Prime Factors of 368

Steps to find Prime Factors of 368 by Division Method

To find the primefactors of 368 using the division method, follow these steps:

• Step 1. Start dividing 368 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 368, which is 2. Divide 368 by 2 to obtain the quotient (184).
  368 ÷ 2 = 184
• Step 3. Repeat step 1 with the obtained quotient (184).
  184 ÷ 2 = 92
  92 ÷ 2 = 46
  46 ÷ 2 = 23
  23 ÷ 23 = 1

So, the prime factorization of 368 is, 368 = 2 x 2 x 2 x 2 x 23.

Steps to find Prime Factors of 368 by Factor Tree Method

We can follow the same procedure using the factor tree of 368 as shown below:

So, the prime factorization of 368 is, 368 = 2 x 2 x 2 x 2 x 23.

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 368 are 2 x 2 x 2 x 2 x 23.

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 368 but not a prime factor of 368.

Frequently Asked Questions

• Which is the smallest prime factor of 368?

  Smallest prime factor of 368 is 2.

• Is 368 a perfect square?

  No 368 is not a perfect square.

• What is the prime factorization of 368?

  Prime factorization of 368 is 2 x 2 x 2 x 2 x 23.

• What is prime factorization of 368 in exponential form?

  Prime factorization of 368 in exponential form is 2⁴ x 23.

• Is 368 a prime number or a composite number?

  368 is a composite number.

• Which is the largest prime factors of 368?

  The largest prime factor of 368 is 23.

• What is the product of all prime factors of 368?

  Prime factors of 368 are 2 x 2 x 2 x 2 x 23. Therefore, their product is 368.

• What numbers are the prime factors of 368?

  Prime factors of 368 are 2 , 2 , 2 , 2 , 23.

• Is there any even prime factor of 368?

  Yes there is a even prime factor of 368.