# Prime Factors of 1053

Prime Factors of 1053 are 3, 3, 3, 3, and 13

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

 1.   Prime Factorization of 1053 by Division Method 2.   Prime Factorization of 1053 by Factor Tree Method 3.   Definition of Prime Factors 4.   Frequently Asked Questions

#### Steps to find Prime Factors of 1053 by Division Method

To find the primefactors of 1053 using the division method, follow these steps:

• Step 1. Start dividing 1053 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 1053, which is 3. Divide 1053 by 3 to obtain the quotient (351).
1053 ÷ 3 = 351
• Step 3. Repeat step 1 with the obtained quotient (351).
351 ÷ 3 = 117
117 ÷ 3 = 39
39 ÷ 3 = 13
13 ÷ 13 = 1

So, the prime factorization of 1053 is, 1053 = 3 x 3 x 3 x 3 x 13.

#### Steps to find Prime Factors of 1053 by Factor Tree Method

We can follow the same procedure using the factor tree of 1053 as shown below:

So, the prime factorization of 1053 is, 1053 = 3 x 3 x 3 x 3 x 13.

#### What does Prime factor in mathematics mean?

Prime numbers, in mathematics are all those whole numbers greater than 1 having exactly two divisors that is 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 1053 are 3 x 3 x 3 x 3 x 13.

#### 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 1053 but not a prime factor of 1053.

• Which is the smallest prime factor of 1053?

Smallest prime factor of 1053 is 3.

• Is 1053 a perfect square?

No 1053 is not a perfect square.

• What is the prime factorization of 1053?

Prime factorization of 1053 is 3 x 3 x 3 x 3 x 13.

• What are the factors of 1053?

Factors of 1053 are 1 , 3 , 9 , 13 , 27 , 39 , 81 , 117 , 351 , 1053.

• What is prime factorization of 1053 in exponential form?

Prime factorization of 1053 in exponential form is 34 x 13.

• Is 1053 a prime number or a composite number?

1053 is a composite number.

• Is 1053 a prime number?

false, 1053 is not a prime number.

• How to find prime factorization of 1053 easily?

To find prime factorization of 1053 easily you can refer to the steps given on this page step by step.

• Which is the largest prime factors of 1053?

The largest prime factor of 1053 is 13.