Prime Factors of 1804

Steps to find Prime Factors of 1804 by Division Method

To find the primefactors of 1804 using the division method, follow these steps:

• Step 1. Start dividing 1804 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 1804, which is 2. Divide 1804 by 2 to obtain the quotient (902).
  1804 ÷ 2 = 902
• Step 3. Repeat step 1 with the obtained quotient (902).
  902 ÷ 2 = 451
  451 ÷ 11 = 41
  41 ÷ 41 = 1

So, the prime factorization of 1804 is, 1804 = 2 x 2 x 11 x 41.

Steps to find Prime Factors of 1804 by Factor Tree Method

We can follow the same procedure using the factor tree of 1804 as shown below:

So, the prime factorization of 1804 is, 1804 = 2 x 2 x 11 x 41.

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 1804 are 2 x 2 x 11 x 41.

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 1804 but not a prime factor of 1804.

Frequently Asked Questions

• Which is the smallest prime factor of 1804?

  Smallest prime factor of 1804 is 2.

• What is the prime factorization of 1804?

  Prime factorization of 1804 is 2 x 2 x 11 x 41.

• What are the factors of 1804?

  Factors of 1804 are 1 , 2 , 4 , 11 , 22 , 41 , 44 , 82 , 164 , 451 , 902 , 1804.

• Is 1804 a prime number or a composite number?

  1804 is a composite number.

• Is 1804 a prime number?

  false, 1804 is not a prime number.

• Which is the largest prime factors of 1804?

  The largest prime factor of 1804 is 41.

• What is the sum of all prime factors of 1804?

  Prime factors of 1804 are 2 x 2 x 11 x 41. Therefore, their sum is 56.

• What numbers are the prime factors of 1804?

  Prime factors of 1804 are 2 , 2 , 11 , 41.

• What is the sum of all odd prime factors of 1804?

  Prime factors of 1804 are 2 , 2 , 11 , 41, out of which 11 , 41 are odd numbers. So, the sum of odd prime factors of 1804 is 11 + 41 = 52.