Prime Factors of 1981

Steps to find Prime Factors of 1981 by Division Method

To find the primefactors of 1981 using the division method, follow these steps:

• Step 1. Start dividing 1981 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 1981, which is 7. Divide 1981 by 7 to obtain the quotient (283).
  1981 ÷ 7 = 283
• Step 3. Repeat step 1 with the obtained quotient (283).
  283 ÷ 283 = 1

So, the prime factorization of 1981 is, 1981 = 7 x 283.

Steps to find Prime Factors of 1981 by Factor Tree Method

We can follow the same procedure using the factor tree of 1981 as shown below:

So, the prime factorization of 1981 is, 1981 = 7 x 283.

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 1981 are 7 x 283.

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 1981 but not a prime factor of 1981.

Frequently Asked Questions

• Which is the smallest prime factor of 1981?

  Smallest prime factor of 1981 is 7.

• Is 1981 a perfect square?

  No 1981 is not a perfect square.

• What is the prime factorization of 1981?

  Prime factorization of 1981 is 7 x 283.

• What are the factors of 1981?

  Factors of 1981 are 1 , 7 , 283 , 1981.

• What is prime factorization of 1981 in exponential form?

  Prime factorization of 1981 in exponential form is 7 x 283.

• Is 1981 a prime number or a composite number?

  1981 is a composite number.

• Is 1981 a prime number?

  false, 1981 is not a prime number.

• How to find prime factorization of 1981 easily?

  To find prime factorization of 1981 easily you can refer to the steps given on this page step by step.

• Which is the largest prime factors of 1981?

  The largest prime factor of 1981 is 283.