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The number 4 is the smallest number that can be expressed as a product of two prime numbers other than 1 and the number itself. We can write 4 = 2 x 2, so 4 is the smallest composite number.
How many prime numbers are there between 40 and 50?
There are three prime numbers between 40 and 50. These are 41, 43, and 47.
Are composite numbers odd or even?
Composite numbers can either be odd or even. Numbers with 2 as a factor are even composite numbers. Numbers with odd numbers as factors, along with other prime numbers, are odd composite numbers. For example, 51 = 3 x 17 is an odd composite number.
How can 47 be expressed as the sum of three different prime numbers?
The number 47 can be expressed as the sum of 11, 13, and 23, all of which are prime numbers.
Is 47 a Prime Number?
Is 47 a prime number? This article provides the answer with proper verification and examples to make the concept easy to understand.
Nikita Aggarwal31 Jul, 2025
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Is 47 a prime number? How do you know? While dividing 47 chocolates among friends, you will notice they can’t be divided equally unless shared individually. Or you keep all 47 chocolates to yourself.
A prime number is a number greater than 1 that can only be divided by 1 and itself. This concept forms the basis for many mathematical calculations in various fields, even beyond mathematics. With 47 as an example, this article lets you explore more about prime and composite numbers.
What is a Prime Number?
A prime number is a whole number divisible only by 1 and itself. If we divide a prime number by any other number, there will always be a remainder. In other words, a prime number has only two factors: 1 and the number itself.
For example, 13 is a prime number because it is only divisible by 1 and 13.
A composite number is a number that has more than two factors. We know that every number is divisible by 1 and the number itself. So, a composite number includes factors as 1 and the number itself, along with at least another number.
For example, 68 is a number that can be factorized as follows:
68 = 2 x 2 x 17
So, 68 is a composite number because it has two factors, 2 and 17, apart from 1 and 68.
Differences between Prime Numbers and Composite Numbers
The differences between prime and composite numbers are explained in the table below.
Differences between Prime Numbers and Composite Numbers
Prime Number
Composite Number
It has only two factors
It has more than two factors
It can’t be divided by any number other than 1 and itself
It can be divided by numbers other than 1 and itself
The smallest prime number is 2
The smallest prime number is 4
It can be expressed as the product of only 1 and the number itself
It can be expressed as a product of numbers other than 1 and the number itself
Is 47 a Prime Number or a Composite Number?
To determine whether 47 is a prime number or not, we must check whether 47 is divisible by any number other than 1 and 47. 47 is divisible only by 1 and 47, and there are no other factors of 47.
So, we can say, 47 = 1 x 47
It is a prime number since 47 has no factors other than 1 and 47.
The number 47 has only two factors, 1 and 47. We can’t factorize it in any other way. Since factors of 47 are 1 and 47 only, we can say that 47 is not a composite number.
Since 47 is a prime number, it has only two factors: 1 and 47. In other words, 47 can’t be evenly divided by numbers other than 1 and 47 without leaving a remainder.
We can check if there are any other factors of 47.
47 is not divisible by 2 because it is an odd number.
47 is not divisible by 3 because the sum of its digits (4 + 7 =11) is not divisible by 3.
47 is not divisible by 5 because it doesn’t end with 0 or 5.
47 is also not divisible by other prime numbers like 7,11, 13, 17, 19, 23, 29, 31, 37, 41, and 43. Therefore, the factors for 47 are only 1 and 47.
Prime Number Formula to Check if 47 is a Prime Number
There is a formula to find the prime numbers greater than 40. It is expressed as follows:
n2 + n + 41, where n are natural numbers 0, 1, 2, 3,…39.
This formula can be used to verify if 47 is a prime number.
Prime numbers are always odd; only 2 is an even prime number.
If the sum of the digits of a number is divisible by 3, it is not a prime number.
Multiples of any number other than 1 are not prime numbers.
If the prime factorization of a number gives more than two prime numbers, then it is a composite number, not a prime number.
This article explains whether 47 is prime or composite and how understanding numbers builds stronger problem-solving skills. If you're looking for a fun and effective way to support your child’s maths learning, CuriousJr kids online classes make complex topics simple and engaging. Book a demo today and help your child build a strong foundation in maths through interactive learning.
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