# Prime Factors of 1002

Prime Factors of 1002 are 2, 3, and 167

#### How to find prime factors of a number

 1.   Prime Factorization of 1002 by Division Method 2.   Prime Factorization of 1002 by Factor Tree Method 3.   Definition of Prime Factors 4.   Frequently Asked Questions

#### Steps to find Prime Factors of 1002 by Division Method

To find the primefactors of 1002 using the division method, follow these steps:

• Step 1. Start dividing 1002 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 1002, which is 2. Divide 1002 by 2 to obtain the quotient (501).
1002 ÷ 2 = 501
• Step 3. Repeat step 1 with the obtained quotient (501).
501 ÷ 3 = 167
167 ÷ 167 = 1

So, the prime factorization of 1002 is, 1002 = 2 x 3 x 167.

#### Steps to find Prime Factors of 1002 by Factor Tree Method

We can follow the same procedure using the factor tree of 1002 as shown below:

So, the prime factorization of 1002 is, 1002 = 2 x 3 x 167.

#### 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 1002 are 2 x 3 x 167.

#### 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 1002 but not a prime factor of 1002.

• Is 1002 a prime number?

false, 1002 is not a prime number.

• How to find prime factorization of 1002 easily?

To find prime factorization of 1002 easily you can refer to the steps given on this page step by step.

• Which is the largest prime factors of 1002?

The largest prime factor of 1002 is 167.

• What is the sum of all prime factors of 1002?

Prime factors of 1002 are 2 x 3 x 167. Therefore, their sum is 172.

• What is the product of all prime factors of 1002?

Prime factors of 1002 are 2 x 3 x 167. Therefore, their product is 1002.

• What numbers are the prime factors of 1002?

Prime factors of 1002 are 2 , 3 , 167.

• What is the sum of all odd prime factors of 1002?

Prime factors of 1002 are 2 , 3 , 167, out of which 3 , 167 are odd numbers. So, the sum of odd prime factors of 1002 is 3 + 167 = 170.

• Is there any even prime factor of 1002?

Yes there is a even prime factor of 1002.

• What is the product of all odd prime factors of 1002?

Prime factors of 1002 are 2 , 3 , 167, out of which 3 , 167 are odd numbers. So, the product of odd prime factors of 1002 is 3 x 167 = 501.