Prime Factors of 72501

Steps to find Prime Factors of 72501 by Division Method

To find the primefactors of 72501 using the division method, follow these steps:

• Step 1. Start dividing 72501 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 72501, which is 3. Divide 72501 by 3 to obtain the quotient (24167).
  72501 ÷ 3 = 24167
• Step 3. Repeat step 1 with the obtained quotient (24167).
  24167 ÷ 11 = 2197
  2197 ÷ 13 = 169
  169 ÷ 13 = 13
  13 ÷ 13 = 1

So, the prime factorization of 72501 is, 72501 = 3 x 11 x 13 x 13 x 13.

Steps to find Prime Factors of 72501 by Factor Tree Method

We can follow the same procedure using the factor tree of 72501 as shown below:

So, the prime factorization of 72501 is, 72501 = 3 x 11 x 13 x 13 x 13.

Introduction to Prime Factors?

In mathematics, prime numbers are defined as all those natural numbers greater than 1 that has only two divisors one being number 1 and the other being the number itself. When we express any number as the products of these prime numbers than these prime numbers become prime factors of that number. Eg- Prime Factors of 72501 are 3 x 11 x 13 x 13 x 13.

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 72501 but not a prime factor of 72501.

Frequently Asked Questions

• Which is the smallest prime factor of 72501?

  Smallest prime factor of 72501 is 3.

• Is 72501 a perfect square?

  No 72501 is not a perfect square.

• What is the prime factorization of 72501?

  Prime factorization of 72501 is 3 x 11 x 13 x 13 x 13.

• What are the factors of 72501?

  Factors of 72501 are 1 , 3 , 11 , 13 , 33 , 39 , 143 , 169 , 429 , 507 , 1859 , 2197 , 5577 , 6591 , 24167 , 72501.

• What is prime factorization of 72501 in exponential form?

  Prime factorization of 72501 in exponential form is 3 x 11 x 13³.

• Is 72501 a prime number or a composite number?

  72501 is a composite number.

• Is 72501 a prime number?

  false, 72501 is not a prime number.

• How to find prime factorization of 72501 easily?

  To find prime factorization of 72501 easily you can refer to the steps given on this page step by step.

• Which is the largest prime factors of 72501?

  The largest prime factor of 72501 is 13.