Prime Factors of 1029

Steps to find Prime Factors of 1029 by Division Method

To find the primefactors of 1029 using the division method, follow these steps:

• Step 1. Start dividing 1029 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 1029, which is 3. Divide 1029 by 3 to obtain the quotient (343).
  1029 ÷ 3 = 343
• Step 3. Repeat step 1 with the obtained quotient (343).
  343 ÷ 7 = 49
  49 ÷ 7 = 7
  7 ÷ 7 = 1

So, the prime factorization of 1029 is, 1029 = 3 x 7 x 7 x 7.

Steps to find Prime Factors of 1029 by Factor Tree Method

We can follow the same procedure using the factor tree of 1029 as shown below:

So, the prime factorization of 1029 is, 1029 = 3 x 7 x 7 x 7.

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 1029 are 3 x 7 x 7 x 7.

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 1029 but not a prime factor of 1029.

Frequently Asked Questions

• Which is the smallest prime factor of 1029?

  Smallest prime factor of 1029 is 3.

• Is 1029 a perfect square?

  No 1029 is not a perfect square.

• What is the prime factorization of 1029?

  Prime factorization of 1029 is 3 x 7 x 7 x 7.

• What are the factors of 1029?

  Factors of 1029 are 1 , 3 , 7 , 21 , 49 , 147 , 343 , 1029.

• What is prime factorization of 1029 in exponential form?

  Prime factorization of 1029 in exponential form is 3 x 7³.

• Is 1029 a prime number or a composite number?

  1029 is a composite number.

• Is 1029 a prime number?

  false, 1029 is not a prime number.

• How to find prime factorization of 1029 easily?

  To find prime factorization of 1029 easily you can refer to the steps given on this page step by step.

• Which is the largest prime factors of 1029?

  The largest prime factor of 1029 is 7.