Prime Factors of 1638

Steps to find Prime Factors of 1638 by Division Method

To find the primefactors of 1638 using the division method, follow these steps:

• Step 1. Start dividing 1638 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 1638, which is 2. Divide 1638 by 2 to obtain the quotient (819).
  1638 ÷ 2 = 819
• Step 3. Repeat step 1 with the obtained quotient (819).
  819 ÷ 3 = 273
  273 ÷ 3 = 91
  91 ÷ 7 = 13
  13 ÷ 13 = 1

So, the prime factorization of 1638 is, 1638 = 2 x 3 x 3 x 7 x 13.

Steps to find Prime Factors of 1638 by Factor Tree Method

We can follow the same procedure using the factor tree of 1638 as shown below:

So, the prime factorization of 1638 is, 1638 = 2 x 3 x 3 x 7 x 13.

What does Prime factor in mathematics mean?

Prime numbers, in mathematics are all those whole numbers greater than 1 having exactly two divisors that is 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 1638 are 2 x 3 x 3 x 7 x 13.

Properties of Prime Factors

• Two prime factors of a given number are always coprime to each other.
• 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 1638 but not a prime factor of 1638.

Frequently Asked Questions

• Which is the smallest prime factor of 1638?

  Smallest prime factor of 1638 is 2.

• Is 1638 a perfect square?

  No 1638 is not a perfect square.

• What is the prime factorization of 1638?

  Prime factorization of 1638 is 2 x 3 x 3 x 7 x 13.

• What are the factors of 1638?

  Factors of 1638 are 1 , 2 , 3 , 6 , 7 , 9 , 13 , 14 , 18 , 21 , 26 , 39 , 42 , 63 , 78 , 91 , 117 , 126 , 182 , 234 , 273 , 546 , 819 , 1638.

• What is the product of all prime factors of 1638?

  Prime factors of 1638 are 2 x 3 x 3 x 7 x 13. Therefore, their product is 1638.

• What numbers are the prime factors of 1638?

  Prime factors of 1638 are 2 , 3 , 3 , 7 , 13.

• What is the sum of all odd prime factors of 1638?

  Prime factors of 1638 are 2 , 3 , 3 , 7 , 13, out of which 3 , 3 , 7 , 13 are odd numbers. So, the sum of odd prime factors of 1638 is 3 + 3 + 7 + 13 = 26.

• Is there any even prime factor of 1638?

  Yes there is a even prime factor of 1638.

• What is the product of all odd prime factors of 1638?

  Prime factors of 1638 are 2 , 3 , 3 , 7 , 13, out of which 3 , 3 , 7 , 13 are odd numbers. So, the product of odd prime factors of 1638 is 3 x 3 x 7 x 13 = 819.