Prime Factors of 6435

Steps to find Prime Factors of 6435 by Division Method

To find the primefactors of 6435 using the division method, follow these steps:

• Step 1. Start dividing 6435 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 6435, which is 3. Divide 6435 by 3 to obtain the quotient (2145).
  6435 ÷ 3 = 2145
• Step 3. Repeat step 1 with the obtained quotient (2145).
  2145 ÷ 3 = 715
  715 ÷ 5 = 143
  143 ÷ 11 = 13
  13 ÷ 13 = 1

So, the prime factorization of 6435 is, 6435 = 3 x 3 x 5 x 11 x 13.

Steps to find Prime Factors of 6435 by Factor Tree Method

We can follow the same procedure using the factor tree of 6435 as shown below:

So, the prime factorization of 6435 is, 6435 = 3 x 3 x 5 x 11 x 13.

Definition of Prime Factors?

In mathematics, prime numbers are defined as all those whole numbers greater than 1 that have only two factors, i.e. 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 6435 are 3 x 3 x 5 x 11 x 13.

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 6435 but not a prime factor of 6435.

Frequently Asked Questions

• Which is the smallest prime factor of 6435?

  Smallest prime factor of 6435 is 3.

• Is 6435 a perfect square?

  No 6435 is not a perfect square.

• What is the prime factorization of 6435?

  Prime factorization of 6435 is 3 x 3 x 5 x 11 x 13.

• What is prime factorization of 6435 in exponential form?

  Prime factorization of 6435 in exponential form is 3² x 5 x 11 x 13.

• Is 6435 a prime number?

  false, 6435 is not a prime number.

• Which is the largest prime factors of 6435?

  The largest prime factor of 6435 is 13.

• What is the product of all prime factors of 6435?

  Prime factors of 6435 are 3 x 3 x 5 x 11 x 13. Therefore, their product is 6435.

• What is the sum of all odd prime factors of 6435?

  Prime factors of 6435 are 3 , 3 , 5 , 11 , 13, out of which 3 , 3 , 5 , 11 , 13 are odd numbers. So, the sum of odd prime factors of 6435 is 3 + 3 + 5 + 11 + 13 = 35.

• What is the product of all odd prime factors of 6435?

  Prime factors of 6435 are 3 , 3 , 5 , 11 , 13, out of which 3 , 3 , 5 , 11 , 13 are odd numbers. So, the product of odd prime factors of 6435 is 3 x 3 x 5 x 11 x 13 = 6435.