# 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.

So let's get started!

## Lesson Plan

 1 Is 49 a Prime Number? 2 Important Notes 3 Challenging Questions 4 Solved Examples 5 Interactive Questions

## 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
• 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.

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

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## 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.

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