
What is the prime factorization of ?
Answer
441k+ views
Hint: To find the answer to the question given above, divide by just prime numbers to find the prime factorization. Prime numbers are whole numbers greater than that can only be divided equally by themselves and . Also, remember a composite number is a real number greater than that is not prime.
Complete step-by-step answer:
We have to find prime factorization of .
Now, we know Factorization, also known as factoring, is the process of writing a number or another mathematical entity as a result of many variables, which are usually smaller or simpler objects of the same nature.
We have to find the answer through prime factorization.
Since, ends with , it is divisible by and we know that is a prime number.
So,
Now, has to be factored into its prime factors.
We get:
Hence, the prime factorization of is:
.
This can be written as: .
So, the final answer is: .
Note: While solving questions similar to the one given above, remember that prime factorization is the method of factoring a number in terms of prime numbers, with prime numbers as the variables. The method of identifying prime numbers and multiplying them together to get the original number is known as prime factorization. The prime factors of are, for example, . It's also possible to write this as . The division method and the factor tree method are two methods for determining a number's prime factors.
Complete step-by-step answer:
We have to find prime factorization of
Now, we know Factorization, also known as factoring, is the process of writing a number or another mathematical entity as a result of many variables, which are usually smaller or simpler objects of the same nature.
We have to find the answer through prime factorization.
Since,
So,
Now,
We get:
Hence, the prime factorization of
This can be written as:
So, the final answer is:
Note: While solving questions similar to the one given above, remember that prime factorization is the method of factoring a number in terms of prime numbers, with prime numbers as the variables. The method of identifying prime numbers and multiplying them together to get the original number is known as prime factorization. The prime factors of
Latest Vedantu courses for you
Grade 9 | CBSE | SCHOOL | English
Vedantu 9 CBSE Pro Course - (2025-26)
School Full course for CBSE students
₹37,300 per year
Recently Updated Pages
Express the following as a fraction and simplify a class 7 maths CBSE

The length and width of a rectangle are in ratio of class 7 maths CBSE

The ratio of the income to the expenditure of a family class 7 maths CBSE

How do you write 025 million in scientific notatio class 7 maths CBSE

How do you convert 295 meters per second to kilometers class 7 maths CBSE

Write the following in Roman numerals 25819 class 7 maths CBSE

Trending doubts
Full Form of IASDMIPSIFSIRSPOLICE class 7 social science CBSE

The southernmost point of the Indian mainland is known class 7 social studies CBSE

How many crores make 10 million class 7 maths CBSE

What is meant by Indian Standard Time Why do we need class 7 social science CBSE

List of coprime numbers from 1 to 100 class 7 maths CBSE

AIM To prepare stained temporary mount of onion peel class 7 biology CBSE
