Prime Factors of 6468

Steps to find Prime Factors of 6468 by Division Method

To find the primefactors of 6468 using the division method, follow these steps:

• Step 1. Start dividing 6468 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 6468, which is 2. Divide 6468 by 2 to obtain the quotient (3234).
  6468 ÷ 2 = 3234
• Step 3. Repeat step 1 with the obtained quotient (3234).
  3234 ÷ 2 = 1617
  1617 ÷ 3 = 539
  539 ÷ 7 = 77
  77 ÷ 7 = 11
  11 ÷ 11 = 1

So, the prime factorization of 6468 is, 6468 = 2 x 2 x 3 x 7 x 7 x 11.

Steps to find Prime Factors of 6468 by Factor Tree Method

We can follow the same procedure using the factor tree of 6468 as shown below:

So, the prime factorization of 6468 is, 6468 = 2 x 2 x 3 x 7 x 7 x 11.

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 6468 are 2 x 2 x 3 x 7 x 7 x 11.

Properties of Prime Factors

• For any given number there is one and only one set of unique prime factors.
• Any number can have only 1 even prime factor and that is number 2.
• Two prime factors are always coprime to each other.
• 1 is the factor of any given number, but 1 is neither a prime number nor a composite number. So, 1 is the factor of 6468 but not a prime factor of 6468.

Frequently Asked Questions

• Which is the smallest prime factor of 6468?

  Smallest prime factor of 6468 is 2.

• What is the prime factorization of 6468?

  Prime factorization of 6468 is 2 x 2 x 3 x 7 x 7 x 11.

• What are the factors of 6468?

  Factors of 6468 are 1 , 2 , 3 , 4 , 6 , 7 , 11 , 12 , 14 , 21 , 22 , 28 , 33 , 42 , 44 , 49 , 66 , 77 , 84 , 98 , 132 , 147 , 154 , 196 , 231 , 294 , 308 , 462 , 539 , 588 , 924 , 1078 , 1617 , 2156 , 3234 , 6468.

• Is 6468 a prime number or a composite number?

  6468 is a composite number.

• Is 6468 a prime number?

  false, 6468 is not a prime number.

• Which is the largest prime factors of 6468?

  The largest prime factor of 6468 is 11.

• What is the sum of all prime factors of 6468?

  Prime factors of 6468 are 2 x 2 x 3 x 7 x 7 x 11. Therefore, their sum is 32.

• What numbers are the prime factors of 6468?

  Prime factors of 6468 are 2 , 2 , 3 , 7 , 7 , 11.

• What is the sum of all odd prime factors of 6468?

  Prime factors of 6468 are 2 , 2 , 3 , 7 , 7 , 11, out of which 3 , 7 , 7 , 11 are odd numbers. So, the sum of odd prime factors of 6468 is 3 + 7 + 7 + 11 = 28.