# Prime Factors of 1073

Prime Factors of 1073 are 29 and 37

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

 1.   Prime Factorization of 1073 by Division Method 2.   Prime Factorization of 1073 by Factor Tree Method 3.   Definition of Prime Factors 4.   Frequently Asked Questions

#### Steps to find Prime Factors of 1073 by Division Method

To find the primefactors of 1073 using the division method, follow these steps:

• Step 1. Start dividing 1073 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 1073, which is 29. Divide 1073 by 29 to obtain the quotient (37).
1073 ÷ 29 = 37
• Step 3. Repeat step 1 with the obtained quotient (37).
37 ÷ 37 = 1

So, the prime factorization of 1073 is, 1073 = 29 x 37.

#### Steps to find Prime Factors of 1073 by Factor Tree Method

We can follow the same procedure using the factor tree of 1073 as shown below:

So, the prime factorization of 1073 is, 1073 = 29 x 37.

#### 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 1073 are 29 x 37.

#### 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 1073 but not a prime factor of 1073.

• Which is the smallest prime factor of 1073?

Smallest prime factor of 1073 is 29.

• What is the prime factorization of 1073?

Prime factorization of 1073 is 29 x 37.

• What is prime factorization of 1073 in exponential form?

Prime factorization of 1073 in exponential form is 29 x 37.

• Is 1073 a prime number or a composite number?

1073 is a composite number.

• Is 1073 a prime number?

false, 1073 is not a prime number.

• How to find prime factorization of 1073 easily?

To find prime factorization of 1073 easily you can refer to the steps given on this page step by step.

• Which is the largest prime factors of 1073?

The largest prime factor of 1073 is 37.

• What is the product of all prime factors of 1073?

Prime factors of 1073 are 29 x 37. Therefore, their product is 1073.

• What is the sum of all odd prime factors of 1073?

Prime factors of 1073 are 29 , 37, out of which 29 , 37 are odd numbers. So, the sum of odd prime factors of 1073 is 29 + 37 = 66.