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Prime Factors of 182

Created By : Bhagya
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023


Find the prime factors of 182 easily by utilising our free Prime Factors Calculator. The prime factors of 182 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(182).

Factors of:

Prime Decomposition of 182 | Factor Tree of 182

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 :


182
291
713

Refer to Factor Tree of 182 to know more details like how to draw the factor tree for the number.

Trial Division of 182

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 182 by the prime number, and check the number that is dividing equally and how many times.
Here,

182 ÷ 91 = 2

91 ÷ 13 = 7

13 ÷ 1 = 13

So here he prime factorisation of 182 = 2 x 7 x 13 = 21 x 71 x 131

Prime Factorization Calculations

How to find the Prime Factors of 182 ?

Given number is 182

The prime factors of 182 can be found via trial division or prime decomposition or factor tree method.

Prime Factorization of 182 refers to the process of determining the Prime Factors of 182. To find the Prime Factors of 182, divide 182 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 182 are 2 x 7 x 13.

FAQs on Finding the Prime Factors for 182

1. What are the Prime Factors of 182 ?

Answer: Prime Factors of 182 are 2 x 7 x 13

2. How many prime factors does 182 have ?

Answer: 182 have 3 prime factors.

3. What is the least prime factor of 182 ?

Answer: The least prime factor of 182 is 2.