Prime Factors of 2021

Prime Factors of 2021 are 43 and 47

How to find prime factors of a number

 1.   Prime Factorization of 2021 by Division Method 2.   Prime Factorization of 2021 by Factor Tree Method 3.   Definition of Prime Factors 4.   Frequently Asked Questions

Steps to find Prime Factors of 2021 by Division Method

To find the primefactors of 2021 using the division method, follow these steps:

• Step 1. Start dividing 2021 by the smallest prime number, i.e., 2, 3, 5, and so on. Find the smallest prime factor of the number.
• Step 2. After finding the smallest prime factor of the number 2021, which is 43. Divide 2021 by 43 to obtain the quotient (47).
2021 ÷ 43 = 47
• Step 3. Repeat step 1 with the obtained quotient (47).
47 ÷ 47 = 1

So, the prime factorization of 2021 is, 2021 = 43 x 47.

Steps to find Prime Factors of 2021 by Factor Tree Method

We can follow the same procedure using the factor tree of 2021 as shown below:

So, the prime factorization of 2021 is, 2021 = 43 x 47.

Introduction to Prime Factors?

In mathematics, prime numbers are defined as all those natural numbers greater than 1 that has only two divisors one being number 1 and the other being the number itself. When we express any number as the products of these prime numbers than these prime numbers become prime factors of that number. Eg- Prime Factors of 2021 are 43 x 47.

Properties of Prime Factors

• Prime factors are the set of factors that are unique to the number given.
• 2 is the only even prime factor any number can have.
• Two prime factors are always coprime to each other.
• 1 is neither a prime number nor a composite number and also 1 is the factor of every given number. So, 1 is the factor of 2021 but not a prime factor of 2021.

Frequently Asked Questions

• Which is the smallest prime factor of 2021?

Smallest prime factor of 2021 is 43.

• Is 2021 a perfect square?

No 2021 is not a perfect square.

• What is the prime factorization of 2021?

Prime factorization of 2021 is 43 x 47.

• What are the factors of 2021?

Factors of 2021 are 1 , 43 , 47 , 2021.

• What is prime factorization of 2021 in exponential form?

Prime factorization of 2021 in exponential form is 43 x 47.

• Is 2021 a prime number or a composite number?

2021 is a composite number.

• Is 2021 a prime number?

false, 2021 is not a prime number.

• How to find prime factorization of 2021 easily?

To find prime factorization of 2021 easily you can refer to the steps given on this page step by step.

• Which is the largest prime factors of 2021?

The largest prime factor of 2021 is 47.

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