Prime Factors of 548

Steps to find Prime Factors of 548 by Division Method

To find the primefactors of 548 using the division method, follow these steps:

• Step 1. Start dividing 548 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 548, which is 2. Divide 548 by 2 to obtain the quotient (274).
  548 ÷ 2 = 274
• Step 3. Repeat step 1 with the obtained quotient (274).
  274 ÷ 2 = 137
  137 ÷ 137 = 1

So, the prime factorization of 548 is, 548 = 2 x 2 x 137.

Steps to find Prime Factors of 548 by Factor Tree Method

We can follow the same procedure using the factor tree of 548 as shown below:

So, the prime factorization of 548 is, 548 = 2 x 2 x 137.

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 548 are 2 x 2 x 137.

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 548 but not a prime factor of 548.

Frequently Asked Questions

• Which is the smallest prime factor of 548?

  Smallest prime factor of 548 is 2.

• What is the prime factorization of 548?

  Prime factorization of 548 is 2 x 2 x 137.

• What are the factors of 548?

  Factors of 548 are 1 , 2 , 4 , 137 , 274 , 548.

• Is 548 a prime number or a composite number?

  548 is a composite number.

• Is 548 a prime number?

  false, 548 is not a prime number.

• Which is the largest prime factors of 548?

  The largest prime factor of 548 is 137.

• What is the sum of all prime factors of 548?

  Prime factors of 548 are 2 x 2 x 137. Therefore, their sum is 141.

• What numbers are the prime factors of 548?

  Prime factors of 548 are 2 , 2 , 137.

• What is the sum of all odd prime factors of 548?

  Prime factors of 548 are 2 , 2 , 137, out of which 137 are odd numbers. So, the sum of odd prime factors of 548 is 137 = 137.