Prime Factors of 364
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Find the prime factors of 364 easily by utilising our free Prime Factors Calculator. The prime factors of 364 are the list of prime numbers when multiplied giving the product as . Two simple methods to find prime factors are trial division and prime decomposition. Go through this page to know how to find prime factors(364).
Prime Decomposition of 364 | Factor Tree of 364
The Prime Factors of 25 are all the prime numbers used to divide in the Prime Factor Tree. You can have a look below to have a better understanding of this :
| 364 | ||||||||||
| 2 | 182 | |||||||||
| 2 | 91 | |||||||||
| 7 | 13 | |||||||||
Refer to Factor Tree of 364 to know more details like how to draw the factor tree for the number.
Trial Division of 364
The easiest method to find the prime factors of a number is trial division. In this method, we have to try division of the given composite prime number 364 by the prime number, and check the number that is dividing equally and how many times.
Here,
364 ÷ 182 = 2
182 ÷ 91 = 2
91 ÷ 13 = 7
13 ÷ 1 = 13
So here he prime factorisation of 364 = 2 x 2 x 7 x 13 = 22 x 71 x 131
Prime Factorization Calculations
Here are examples of Prime Factorization calculations.
How to find the Prime Factors of 364 ?
Given number is 364
The prime factors of 364 can be found via trial division or prime decomposition or factor tree method.
Prime Factorization of 364 refers to the process of determining the Prime Factors of 364. To find the Prime Factors of 364, divide 364 by the smallest prime number. Then, take the result and divide it by the smallest prime number. Repeat this process until you have 1.
The prime factors of 364 are 2 x 2 x 7 x 13.
FAQs on Finding the Prime Factors for 364
1. What are the Prime Factors of 364 ?
Answer: Prime Factors of 364 are 2 x 2 x 7 x 13
2. How many prime factors does 364 have ?
Answer: 364 have 3 prime factors.
3. What is the least prime factor of 364 ?
Answer: The least prime factor of 364 is 2.