Prime Factors of 1404

Steps to find Prime Factors of 1404 by Division Method

To find the primefactors of 1404 using the division method, follow these steps:

• Step 1. Start dividing 1404 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 1404, which is 2. Divide 1404 by 2 to obtain the quotient (702).
  1404 ÷ 2 = 702
• Step 3. Repeat step 1 with the obtained quotient (702).
  702 ÷ 2 = 351
  351 ÷ 3 = 117
  117 ÷ 3 = 39
  39 ÷ 3 = 13
  13 ÷ 13 = 1

So, the prime factorization of 1404 is, 1404 = 2 x 2 x 3 x 3 x 3 x 13.

Steps to find Prime Factors of 1404 by Factor Tree Method

We can follow the same procedure using the factor tree of 1404 as shown below:

So, the prime factorization of 1404 is, 1404 = 2 x 2 x 3 x 3 x 3 x 13.

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 1404 are 2 x 2 x 3 x 3 x 3 x 13.

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 1404 but not a prime factor of 1404.

Frequently Asked Questions

• Which is the smallest prime factor of 1404?

  Smallest prime factor of 1404 is 2.

• What is the prime factorization of 1404?

  Prime factorization of 1404 is 2 x 2 x 3 x 3 x 3 x 13.

• What are the factors of 1404?

  Factors of 1404 are 1 , 2 , 3 , 4 , 6 , 9 , 12 , 13 , 18 , 26 , 27 , 36 , 39 , 52 , 54 , 78 , 108 , 117 , 156 , 234 , 351 , 468 , 702 , 1404.

• Is 1404 a prime number or a composite number?

  1404 is a composite number.

• Is 1404 a prime number?

  false, 1404 is not a prime number.

• Which is the largest prime factors of 1404?

  The largest prime factor of 1404 is 13.

• What is the sum of all prime factors of 1404?

  Prime factors of 1404 are 2 x 2 x 3 x 3 x 3 x 13. Therefore, their sum is 26.

• What numbers are the prime factors of 1404?

  Prime factors of 1404 are 2 , 2 , 3 , 3 , 3 , 13.

• What is the sum of all odd prime factors of 1404?

  Prime factors of 1404 are 2 , 2 , 3 , 3 , 3 , 13, out of which 3 , 3 , 3 , 13 are odd numbers. So, the sum of odd prime factors of 1404 is 3 + 3 + 3 + 13 = 22.