Courses
Courses for Kids
Free study material
Offline Centres
More
Store Icon
Store
seo-qna
SearchIcon
banner

What is the prime factorization of 48?

Answer
VerifiedVerified
445.8k+ views
like imagedislike image
Hint: The prime factorization of 48 can be done by dividing 48 with any of the prime number by which 48 is divisible in every step until 1 or any prime number is obtained. By performing the prime factorization, we can obtain the prime numbers that divide48.

Complete step-by-step answer:
Let us have brief information regarding prime factorization.
Prime factorization is performed upon composite numbers to find the prime factors of the certain composite number. We have two common methods of performing prime factorization. They are factor tree method and upside down division. We make use of this method to break down the number into primes so as to express them as a product of primes. If there occurs a single prime factor of a number multiple times, then we can express them in exponential form.
Now let us perform prime factorization for 48 by upside down division.
2|482|242|122|6|3
The common prime factors of 48 are 2 and 3.
This can be written as 48=2×2×2×2×3
It can be expressed in exponential form as 24×3.

Note: We can perform this prime factorization of a composite number to list out the prime numbers that divide them as well as it can be used to find the LCM and HCF or certain pairs of numbers. The prime factorization of a prime number can also be done, but the prime factor that divides the number would be the number itself.

WhatsApp Banner