Prime Factors of 1701

Steps to find Prime Factors of 1701 by Division Method

To find the primefactors of 1701 using the division method, follow these steps:

• Step 1. Start dividing 1701 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 1701, which is 3. Divide 1701 by 3 to obtain the quotient (567).
  1701 ÷ 3 = 567
• Step 3. Repeat step 1 with the obtained quotient (567).
  567 ÷ 3 = 189
  189 ÷ 3 = 63
  63 ÷ 3 = 21
  21 ÷ 3 = 7
  7 ÷ 7 = 1

So, the prime factorization of 1701 is, 1701 = 3 x 3 x 3 x 3 x 3 x 7.

Steps to find Prime Factors of 1701 by Factor Tree Method

We can follow the same procedure using the factor tree of 1701 as shown below:

So, the prime factorization of 1701 is, 1701 = 3 x 3 x 3 x 3 x 3 x 7.

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 1701 are 3 x 3 x 3 x 3 x 3 x 7.

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 1701 but not a prime factor of 1701.

Frequently Asked Questions

• Which is the smallest prime factor of 1701?

  Smallest prime factor of 1701 is 3.

• Is 1701 a perfect square?

  No 1701 is not a perfect square.

• What is the prime factorization of 1701?

  Prime factorization of 1701 is 3 x 3 x 3 x 3 x 3 x 7.

• What are the factors of 1701?

  Factors of 1701 are 1 , 3 , 7 , 9 , 21 , 27 , 63 , 81 , 189 , 243 , 567 , 1701.

• What is prime factorization of 1701 in exponential form?

  Prime factorization of 1701 in exponential form is 3⁵ x 7.

• Is 1701 a prime number or a composite number?

  1701 is a composite number.

• Is 1701 a prime number?

  false, 1701 is not a prime number.

• How to find prime factorization of 1701 easily?

  To find prime factorization of 1701 easily you can refer to the steps given on this page step by step.

• Which is the largest prime factors of 1701?

  The largest prime factor of 1701 is 7.