to solve some general mathematical procedures? This article will give you the insights of factors of 2023.
What are the Factors of 2023?
The factors of 2023 or the numbers which divide 2023 exactly are:
1,7,17,119,289, and 2023.
Negative factors of 2023: -1,-7,-17,-119,-289,-2023.
Prime factors of 2023: 7,17
Prime factorization of 2023: 7×172
The sum of factors of 2023: 1+7+17+119+289+2023= 2456
How to Find the Factors of 2023
For finding factors of 2023, we will be learning these below-mentioned methods:
Methods to Find the Factors of 2023
- Multiplication Method
- Division Method
- Prime Factor and Prime Factorization
- Factor Tree
Finding Factors using Multiplication
This particular method often finds the pair of factors which, on multiplication together, produces 2023. Let us find the pairs which, on multiplication, yields 2023.
- 1×2023=2023
- 7×289=2023
- 17×119=2023
So, factors of 2023 are: 1,7,17,119,289, and 2023.
Finding Factors using Division Method
The division method finds the factors that evenly divides the given number 2023. In this process, we have to divide 2023 by all possible natural numbers less than 2023 and check.
1,7,17,119,289, and 2023 are the only factors that the number 2023 has. So to verify the factors of 2023 using the division method, we just need to divide 2023 by each factor.
- 2023/1 =2023
- 2023/7=289
- 2023/17=119
- 2023/119=17
- 2023/289=7
- 2023/2023=1
Prime Factors and Prime Factorization
Prime Factorization is the easiest process to find prime factors. It decomposes 2023 into a product of its prime integers.
Prime Factors of 2023: 7,17.
Prime Factorization of 2023: 7×172
Factor tree
The number 2023 is written on top and two branches are extended.
Fill in those branches with a factor pair of the number above, i.e., 2023.
Continue this process until each branch ends with a prime factor (number).
The first two branches of the factor tree of 2023 are 7 and 289, then proceeding to 289, we get 17 in both the branches. So, now the factor tree for 2023 is achieved.
Factor Pairs
Positive pair factors: (1,2023), (7,289), (17,119).
Negative pair factors: (-1,-2023), (-7,-289), (-17,-119)
Common Mistakes and How to Avoid Them in Factors of 2023
Solving problems based on factors can, sometimes, lead to misconceptions among children. Let us check what the common errors are and how to avoid them.
Mistake 1
Factors might be larger than the given number.
Factors can never be larger than the given number, but multiples can be. You need to understand the concept that factors are integers which divide a given number perfectly, and multiples are the products we get when the original number is multiplied with different numbers.
Factors of 2023 Examples
Problem 1
The LCM of two numbers is 2023 and their GCF is 17. If one of the numbers is 289, find the other.
We know that the product of two numbers is equal to the product of their GCF and LCM.
⇒ 289× x = 2023×17
⇒ x =(2023×17) / 289
⇒ x = 119
Answer: The other number is 119.
Explanation
Using the concept of the product of two numbers being equal to the product of their GCF and LCM, we solved it.
Problem 2
Find the simplest form of square root of 2023.
√2023 = √(7×172) = 17√7
Answer: The simplest form of square root of 2023 is 17√7.
Explanation
Break down 2023 into its product of its prime factor and find its square root by grouping a pair of factors at a time, leaving the remaining single factors under radical.
Problem 3
Two trains leave a station at the same time. One leaves every 17 minutes and the other every 119 minutes. When will they leave together again?
Time-lapse of the 1st train: 17 minutes
Time-lapse of the 2nd train: 119 minutes
Prime factorization of 17: 17×1.
Prime factorization of 119: 7×17
LCM of 17 and 119: 7×17 = 119.
Both the trains will meet each other after 119 minutes.
Answer: 119 minutes
Explanation
To find the time again when two trains will meet, we have to find the LCM of the two given time-lapses. So, did prime factorization of both 17 and 119. The LCM is the product of the highest power of each factor.
Problem 4
Find the smallest number that is divisible by 7,17 and 289.
Prime factorization of 7: 7×1.
Prime factorization of 17: 1×17
Prime factorization of 289: 172
LCM of 7,17, and 289: 7×172 = 2023
Answer: 2023 is the smallest number which is divisible by 7,17, and 289.
Explanation
To find the smallest number which is divisible by 7,17 and 289, we need to find the LCM of these numbers.
Problem 5
If a number is divisible by both 119 and 17, is it divisible by 2023?
Yes, any number which is divisible by 17 and 119 is also divisible by 2023, since 2023 = 119×17
Answer: Yes
Explanation
Any number which is divisible by the factor 17 and factor 119 of 2023, then it is also divisible by 2023 because 2023 is a product of 17 and 119.
FAQs on Factors of 2023
1.Is 2023 a prime number?
2.Does 23 have 2 factors?
3.What are the multiples of 2023?
4.Is 23 a multiple of 3?
5. How to calculate GCF?
6.How can children in United States use numbers in everyday life to understand Factors of 2023?
7.What are some fun ways kids in United States can practice Factors of 2023 with numbers?
8.What role do numbers and Factors of 2023 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 2023 skills?
Important Glossaries for Factors of 2023
- Prime Number: A natural number greater than 1 with exactly two distinct positive divisors: 1 and itself.
- Composite Number: A positive integer greater than 1 that has more than two positive divisors. For example, 4, 6, and 2023 are composite numbers.
- Factors: Numbers that divide a given number completely without leaving a remainder. For example, the factors of 2023 are 1, 7, 289, and 2023.
- Prime Factorization: The process of expressing a composite number as the product of its prime factors. For example, 2023 = 7×172
- Divisibility Test: A method to determine if one number is divisible by another without leaving a remainder, helping identify factors and categorize numbers as prime or composite.
Explore More numbers
Previous to Factors of 2023
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.
