Prime Factors of 973

Steps to find Prime Factors of 973 by Division Method

To find the primefactors of 973 using the division method, follow these steps:

• Step 1. Start dividing 973 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 973, which is 7. Divide 973 by 7 to obtain the quotient (139).
  973 ÷ 7 = 139
• Step 3. Repeat step 1 with the obtained quotient (139).
  139 ÷ 139 = 1

So, the prime factorization of 973 is, 973 = 7 x 139.

Steps to find Prime Factors of 973 by Factor Tree Method

We can follow the same procedure using the factor tree of 973 as shown below:

So, the prime factorization of 973 is, 973 = 7 x 139.

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 973 are 7 x 139.

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 973 but not a prime factor of 973.

Frequently Asked Questions

• Which is the smallest prime factor of 973?

  Smallest prime factor of 973 is 7.

• Is 973 a perfect square?

  No 973 is not a perfect square.

• What is the prime factorization of 973?

  Prime factorization of 973 is 7 x 139.

• What are the factors of 973?

  Factors of 973 are 1 , 7 , 139 , 973.

• What is prime factorization of 973 in exponential form?

  Prime factorization of 973 in exponential form is 7 x 139.

• Is 973 a prime number or a composite number?

  973 is a composite number.

• Is 973 a prime number?

  false, 973 is not a prime number.

• How to find prime factorization of 973 easily?

  To find prime factorization of 973 easily you can refer to the steps given on this page step by step.

• Which is the largest prime factors of 973?

  The largest prime factor of 973 is 139.