Prime Factors of 73

Steps to find Prime Factors of 73 by Division Method

To find the primefactors of 73 using the division method, follow these steps:

• Step 1. Start dividing 73 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 73, which is 73. Divide 73 by 73 to obtain the quotient (1).
  73 ÷ 73 = 1
• Step 3. Repeat step 1 with the obtained quotient (1).

So, the prime factorization of 73 is, 73 = 73.

Steps to find Prime Factors of 73 by Factor Tree Method

We can follow the same procedure using the factor tree of 73 as shown below:

So, the prime factorization of 73 is, 73 = 73.

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 73 are 73.

Properties of Prime Factors

• Prime factors are the set of factors that are unique to the number given.
• 2 is the only even prime factor any number can have.
• Two prime factors are always coprime to each other.
• 1 is neither a prime number nor a composite number and also 1 is the factor of every given number. So, 1 is the factor of 73 but not a prime factor of 73.

Frequently Asked Questions

• Which is the smallest prime factor of 73?

  Smallest prime factor of 73 is 73.

• What is the prime factorization of 73?

  Prime factorization of 73 is 73.

• What is prime factorization of 73 in exponential form?

  Prime factorization of 73 in exponential form is 73.

• Is 73 a prime number or a composite number?

  73 is a prime number.

• Is 73 a prime number?

  true, 73 is a prime number.

• How to find prime factorization of 73 easily?

  To find prime factorization of 73 easily you can refer to the steps given on this page step by step.

• Which is the largest prime factors of 73?

  The largest prime factor of 73 is 73.

• What is the product of all prime factors of 73?

  Prime factors of 73 are 73. Therefore, their product is 73.

• What is the sum of all odd prime factors of 73?

  Prime factors of 73 are 73, out of which 73 are odd numbers. So, the sum of odd prime factors of 73 is 73 = 73.