Prime Factors of 343343

Steps to find Prime Factors of 343343 by Division Method

To find the primefactors of 343343 using the division method, follow these steps:

• Step 1. Start dividing 343343 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 343343, which is 7. Divide 343343 by 7 to obtain the quotient (49049).
  343343 ÷ 7 = 49049
• Step 3. Repeat step 1 with the obtained quotient (49049).
  49049 ÷ 7 = 7007
  7007 ÷ 7 = 1001
  1001 ÷ 7 = 143
  143 ÷ 11 = 13
  13 ÷ 13 = 1

So, the prime factorization of 343343 is, 343343 = 7 x 7 x 7 x 7 x 11 x 13.

Steps to find Prime Factors of 343343 by Factor Tree Method

We can follow the same procedure using the factor tree of 343343 as shown below:

So, the prime factorization of 343343 is, 343343 = 7 x 7 x 7 x 7 x 11 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 343343 are 7 x 7 x 7 x 7 x 11 x 13.

Properties of Prime Factors

• For any given number there is one and only one set of unique prime factors.
• 2 is the only even prime number. So, any given number can have only one even prime factor and that is 2.
• Two prime factors of a given number 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 343343 but not a prime factor of 343343.

Frequently Asked Questions

• Which is the smallest prime factor of 343343?

  Smallest prime factor of 343343 is 7.

• What are the factors of 343343?

  Factors of 343343 are 1 , 7 , 11 , 13 , 49 , 77 , 91 , 143 , 343 , 539 , 637 , 1001 , 2401 , 3773 , 4459 , 7007 , 26411 , 31213 , 49049 , 343343.

• What is prime factorization of 343343 in exponential form?

  Prime factorization of 343343 in exponential form is 7⁴ x 11 x 13.

• Is 343343 a prime number or a composite number?

  343343 is a composite number.

• Is 343343 a prime number?

  false, 343343 is not a prime number.

• What is the sum of all prime factors of 343343?

  Prime factors of 343343 are 7 x 7 x 7 x 7 x 11 x 13. Therefore, their sum is 52.

• What is the product of all prime factors of 343343?

  Prime factors of 343343 are 7 x 7 x 7 x 7 x 11 x 13. Therefore, their product is 343343.

• What numbers are the prime factors of 343343?

  Prime factors of 343343 are 7 , 7 , 7 , 7 , 11 , 13.

• What is the sum of all odd prime factors of 343343?

  Prime factors of 343343 are 7 , 7 , 7 , 7 , 11 , 13, out of which 7 , 7 , 7 , 7 , 11 , 13 are odd numbers. So, the sum of odd prime factors of 343343 is 7 + 7 + 7 + 7 + 11 + 13 = 52.