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.
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
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?
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|
Help benny solve:
Is 31 prime or NOT?
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|
Here are a few activities for you to practice.
Select/Type your answer and click the "Check Answer" button to see the result.
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.
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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