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?
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.
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?
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
Lucy has to list prime numbers between 70 and 100. Help her list them.
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
Eric has to prove that 1 added or subtracted in 59, makes it a composite number. How will he prove it?
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
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
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.
Here are a few activities for you to practice.
Select/Type your answer and click the "Check Answer" button to see the result.
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.
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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.