Prime Factors of 1653

Steps to find Prime Factors of 1653 by Division Method

To find the primefactors of 1653 using the division method, follow these steps:

• Step 1. Start dividing 1653 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 1653, which is 3. Divide 1653 by 3 to obtain the quotient (551).
  1653 ÷ 3 = 551
• Step 3. Repeat step 1 with the obtained quotient (551).
  551 ÷ 19 = 29
  29 ÷ 29 = 1

So, the prime factorization of 1653 is, 1653 = 3 x 19 x 29.

Steps to find Prime Factors of 1653 by Factor Tree Method

We can follow the same procedure using the factor tree of 1653 as shown below:

So, the prime factorization of 1653 is, 1653 = 3 x 19 x 29.

What does Prime factor in mathematics mean?

Prime numbers, in mathematics are all those whole numbers greater than 1 having exactly two divisors that is 1 and the number itself. When we express any number as the product of these prime numbers than these prime numbers become prime factors of that number. Eg- Prime Factors of 1653 are 3 x 19 x 29.

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 1653 but not a prime factor of 1653.

Frequently Asked Questions

• Which is the smallest prime factor of 1653?

  Smallest prime factor of 1653 is 3.

• Is 1653 a perfect square?

  No 1653 is not a perfect square.

• What is the prime factorization of 1653?

  Prime factorization of 1653 is 3 x 19 x 29.

• What are the factors of 1653?

  Factors of 1653 are 1 , 3 , 19 , 29 , 57 , 87 , 551 , 1653.

• What is prime factorization of 1653 in exponential form?

  Prime factorization of 1653 in exponential form is 3 x 19 x 29.

• Is 1653 a prime number or a composite number?

  1653 is a composite number.

• Is 1653 a prime number?

  false, 1653 is not a prime number.

• How to find prime factorization of 1653 easily?

  To find prime factorization of 1653 easily you can refer to the steps given on this page step by step.

• Which is the largest prime factors of 1653?

  The largest prime factor of 1653 is 29.