Prime Factors of 1044

Steps to find Prime Factors of 1044 by Division Method

To find the primefactors of 1044 using the division method, follow these steps:

• Step 1. Start dividing 1044 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 1044, which is 2. Divide 1044 by 2 to obtain the quotient (522).
  1044 ÷ 2 = 522
• Step 3. Repeat step 1 with the obtained quotient (522).
  522 ÷ 2 = 261
  261 ÷ 3 = 87
  87 ÷ 3 = 29
  29 ÷ 29 = 1

So, the prime factorization of 1044 is, 1044 = 2 x 2 x 3 x 3 x 29.

Steps to find Prime Factors of 1044 by Factor Tree Method

We can follow the same procedure using the factor tree of 1044 as shown below:

So, the prime factorization of 1044 is, 1044 = 2 x 2 x 3 x 3 x 29.

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 1044 are 2 x 2 x 3 x 3 x 29.

Properties of Prime Factors

• For any given number there is one and only one set of unique prime factors.
• Any number can have only 1 even prime factor and that is number 2.
• Two prime factors are always coprime to each other.
• 1 is the factor of any given number, but 1 is neither a prime number nor a composite number. So, 1 is the factor of 1044 but not a prime factor of 1044.

Frequently Asked Questions

• Which is the smallest prime factor of 1044?

  Smallest prime factor of 1044 is 2.

• What is the prime factorization of 1044?

  Prime factorization of 1044 is 2 x 2 x 3 x 3 x 29.

• What are the factors of 1044?

  Factors of 1044 are 1 , 2 , 3 , 4 , 6 , 9 , 12 , 18 , 29 , 36 , 58 , 87 , 116 , 174 , 261 , 348 , 522 , 1044.

• Is 1044 a prime number or a composite number?

  1044 is a composite number.

• Is 1044 a prime number?

  false, 1044 is not a prime number.

• Which is the largest prime factors of 1044?

  The largest prime factor of 1044 is 29.

• What is the sum of all prime factors of 1044?

  Prime factors of 1044 are 2 x 2 x 3 x 3 x 29. Therefore, their sum is 39.

• What numbers are the prime factors of 1044?

  Prime factors of 1044 are 2 , 2 , 3 , 3 , 29.

• What is the sum of all odd prime factors of 1044?

  Prime factors of 1044 are 2 , 2 , 3 , 3 , 29, out of which 3 , 3 , 29 are odd numbers. So, the sum of odd prime factors of 1044 is 3 + 3 + 29 = 35.