Euclid's Division Lemma Prime Factorisation Calculator Factors of a Number Calculator LCM Calculator GCF Calculator Factor Tree Calculator LCM of Decimals LCM of Fractions GCF of Decimals GCF of Fractions

Prime Factors of 38

Find the prime factors of 38 easily by utilising our free Prime Factors Calculator. The prime factors of 38 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(38).

Factors of:

How to find the Prime Factors of 38 ?

Given number is 38

The prime factors of 38 can be found via trial division or prime decomposition or factor tree method.

Prime Factorization of 38 refers to the process of determining the Prime Factors of 38. To find the Prime Factors of 38, divide 38 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 38 are 2 x 19.

Prime Decomposition of 38

Another popular method to find prime factorisation is known as prime decomposition and it includes the use of a factor tree. The factor tree diagram is an easy process to divide a number into its prime factors. To create a factor tree we have to break down the composite number into factors of the composite number till the numbers are prime.

There might be various methods to show the factor tree for any provided prime factorisation.


38
219
Factors of 38

Explore more about Factor Tree of 38 by accessing this link and make your calculations quick & fast by using our handy Factor Tree Calculator.

Trial Division of 38

One of the methods to check the Prime Factor of a number is trial division. Trial division consists of very easy and basic algorithms, though it is an extremely slow process. In this method, we have to check each number by dividing the composite number in question by the integer and deciding if, and how many times, the number can divide the number equally.

To get the prime factorisation of 38, we have to start with dividing it by primes

38 ÷ 19 = 2

19 ÷ 1 = 19

So here he prime factorisation of 38 = 2 x 19 = 21 x 191

We can check it in a prime factorisation calculator also. The algorithm used in the calculator and trial division may differ but the result is always the same.

Prime Factorization Calculations

FAQs on Finding the Prime Factors for 38

1. What are the Prime Factors of 38 ?

Answer: Prime Factors of 38 are 2 x 19

2. How many prime factors does 38 have ?

Answer: 38 have 2 prime factors.

3. What is the least prime factor of 38 ?

Answer: The least prime factor of 38 is 2.