Answer
Verified
409.8k+ views
Hint: Try to find the factors of the given number. Distinguish them as prime numbers or not. If all are prime numbers, then express the given number as the product of all of them to get the required result.
Complete step by step answer:
Prime number: we know a prime number is a whole number greater than 1 that cannot be made by multiplying other whole numbers.
Prime factorization: For the prime factorization of a number we have to multiply only the prime numbers together to get the original number.
Now considering the number 441,
441 can be expressed as
$441=3\times 3\times 7\times 7$
From the above, we can conclude that the prime factors of 441 are 3 and 7 as both 3 and 7 are prime numbers.
This is the required solution of the given question.
Note: 441 can also be expressed as the product of two square numbers i.e. 9 and 49. So 441 is itself a square number, whose square root is $\sqrt{441}=\sqrt{9\times 49}=\sqrt{3\times 3\times 7\times 7}=3\times 7=21$. One major application of prime factorization is to find the greatest common factor. If two numbers are given, we have to express them as the product of prime factors. From there we can choose the greatest common factor of both the numbers as the common prime factors.
Complete step by step answer:
Prime number: we know a prime number is a whole number greater than 1 that cannot be made by multiplying other whole numbers.
Prime factorization: For the prime factorization of a number we have to multiply only the prime numbers together to get the original number.
Now considering the number 441,
441 can be expressed as
$441=3\times 3\times 7\times 7$
From the above, we can conclude that the prime factors of 441 are 3 and 7 as both 3 and 7 are prime numbers.
This is the required solution of the given question.
Note: 441 can also be expressed as the product of two square numbers i.e. 9 and 49. So 441 is itself a square number, whose square root is $\sqrt{441}=\sqrt{9\times 49}=\sqrt{3\times 3\times 7\times 7}=3\times 7=21$. One major application of prime factorization is to find the greatest common factor. If two numbers are given, we have to express them as the product of prime factors. From there we can choose the greatest common factor of both the numbers as the common prime factors.
Recently Updated Pages
How many sigma and pi bonds are present in HCequiv class 11 chemistry CBSE
Mark and label the given geoinformation on the outline class 11 social science CBSE
When people say No pun intended what does that mea class 8 english CBSE
Name the states which share their boundary with Indias class 9 social science CBSE
Give an account of the Northern Plains of India class 9 social science CBSE
Change the following sentences into negative and interrogative class 10 english CBSE
Trending doubts
Which are the Top 10 Largest Countries of the World?
How do you graph the function fx 4x class 9 maths CBSE
Difference Between Plant Cell and Animal Cell
The Equation xxx + 2 is Satisfied when x is Equal to Class 10 Maths
Fill the blanks with the suitable prepositions 1 The class 9 english CBSE
Give 10 examples for herbs , shrubs , climbers , creepers
What organs are located on the left side of your body class 11 biology CBSE
Difference between Prokaryotic cell and Eukaryotic class 11 biology CBSE
Differentiate between homogeneous and heterogeneous class 12 chemistry CBSE