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138 LearnersLast updated on December 1st, 2024
Is 49 a prime number?
Factors of a number mean the breakdown of numbers for grouping according to how we want to apply it. You may have seen people use factors for money and budgeting.
Is 49 a prime number
A prime number should not have factors more than 2 but 49 has 3 divisors. No, 49 is a composite number.
The divisors of 49 are 1,7,49. Therefore, 49 is a composite number.
Composite numbers are the numbers which have factors more than 2.
Why is 49 not a prime number?
A number to be a prime number should follow the criteria, which is that it should not have factors more than 2.
49 has factors more than 2, so it is a composite number.
Given below are a few ways that can be used to find prime or composite numbers.
Using the Counting Divisors Method
In this method, the divisors of a number are listed, and the number is checked, to be called a prime number. The counting divisors method for 49 would simply be
- Divisors of 49=1,7,49
- Number of divisors=3
The number 49 can be considered composite.
Using the Divisibility Test Method
In divisibility method, the prime number only has 2 divisors, which are 1 and itself.
- Divisors of 49=1,7,49
As 8 has factors more than 2 then it is not a prime number.
Using Prime Number Chart
We write the prime number chart up to 50, which helps in sorting numbers.
The prime numbers from 1 to 50 are 2, 3, 5, 7,11,13,17,19,23,29,31,37,41,43 and 47.
49 is not on the list, so it is not a prime number.
Using the Prime Factorization Method
This method is only used for a non-prime number/composite number. Since 49 is a composite number,
prime factorization for 49 is :
Factors of 49 = 7 × 7.
Common Mistakes to Avoid When Determining if 49 is a Prime Number
FAQs: Is 49 a Prime Number?
1.Is 14 a factor of 49?
2.Is 17 19 23 a prime triplet?
3.What is 3 5 7 called?
4.Is 6 a composite number?
Important Glossaries for "Is 49 a Prime Number"
- Prime Factorization: Prime factorization is a process of writing all numbers as a product of the prime.
- Divisibility Method: In the divisibility method, the prime number only has 2 divisors, which are 1 and itself.
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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.
