# Prime Factors of 465

Prime Factors of 465 are 3, 5, and 31

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

 1.   Prime Factorization of 465 by Division Method 2.   Prime Factorization of 465 by Factor Tree Method 3.   Definition of Prime Factors 4.   Frequently Asked Questions

#### Steps to find Prime Factors of 465 by Division Method

To find the primefactors of 465 using the division method, follow these steps:

• Step 1. Start dividing 465 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 465, which is 3. Divide 465 by 3 to obtain the quotient (155).
465 ÷ 3 = 155
• Step 3. Repeat step 1 with the obtained quotient (155).
155 ÷ 5 = 31
31 ÷ 31 = 1

So, the prime factorization of 465 is, 465 = 3 x 5 x 31.

#### Steps to find Prime Factors of 465 by Factor Tree Method

We can follow the same procedure using the factor tree of 465 as shown below:

So, the prime factorization of 465 is, 465 = 3 x 5 x 31.

#### Definition of Prime Factors?

In mathematics, prime numbers are defined as all those whole numbers greater than 1 that have only two factors, i.e. 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 465 are 3 x 5 x 31.

#### Properties of Prime Factors

• Prime factors are the set of factors that are unique to the number given.
• 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 465 but not a prime factor of 465.

• Which is the smallest prime factor of 465?

Smallest prime factor of 465 is 3.

• What is the prime factorization of 465?

Prime factorization of 465 is 3 x 5 x 31.

• What is prime factorization of 465 in exponential form?

Prime factorization of 465 in exponential form is 3 x 5 x 31.

• Is 465 a prime number or a composite number?

465 is a composite number.

• Is 465 a prime number?

false, 465 is not a prime number.

• How to find prime factorization of 465 easily?

To find prime factorization of 465 easily you can refer to the steps given on this page step by step.

• Which is the largest prime factors of 465?

The largest prime factor of 465 is 31.

• What is the product of all prime factors of 465?

Prime factors of 465 are 3 x 5 x 31. Therefore, their product is 465.

• What is the sum of all odd prime factors of 465?

Prime factors of 465 are 3 , 5 , 31, out of which 3 , 5 , 31 are odd numbers. So, the sum of odd prime factors of 465 is 3 + 5 + 31 = 39.