Prime Factors of 2142

Steps to find Prime Factors of 2142 by Division Method

To find the primefactors of 2142 using the division method, follow these steps:

• Step 1. Start dividing 2142 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 2142, which is 2. Divide 2142 by 2 to obtain the quotient (1071).
  2142 ÷ 2 = 1071
• Step 3. Repeat step 1 with the obtained quotient (1071).
  1071 ÷ 3 = 357
  357 ÷ 3 = 119
  119 ÷ 7 = 17
  17 ÷ 17 = 1

So, the prime factorization of 2142 is, 2142 = 2 x 3 x 3 x 7 x 17.

Steps to find Prime Factors of 2142 by Factor Tree Method

We can follow the same procedure using the factor tree of 2142 as shown below:

So, the prime factorization of 2142 is, 2142 = 2 x 3 x 3 x 7 x 17.

How do you define Prime Factors of a number?

Prime numbers, in mathematics are all those natural numbers greater than 1 that have exactly 2 factors which are 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 2142 are 2 x 3 x 3 x 7 x 17.

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 2142 but not a prime factor of 2142.

Frequently Asked Questions

• Which is the smallest prime factor of 2142?

  Smallest prime factor of 2142 is 2.

• Is 2142 a perfect square?

  No 2142 is not a perfect square.

• What is the prime factorization of 2142?

  Prime factorization of 2142 is 2 x 3 x 3 x 7 x 17.

• What are the factors of 2142?

  Factors of 2142 are 1 , 2 , 3 , 6 , 7 , 9 , 14 , 17 , 18 , 21 , 34 , 42 , 51 , 63 , 102 , 119 , 126 , 153 , 238 , 306 , 357 , 714 , 1071 , 2142.

• What is the product of all prime factors of 2142?

  Prime factors of 2142 are 2 x 3 x 3 x 7 x 17. Therefore, their product is 2142.

• What numbers are the prime factors of 2142?

  Prime factors of 2142 are 2 , 3 , 3 , 7 , 17.

• What is the sum of all odd prime factors of 2142?

  Prime factors of 2142 are 2 , 3 , 3 , 7 , 17, out of which 3 , 3 , 7 , 17 are odd numbers. So, the sum of odd prime factors of 2142 is 3 + 3 + 7 + 17 = 30.

• Is there any even prime factor of 2142?

  Yes there is a even prime factor of 2142.

• What is the product of all odd prime factors of 2142?

  Prime factors of 2142 are 2 , 3 , 3 , 7 , 17, out of which 3 , 3 , 7 , 17 are odd numbers. So, the product of odd prime factors of 2142 is 3 x 3 x 7 x 17 = 1071.