# Prime Factors of 1022

Prime Factors of 1022 are 2, 7, and 73

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

 1.   Prime Factorization of 1022 by Division Method 2.   Prime Factorization of 1022 by Factor Tree Method 3.   Definition of Prime Factors 4.   Frequently Asked Questions

#### Steps to find Prime Factors of 1022 by Division Method

To find the primefactors of 1022 using the division method, follow these steps:

• Step 1. Start dividing 1022 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 1022, which is 2. Divide 1022 by 2 to obtain the quotient (511).
1022 ÷ 2 = 511
• Step 3. Repeat step 1 with the obtained quotient (511).
511 ÷ 7 = 73
73 ÷ 73 = 1

So, the prime factorization of 1022 is, 1022 = 2 x 7 x 73.

#### Steps to find Prime Factors of 1022 by Factor Tree Method

We can follow the same procedure using the factor tree of 1022 as shown below:

So, the prime factorization of 1022 is, 1022 = 2 x 7 x 73.

#### 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 1022 are 2 x 7 x 73.

#### 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 1022 but not a prime factor of 1022.

• Which is the smallest prime factor of 1022?

Smallest prime factor of 1022 is 2.

• Is 1022 a perfect square?

No 1022 is not a perfect square.

• What is the prime factorization of 1022?

Prime factorization of 1022 is 2 x 7 x 73.

• What are the factors of 1022?

Factors of 1022 are 1 , 2 , 7 , 14 , 73 , 146 , 511 , 1022.

• What is the product of all prime factors of 1022?

Prime factors of 1022 are 2 x 7 x 73. Therefore, their product is 1022.

• What numbers are the prime factors of 1022?

Prime factors of 1022 are 2 , 7 , 73.

• What is the sum of all odd prime factors of 1022?

Prime factors of 1022 are 2 , 7 , 73, out of which 7 , 73 are odd numbers. So, the sum of odd prime factors of 1022 is 7 + 73 = 80.

• Is there any even prime factor of 1022?

Yes there is a even prime factor of 1022.

• What is the product of all odd prime factors of 1022?

Prime factors of 1022 are 2 , 7 , 73, out of which 7 , 73 are odd numbers. So, the product of odd prime factors of 1022 is 7 x 73 = 511.