# Prime Factors of 3822

Prime Factors of 3822 are 2, 3, 7, 7, and 13

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

 1.   Prime Factorization of 3822 by Division Method 2.   Prime Factorization of 3822 by Factor Tree Method 3.   Definition of Prime Factors 4.   Frequently Asked Questions

#### Steps to find Prime Factors of 3822 by Division Method

To find the primefactors of 3822 using the division method, follow these steps:

• Step 1. Start dividing 3822 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 3822, which is 2. Divide 3822 by 2 to obtain the quotient (1911).
3822 ÷ 2 = 1911
• Step 3. Repeat step 1 with the obtained quotient (1911).
1911 ÷ 3 = 637
637 ÷ 7 = 91
91 ÷ 7 = 13
13 ÷ 13 = 1

So, the prime factorization of 3822 is, 3822 = 2 x 3 x 7 x 7 x 13.

#### Steps to find Prime Factors of 3822 by Factor Tree Method

We can follow the same procedure using the factor tree of 3822 as shown below:

So, the prime factorization of 3822 is, 3822 = 2 x 3 x 7 x 7 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 3822 are 2 x 3 x 7 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 3822 but not a prime factor of 3822.

• Which is the smallest prime factor of 3822?

Smallest prime factor of 3822 is 2.

• Is 3822 a perfect square?

No 3822 is not a perfect square.

• What is the prime factorization of 3822?

Prime factorization of 3822 is 2 x 3 x 7 x 7 x 13.

• What are the factors of 3822?

Factors of 3822 are 1 , 2 , 3 , 6 , 7 , 13 , 14 , 21 , 26 , 39 , 42 , 49 , 78 , 91 , 98 , 147 , 182 , 273 , 294 , 546 , 637 , 1274 , 1911 , 3822.

• What is the product of all prime factors of 3822?

Prime factors of 3822 are 2 x 3 x 7 x 7 x 13. Therefore, their product is 3822.

• What numbers are the prime factors of 3822?

Prime factors of 3822 are 2 , 3 , 7 , 7 , 13.

• What is the sum of all odd prime factors of 3822?

Prime factors of 3822 are 2 , 3 , 7 , 7 , 13, out of which 3 , 7 , 7 , 13 are odd numbers. So, the sum of odd prime factors of 3822 is 3 + 7 + 7 + 13 = 30.

• Is there any even prime factor of 3822?

Yes there is a even prime factor of 3822.

• What is the product of all odd prime factors of 3822?

Prime factors of 3822 are 2 , 3 , 7 , 7 , 13, out of which 3 , 7 , 7 , 13 are odd numbers. So, the product of odd prime factors of 3822 is 3 x 7 x 7 x 13 = 1911.