Prime Factors of 2002

Steps to find Prime Factors of 2002 by Division Method

To find the primefactors of 2002 using the division method, follow these steps:

• Step 1. Start dividing 2002 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 2002, which is 2. Divide 2002 by 2 to obtain the quotient (1001).
  2002 ÷ 2 = 1001
• Step 3. Repeat step 1 with the obtained quotient (1001).
  1001 ÷ 7 = 143
  143 ÷ 11 = 13
  13 ÷ 13 = 1

So, the prime factorization of 2002 is, 2002 = 2 x 7 x 11 x 13.

Steps to find Prime Factors of 2002 by Factor Tree Method

We can follow the same procedure using the factor tree of 2002 as shown below:

So, the prime factorization of 2002 is, 2002 = 2 x 7 x 11 x 13.

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 2002 are 2 x 7 x 11 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 2002 but not a prime factor of 2002.

Frequently Asked Questions

• Is 2002 a prime number?

  false, 2002 is not a prime number.

• How to find prime factorization of 2002 easily?

  To find prime factorization of 2002 easily you can refer to the steps given on this page step by step.

• Which is the largest prime factors of 2002?

  The largest prime factor of 2002 is 13.

• What is the sum of all prime factors of 2002?

  Prime factors of 2002 are 2 x 7 x 11 x 13. Therefore, their sum is 33.

• What is the product of all prime factors of 2002?

  Prime factors of 2002 are 2 x 7 x 11 x 13. Therefore, their product is 2002.

• What numbers are the prime factors of 2002?

  Prime factors of 2002 are 2 , 7 , 11 , 13.

• What is the sum of all odd prime factors of 2002?

  Prime factors of 2002 are 2 , 7 , 11 , 13, out of which 7 , 11 , 13 are odd numbers. So, the sum of odd prime factors of 2002 is 7 + 11 + 13 = 31.

• Is there any even prime factor of 2002?

  Yes there is a even prime factor of 2002.

• What is the product of all odd prime factors of 2002?

  Prime factors of 2002 are 2 , 7 , 11 , 13, out of which 7 , 11 , 13 are odd numbers. So, the product of odd prime factors of 2002 is 7 x 11 x 13 = 1001.