Prime Factors of 651

Steps to find Prime Factors of 651 by Division Method

To find the primefactors of 651 using the division method, follow these steps:

• Step 1. Start dividing 651 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 651, which is 3. Divide 651 by 3 to obtain the quotient (217).
  651 ÷ 3 = 217
• Step 3. Repeat step 1 with the obtained quotient (217).
  217 ÷ 7 = 31
  31 ÷ 31 = 1

So, the prime factorization of 651 is, 651 = 3 x 7 x 31.

Steps to find Prime Factors of 651 by Factor Tree Method

We can follow the same procedure using the factor tree of 651 as shown below:

So, the prime factorization of 651 is, 651 = 3 x 7 x 31.

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 651 are 3 x 7 x 31.

Properties of Prime Factors

• For any given number there is one and only one set of unique prime factors.
• 2 is the only even prime number. So, any given number can have only one even prime factor and that is 2.
• Two prime factors of a given number 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 651 but not a prime factor of 651.

Frequently Asked Questions

• Which is the smallest prime factor of 651?

  Smallest prime factor of 651 is 3.

• Is 651 a perfect square?

  No 651 is not a perfect square.

• What is the prime factorization of 651?

  Prime factorization of 651 is 3 x 7 x 31.

• What is prime factorization of 651 in exponential form?

  Prime factorization of 651 in exponential form is 3 x 7 x 31.

• Is 651 a prime number?

  false, 651 is not a prime number.

• Which is the largest prime factors of 651?

  The largest prime factor of 651 is 31.

• What is the product of all prime factors of 651?

  Prime factors of 651 are 3 x 7 x 31. Therefore, their product is 651.

• What is the sum of all odd prime factors of 651?

  Prime factors of 651 are 3 , 7 , 31, out of which 3 , 7 , 31 are odd numbers. So, the sum of odd prime factors of 651 is 3 + 7 + 31 = 41.

• What is the product of all odd prime factors of 651?

  Prime factors of 651 are 3 , 7 , 31, out of which 3 , 7 , 31 are odd numbers. So, the product of odd prime factors of 651 is 3 x 7 x 31 = 651.