
How do you write the prime factorization of
Answer
475.2k+ views
Hint: Prime numbers are the whole number greater than 1 which cannot be made by multiplying other whole numbers such as are prime numbers. Remember number one is neither prime nor composite. Here we will find the prime factors of the given number by deducing the number into multiples.
Complete step-by-step solution:
Find the prime factors of the given number.
Prime factorization is the process of finding which prime numbers can be multiplied together to make the original number, where prime numbers are the numbers greater than and which are not the product of any two smaller natural numbers. For Example:
Start dividing the given number with the least prime number , if it is further not divided then start dividing with next least prime number that is and so on...
So, the factors of the given number can be expressed as –
We can observe in the above equation, that the factors on the right-hand side of the equation are the composite numbers. Deduce them in the form of a prime.
Arranging the multiples on the right-hand side of the equation.
This is the required solution.
Note: Remember that the factors of the given number can be calculated by using the long division method or by factor tree method. To find the factors you should convert the given number in prime factors. Know the difference between the prime and composite numbers. You should be very good in multiples. As, ultimately your answer depends on the multiplication of the numbers. Remember multiplies of the number at least till for the accurate and efficient solution.
Complete step-by-step solution:
Find the prime factors of the given number.
Prime factorization is the process of finding which prime numbers can be multiplied together to make the original number, where prime numbers are the numbers greater than
Start dividing the given number with the least prime number
So, the factors of the given number can be expressed as –
We can observe in the above equation, that the factors on the right-hand side of the equation are the composite numbers. Deduce them in the form of a prime.
Arranging the multiples on the right-hand side of the equation.
This is the required solution.
Note: Remember that the factors of the given number can be calculated by using the long division method or by factor tree method. To find the factors you should convert the given number in prime factors. Know the difference between the prime and composite numbers. You should be very good in multiples. As, ultimately your answer depends on the multiplication of the numbers. Remember multiplies of the number at least till for the accurate and efficient solution.
Latest Vedantu courses for you
Grade 11 Science PCM | CBSE | SCHOOL | English
CBSE (2025-26)
School Full course for CBSE students
₹41,848 per year
Recently Updated Pages
Master Class 12 Business Studies: Engaging Questions & Answers for Success

Master Class 12 English: Engaging Questions & Answers for Success

Master Class 12 Economics: Engaging Questions & Answers for Success

Master Class 12 Social Science: Engaging Questions & Answers for Success

Master Class 12 Maths: Engaging Questions & Answers for Success

Master Class 12 Chemistry: Engaging Questions & Answers for Success

Trending doubts
What is the Full Form of ISI and RAW

Which of the following districts of Rajasthan borders class 9 social science CBSE

Difference Between Plant Cell and Animal Cell

Fill the blanks with the suitable prepositions 1 The class 9 english CBSE

Name the states which share their boundary with Indias class 9 social science CBSE

What is 85 of 500 class 9 maths CBSE
