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.

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.

- 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?

**Solution**

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?

**Solution**

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. |

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.