# Prime Factors of 1729

Prime Factors of 1729 are 7, 13, and 19

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

 1.   Prime Factorization of 1729 by Division Method 2.   Prime Factorization of 1729 by Factor Tree Method 3.   Definition of Prime Factors 4.   Frequently Asked Questions

#### Steps to find Prime Factors of 1729 by Division Method

To find the primefactors of 1729 using the division method, follow these steps:

• Step 1. Start dividing 1729 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 1729, which is 7. Divide 1729 by 7 to obtain the quotient (247).
1729 ÷ 7 = 247
• Step 3. Repeat step 1 with the obtained quotient (247).
247 ÷ 13 = 19
19 ÷ 19 = 1

So, the prime factorization of 1729 is, 1729 = 7 x 13 x 19.

#### Steps to find Prime Factors of 1729 by Factor Tree Method

We can follow the same procedure using the factor tree of 1729 as shown below:

So, the prime factorization of 1729 is, 1729 = 7 x 13 x 19.

#### What does Prime factor of a number mean?

A prime number in mathematics is defined as any natural number greater than 1, that is not divisible by any number except 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 1729 are 7 x 13 x 19.

#### 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 1729 but not a prime factor of 1729.

• Which is the smallest prime factor of 1729?

Smallest prime factor of 1729 is 7.

• What is the prime factorization of 1729?

Prime factorization of 1729 is 7 x 13 x 19.

• What is prime factorization of 1729 in exponential form?

Prime factorization of 1729 in exponential form is 7 x 13 x 19.

• Is 1729 a prime number or a composite number?

1729 is a composite number.

• Is 1729 a prime number?

false, 1729 is not a prime number.

• How to find prime factorization of 1729 easily?

To find prime factorization of 1729 easily you can refer to the steps given on this page step by step.

• Which is the largest prime factors of 1729?

The largest prime factor of 1729 is 19.

• What is the product of all prime factors of 1729?

Prime factors of 1729 are 7 x 13 x 19. Therefore, their product is 1729.

• What is the sum of all odd prime factors of 1729?

Prime factors of 1729 are 7 , 13 , 19, out of which 7 , 13 , 19 are odd numbers. So, the sum of odd prime factors of 1729 is 7 + 13 + 19 = 39.