# Prime Factors of 62

Prime Factors of 62 are 2 and 31

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

 1.   Prime Factorization of 62 by Division Method 2.   Prime Factorization of 62 by Factor Tree Method 3.   Definition of Prime Factors 4.   Frequently Asked Questions

#### Steps to find Prime Factors of 62 by Division Method

To find the primefactors of 62 using the division method, follow these steps:

• Step 1. Start dividing 62 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 62, which is 2. Divide 62 by 2 to obtain the quotient (31).
62 ÷ 2 = 31
• Step 3. Repeat step 1 with the obtained quotient (31).
31 ÷ 31 = 1

So, the prime factorization of 62 is, 62 = 2 x 31.

#### Steps to find Prime Factors of 62 by Factor Tree Method

We can follow the same procedure using the factor tree of 62 as shown below:

So, the prime factorization of 62 is, 62 = 2 x 31.

#### 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 62 are 2 x 31.

#### 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 62 but not a prime factor of 62.

#### Frequently Asked Questions

• Which is the smallest prime factor of 62?

Smallest prime factor of 62 is 2.

• Is 62 a perfect square?

No 62 is not a perfect square.

• What is the prime factorization of 62?

Prime factorization of 62 is 2 x 31.

• What are the factors of 62?

Factors of 62 are 1 , 2 , 31 , 62.

• What is the product of all prime factors of 62?

Prime factors of 62 are 2 x 31. Therefore, their product is 62.

• What numbers are the prime factors of 62?

Prime factors of 62 are 2 , 31.

• What is the sum of all odd prime factors of 62?

Prime factors of 62 are 2 , 31, out of which 31 are odd numbers. So, the sum of odd prime factors of 62 is 31 = 31.

• Is there any even prime factor of 62?

Yes there is a even prime factor of 62.

• What is the product of all odd prime factors of 62?

Prime factors of 62 are 2 , 31, out of which 31 are odd numbers. So, the product of odd prime factors of 62 is 31 = 31.

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