Is 59 a Prime Number

Is 59 a Prime Number
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Did you know that the first written evidence of prime numbers was found in 1550 BC?

If a number cannot be divided into equal groups, then it is known as a prime number.

Can you divide 59 into equal groups of 2? equal groups of 3 ? groups of 4?

Boy thinking if 59 is a prime number

Let's find an answer to this question!

In this mini-lesson, we will explore the world of prime numbers by finding the answers to the questions like what is a prime number, is 59 a prime number, or if  59 is a composite number, etc., with the help of solved examples and interactive questions.

Lesson Plan

What Is a Prime Number?

Any whole number greater than 1, having only 2 factors, 1 and the number itself is known as a prime number.

For example; 23 is a prime number because it has only 2 factors 1 and the number itself, i.e. 23


Is 59 a Prime Number?

To determine if 59 is a prime number, let us see the factor tree of 59

59 has only two factors, that is, 1 and 59

This implies, 59 is a prime number as it is factored only as 1 and the number itself i.e. 59

The very first thing that one can take note of is, 59 is an odd number.

2 is the only even number which is prime, all other prime numbers are odd.

But what about the number 91?

Is 91 a prime number?

 
important notes to remember
Important Notes
  • A prime number has only two factors.
  • A composite number has more than two factors.
  • 59 has only two factors, that is, 1 and 59
  • 59 is a prime number.
  • 2 is the only even prime number, all other prime numbers are odd.

Is 59 a Composite Number?

A composite number is any natural number having a total number of factors greater than 2

59 is not a composite number as it has only two factors, that is, 1 and 59


Solved Examples

Example 1

 

 

Lucy has to list prime numbers between 70 and 100. Help her list them.

Solution

Lucy listed the following prime numbers between 70 and 100. They are:

71, 73, 79, 83, 89 and 97

She found there were 6 prime numbers between 70 to 100

\(\therefore\) Lucy listed 6 prime numbers between 70 and 100

Example 2

 

 

Eric has to prove that 1 added or subtracted in 59, makes it a composite number. How will he prove it?

Solution

On adding of 1 to 59, Eric will get, 60. On subtracting 1 from 59, he will get 58

He will check whether 60 is a prime number or not.

He will check the divisibility of 60 by 2, 3, 5, and 7

Or he will simply find out prime factorization of 60

 Prime factorization of 60

Factors of 60 are, 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60

It has factors other than 1 and 60, which makes it a composite number.

He will check whether 58 is a prime number.

He will check the divisibility of 58 by 2, 3, 5, and 7

Or he will simply find out prime factorization of 58

Prime factorization of 58

Factors of 58 are 1, 29, and 58

It has factors other than 1 and 58, which makes it a composite number.

Hence 1 added or subtracted in 59, makes it a composite number.

Hence Proved

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.

 

 
 
 
 
 
Challenge your math skills
Challenging Questions
  • Find out prime numbers from 1 to 100 whose sum of digits is also a prime number.
  • How can you arrange 53 blocks in rows such that each row has an equal number of blocks? Based on their arrangement check- is 53 a prime number?

Let's Summarize

We hope you enjoyed learning about the number 59. Now that you know it is a prime number, you will be able to easily solve problems on prime numbers, is 91 a prime number and is 53 a prime number.

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 co-prime numbers?

It is a set of any two numbers which have only 1 as their common factor. For example, 5 and 6 are co-prime numbers.

2. What is the prime factorization of 59?

The prime factorization of 59 is the product of prime factors of 59 which result in 59. The prime factorization of 59 is \(1 \times 59\)..

3. Is 59 a prime number? Yes or No?

Yes, 59 is a prime number.

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