Prime Factors of 7429

Steps to find Prime Factors of 7429 by Division Method

To find the primefactors of 7429 using the division method, follow these steps:

• Step 1. Start dividing 7429 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 7429, which is 17. Divide 7429 by 17 to obtain the quotient (437).
  7429 ÷ 17 = 437
• Step 3. Repeat step 1 with the obtained quotient (437).
  437 ÷ 19 = 23
  23 ÷ 23 = 1

So, the prime factorization of 7429 is, 7429 = 17 x 19 x 23.

Steps to find Prime Factors of 7429 by Factor Tree Method

We can follow the same procedure using the factor tree of 7429 as shown below:

So, the prime factorization of 7429 is, 7429 = 17 x 19 x 23.

What does Prime factor of a number mean?

A prime number in mathematics is defined as any natural number greater than 1, that is not divisible by any number except 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 7429 are 17 x 19 x 23.

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 7429 but not a prime factor of 7429.

Frequently Asked Questions

• Which is the smallest prime factor of 7429?

  Smallest prime factor of 7429 is 17.

• Is 7429 a perfect square?

  No 7429 is not a perfect square.

• What is the prime factorization of 7429?

  Prime factorization of 7429 is 17 x 19 x 23.

• What are the factors of 7429?

  Factors of 7429 are 1 , 17 , 19 , 23 , 323 , 391 , 437 , 7429.

• What is prime factorization of 7429 in exponential form?

  Prime factorization of 7429 in exponential form is 17 x 19 x 23.

• Is 7429 a prime number or a composite number?

  7429 is a composite number.

• Is 7429 a prime number?

  false, 7429 is not a prime number.

• How to find prime factorization of 7429 easily?

  To find prime factorization of 7429 easily you can refer to the steps given on this page step by step.

• Which is the largest prime factors of 7429?

  The largest prime factor of 7429 is 23.