Is 49 a Prime Number

Is 49 a Prime Number
Go back to  'Prime Numbers'

Did you know, that prime numbers have been described as the "Atoms" of mathematics? 

In this short lesson, we will find out whether 49 is a prime number or not. 

is 49 a prime number?

So let's get started!

Lesson Plan 

Is 49 a Prime Number?

A number is said to be a prime number if it has only 2 factors 1 and itself.  

 For example, consider 43

Is 43 a prime number?

The answer is yes. Because it only has two factors as 1 and 43

Let us take one more example: Is 19 a prime number?

The answer will be yes, as it only has 1 and 19  as the number that can completely divide it leaving no remainder behind.

Factors of 49

Let us find the factors of 49

\(1 \times 49 = 49\)

\(7 \times 7 = 49\)

It is a square number.

49 has more than 2 factors. It is not a prime number.

Is 49 a Composite Number?

Any number that has more than 2 factors (the number 1, and itself), is a composite number. 

So, 49 is a composite number as it has got more than two factors. 

Hence, 49 is a composite made up of 3 factors 1, 7, 49

\(\therefore\) 49 is a composite number.

important notes to remember
Important Notes
  • 49 is a composite number. 
  • The factors of 49 are 1, 7 and 49
  •  The prime factors of 49 are 1 and 7

Solved Examples

Example 1



Mary has a set of number cards with her showing  19, and 57. She is asked to find the prime numbers from it. How can she find them? Can u help her?


19 is a prime number it has only 1 and 19 as factors.

57 can be factored as 1 \(\times\) 57 or  3 \(\times\) 19. So it is a composite number.

Thus she finds that 57 is not prime and 19 are prime numbers.

  19 is a prime number.
Example 2



There are 7 friends. They have got 49 shells on the seashore. How will they get a fair share?


To get a fair and equal share, they have to divide 49 among 7 of them equally.

\(7 \times \text{____}= 49\)

The missing factor is 7.

factor pair of 49 is  (7,7)

SO 7 friends can have 7 shells each.

\(\therefore\) Each friend gets 7 shells.
Challenge your math skills
Challenging Questions

It is given that 49 is a perfect square number. Now, without calculating any factors of 49, can you tell whether 49 is a prime number or not? 

Interactive Questions

Here are a few activities for you to practice. Select/Type your answer and click the "Check Answer" button to see the result.



Let's Summarize

The mini-lesson targeted the fascinating concept of <<topic>>. The math journey around <<topic>> starts with what a student already knows, and goes on to creatively crafting a fresh concept in the young minds. Done in a way that not only it is relatable and easy to grasp, but also will stay with them forever. Here lies the magic with Cuemath.

About Cuemath

At Cuemath, our team of math experts is dedicated to making learning fun for our favorite readers, the students!

Through an interactive and engaging learning-teaching-learning approach, the teachers explore all angles of a topic.

Be it worksheets, online classes, doubt sessions, or any other form of relation, it’s the logical thinking and smart learning approach that we, at Cuemath, believe in.

Frequently Asked Questions (FAQs)

1. What are the factors of 49?

The factors of 49 are 1, 7, and 49

2.  Is 49 divisible by any number?

Yes 49 is divisible by 1, 7 and 49

3. Is 49 a prime number? Yes or no?

No. 49 is not a prime number, because it has more than 2 factors.

More Important Topics