Answer
Verified
377.1k+ views
Hint: A factor that is prime in nature is said to be a prime factor of a number. In this question basically we need to find the prime numbers whose product gives the original and hence called the prime factors of a number nothing more than that.
Complete step-by-step answer:
Proceeding in this question we see that we need to find the prime factors of 144 which is actually a perfect square number and the number is 12.
We can therefore write the prime factor of 12 and then again write them in product since it is the square of a number 12.
So, the prime factors of 12 are 2,2,3 which gives us 4 $\times$ 3 and hence 12. So, the prime factors of 144 are 2,2,2,2,3,3.
Now, we should also remember that for any given number we can have only one set of prime factors. Therefore, we can say that prime factors of a number are unique in nature.
Hence, the prime factors of 144 are 2,2,2,2,3,3.
Note: Remember that 1 is neither composite nor prime. This condition is kept in order to preserve the uniqueness property of prime factors.
Prime factors are mainly used in divisibility, finding factors and making the common denominators.
Prime factors include repetition of numbers so do not be mistaken that every number is just written once and make the wrong set of prime factors.
Complete step-by-step answer:
Proceeding in this question we see that we need to find the prime factors of 144 which is actually a perfect square number and the number is 12.
We can therefore write the prime factor of 12 and then again write them in product since it is the square of a number 12.
So, the prime factors of 12 are 2,2,3 which gives us 4 $\times$ 3 and hence 12. So, the prime factors of 144 are 2,2,2,2,3,3.
Now, we should also remember that for any given number we can have only one set of prime factors. Therefore, we can say that prime factors of a number are unique in nature.
Hence, the prime factors of 144 are 2,2,2,2,3,3.
Note: Remember that 1 is neither composite nor prime. This condition is kept in order to preserve the uniqueness property of prime factors.
Prime factors are mainly used in divisibility, finding factors and making the common denominators.
Prime factors include repetition of numbers so do not be mistaken that every number is just written once and make the wrong set of 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
Differentiate between homogeneous and heterogeneous class 12 chemistry CBSE
Difference between Prokaryotic cell and Eukaryotic class 11 biology CBSE
Difference Between Plant Cell and Animal Cell
Fill the blanks with the suitable prepositions 1 The class 9 english CBSE
Which are the Top 10 Largest Countries of the World?
Give 10 examples for herbs , shrubs , climbers , creepers
10 examples of evaporation in daily life with explanations
The Equation xxx + 2 is Satisfied when x is Equal to Class 10 Maths
Why is there a time difference of about 5 hours between class 10 social science CBSE