# Prime Factors of 901

Prime Factors of 901 are 17 and 53

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

 1.   Prime Factorization of 901 by Division Method 2.   Prime Factorization of 901 by Factor Tree Method 3.   Definition of Prime Factors 4.   Frequently Asked Questions

#### Steps to find Prime Factors of 901 by Division Method

To find the primefactors of 901 using the division method, follow these steps:

• Step 1. Start dividing 901 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 901, which is 17. Divide 901 by 17 to obtain the quotient (53).
901 ÷ 17 = 53
• Step 3. Repeat step 1 with the obtained quotient (53).
53 ÷ 53 = 1

So, the prime factorization of 901 is, 901 = 17 x 53.

#### Steps to find Prime Factors of 901 by Factor Tree Method

We can follow the same procedure using the factor tree of 901 as shown below:

So, the prime factorization of 901 is, 901 = 17 x 53.

#### Introduction to Prime Factors?

In mathematics, prime numbers are defined as all those natural numbers greater than 1 that has only two divisors one being number 1 and the other being the number itself. When we express any number as the products of these prime numbers than these prime numbers become prime factors of that number. Eg- Prime Factors of 901 are 17 x 53.

#### 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 901 but not a prime factor of 901.

• Which is the smallest prime factor of 901?

Smallest prime factor of 901 is 17.

• Is 901 a perfect square?

No 901 is not a perfect square.

• What is the prime factorization of 901?

Prime factorization of 901 is 17 x 53.

• What are the factors of 901?

Factors of 901 are 1 , 17 , 53 , 901.

• What is prime factorization of 901 in exponential form?

Prime factorization of 901 in exponential form is 17 x 53.

• Is 901 a prime number or a composite number?

901 is a composite number.

• Is 901 a prime number?

false, 901 is not a prime number.

• How to find prime factorization of 901 easily?

To find prime factorization of 901 easily you can refer to the steps given on this page step by step.

• Which is the largest prime factors of 901?

The largest prime factor of 901 is 53.