Prime numbers have only 2 factors 1 and the number itself. Do you know if 29 is a prime number? What about other numbers like 19, 49, 39 ? is 39 a prime? is 19 a prime? is 49 a prime? Check out the interactive questions and solved examples to know more about the lesson and try your hand at solving a few interesting practice questions at the end of the page.

**Lesson PLan**

**Is 29 a Prime Number?**

The number which is only divisible by either \(1\) or by itself is a prime number.

or In other words "a number that is a multiple of only 1 and itself.

For example: Is 29 prime?

The answer is yes. Because it only has two factors as \(1\) and \(29\)

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

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

\(39\) is a prime number.

Do you know why?

\(39\) is completely divisible by \( 1\) and \(39\) only.

This means it exactly has two factors which makes it a prime number.

Let us take an example of another number 49

Is 49 a prime number?

1 and 49 are factors of 49

But, Wait! \(7 \times 7 is 49 \) which means 7 is also a factor of 49. So, 49 has 3 factors 1,7, and 49. So it is not a prime number. It is a composite number.

In the Number chart below, few numbers are circled in yellow.

Can you verify if all these numbers are prime numbers?

**Is 29 a Composite Number?**

Composite numbers have factors other than 1 and the number itself. other factors

29 is a prime number. we can't get 29 as a product multiplying two whole numbers other than 1 and 29

- 2 is the only even prime number.
- Any two-digit number that ends with 0 or 5 is NOT a prime number because these numbers will be divisible by 5
- If the sum of the digits of a number (other than 3) is divisible by 3 then the number is NOT a prime number.

**Solved Examples**

Example 1 |

Susan was finishing her school work with her mom, but she had a doubt that out of \(4\), \(7\) and \(10\) which one is a prime number?

**Solution**

Her mother told her to write all the factors of the numbers given.

susan started writing \(4\) = \(1\), \(2\), \(4\)

\(7\) = \(1\), \(7\)

\(10\) = \(1\),\(2\),\(5\),\(10\)

Her mother then told: Susan now have a look at all the numbers and point the number having only two factors

Susan clearly understood that out of all the three numbers \(7\) is a prime number.

\( \therefore \) \(7\) is a prime number |

Example 2 |

Help benny solve:

Is 31 prime or NOT?

**Solution**

The given number is 31

Can you find two numbers such that their product is 31?

only \(1 \times 31\) gives a product 31

Thus 31 has exactly two factors.

Since the number of factors of 31 is exactly 2, it is a prime number.

\( \therefore \) \(31\) is a prime number |

**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.**

- Tim has 49 flowers and Kate has 31 flowers. Who can arrange the flowers in rows such that each row has the same number of flowers?

**Let's Summarize**

The mini-lesson is targeted at the fascinating concept of prime numbers. The math journey around prime numbers 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 is a coprime number

Numbers that have only 1 as their common factor are called coprime numbers

For example, \(18\) and \(35\) are coprime numbers as they only share \(1\) as a common factor.

## 2. Why is 29 a prime number?

29 is a prime number as it only has two factors as 1 and 29

## 3. Is 7 prime yes or no?

7 is a prime number. It only has two factors: 7 and 1