Prime Factors of 208

Steps to find Prime Factors of 208 by Division Method

To find the primefactors of 208 using the division method, follow these steps:

• Step 1. Start dividing 208 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 208, which is 2. Divide 208 by 2 to obtain the quotient (104).
  208 ÷ 2 = 104
• Step 3. Repeat step 1 with the obtained quotient (104).
  104 ÷ 2 = 52
  52 ÷ 2 = 26
  26 ÷ 2 = 13
  13 ÷ 13 = 1

So, the prime factorization of 208 is, 208 = 2 x 2 x 2 x 2 x 13.

Steps to find Prime Factors of 208 by Factor Tree Method

We can follow the same procedure using the factor tree of 208 as shown below:

So, the prime factorization of 208 is, 208 = 2 x 2 x 2 x 2 x 13.

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 208 are 2 x 2 x 2 x 2 x 13.

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 208 but not a prime factor of 208.

Frequently Asked Questions

• Which is the smallest prime factor of 208?

  Smallest prime factor of 208 is 2.

• Is 208 a perfect square?

  No 208 is not a perfect square.

• What is the prime factorization of 208?

  Prime factorization of 208 is 2 x 2 x 2 x 2 x 13.

• What is prime factorization of 208 in exponential form?

  Prime factorization of 208 in exponential form is 2⁴ x 13.

• Is 208 a prime number or a composite number?

  208 is a composite number.

• Which is the largest prime factors of 208?

  The largest prime factor of 208 is 13.

• What is the product of all prime factors of 208?

  Prime factors of 208 are 2 x 2 x 2 x 2 x 13. Therefore, their product is 208.

• What numbers are the prime factors of 208?

  Prime factors of 208 are 2 , 2 , 2 , 2 , 13.

• Is there any even prime factor of 208?

  Yes there is a even prime factor of 208.