What are the prime factorization 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.

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

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.

The process of finding Prime Factors is called Prime Factorization of 38. In order to get the Prime factors of 38, divide the number 38 with the smallest prime numbers. Continue the process until you end up with 1.

All the numbers you used to divide above are the Prime Factors of 38. Thus, the Prime Factors of 38 are 19, 2.

1. What is Prime Factorization Method?

Answer: The method of prime factorization is used to “break down” or express a given number as a product of prime numbers.

2. How do you find the prime factors of a number?

Answer: Divide the number given with the smallest prime numbers and continue the process until you end up with 1.

3. What are the Prime Factors of 38?

Answer: Prime Factors of 38 are 19, 2, and usually expressed as 2 x 19.

4. What are the Factors of 38?

Answer: Factors of 38 are the numbers that can divide 38 and leaves a remainder zero. Factors include 1, 2, 19, 38.

Prime Factors

Prime factors of 38

Prime factors of 38 :

In number theory, the prime factors of a positive integer are the prime numbers that divide that integer exactly. The prime factorization of a positive integer is a list of the integer's prime factors, together with their multiplicities; the process of determining these factors is called integer factorization. Type the number in the input box below to find the prime factors of that number.

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Hint: First understand the term ‘prime factors’. Write the given number 38 as the product of its primes. See the different prime numbers that are appearing in the product to get the total prime factors of 120. If any prime factor is appearing more than once then mention it only one time.

Complete step by step solution:
Here we have been provided with the number 38 and we are asked to find its prime factors. First let us know about the term ‘prime factors’.
In mathematics, the term ‘prime numbers’ denotes the numbers that have only two factors, one factor is 1 and the other is the number itself. Factor means the numbers which divide any other number completely, i.e. the remainder is 0. If any number has more than two factors then it is called composite number.
Now, every composite number can be expressed as the product of its prime factors using the primes. So, we can write 38 as: -
\[\Rightarrow 38=2\times 19\]
We can see that the both 2 and 19 are prime numbers and no factor is repeating. So 38 has only two prime factors, they are 2 and 19.

Hence, 2 and 19 are the prime factors of 38.

Note: Note that 1 and 38 are also the factors of the given number 38 but we cannot include them here because they aren’t prime. 1 is neither a prime nor a composite and 38 is a composite number. Prime factorization is often used in finding the square roots of large numbers and also used in finding the L.C.M and H.C.F of two or more numbers.

How is 38 a prime number?

What is the prime factorization of 39?