Prime Factors of 3468

Steps to find Prime Factors of 3468 by Division Method

To find the primefactors of 3468 using the division method, follow these steps:

• Step 1. Start dividing 3468 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 3468, which is 2. Divide 3468 by 2 to obtain the quotient (1734).
  3468 ÷ 2 = 1734
• Step 3. Repeat step 1 with the obtained quotient (1734).
  1734 ÷ 2 = 867
  867 ÷ 3 = 289
  289 ÷ 17 = 17
  17 ÷ 17 = 1

So, the prime factorization of 3468 is, 3468 = 2 x 2 x 3 x 17 x 17.

Steps to find Prime Factors of 3468 by Factor Tree Method

We can follow the same procedure using the factor tree of 3468 as shown below:

So, the prime factorization of 3468 is, 3468 = 2 x 2 x 3 x 17 x 17.

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 3468 are 2 x 2 x 3 x 17 x 17.

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 3468 but not a prime factor of 3468.

Frequently Asked Questions

• Which is the smallest prime factor of 3468?

  Smallest prime factor of 3468 is 2.

• What is the prime factorization of 3468?

  Prime factorization of 3468 is 2 x 2 x 3 x 17 x 17.

• What are the factors of 3468?

  Factors of 3468 are 1 , 2 , 3 , 4 , 6 , 12 , 17 , 34 , 51 , 68 , 102 , 204 , 289 , 578 , 867 , 1156 , 1734 , 3468.

• Is 3468 a prime number or a composite number?

  3468 is a composite number.

• Is 3468 a prime number?

  false, 3468 is not a prime number.

• Which is the largest prime factors of 3468?

  The largest prime factor of 3468 is 17.

• What is the sum of all prime factors of 3468?

  Prime factors of 3468 are 2 x 2 x 3 x 17 x 17. Therefore, their sum is 41.

• What numbers are the prime factors of 3468?

  Prime factors of 3468 are 2 , 2 , 3 , 17 , 17.

• What is the sum of all odd prime factors of 3468?

  Prime factors of 3468 are 2 , 2 , 3 , 17 , 17, out of which 3 , 17 , 17 are odd numbers. So, the sum of odd prime factors of 3468 is 3 + 17 + 17 = 37.