Prime Factors of 3443

Prime Factors of 3443 are 11 and 313

How to find prime factors of a number

 1.   Prime Factorization of 3443 by Division Method 2.   Prime Factorization of 3443 by Factor Tree Method 3.   Definition of Prime Factors 4.   Frequently Asked Questions

Steps to find Prime Factors of 3443 by Division Method

To find the primefactors of 3443 using the division method, follow these steps:

• Step 1. Start dividing 3443 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 3443, which is 11. Divide 3443 by 11 to obtain the quotient (313).
3443 ÷ 11 = 313
• Step 3. Repeat step 1 with the obtained quotient (313).
313 ÷ 313 = 1

So, the prime factorization of 3443 is, 3443 = 11 x 313.

Steps to find Prime Factors of 3443 by Factor Tree Method

We can follow the same procedure using the factor tree of 3443 as shown below:

So, the prime factorization of 3443 is, 3443 = 11 x 313.

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 3443 are 11 x 313.

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 3443 but not a prime factor of 3443.

• Which is the smallest prime factor of 3443?

Smallest prime factor of 3443 is 11.

• Is 3443 a perfect square?

No 3443 is not a perfect square.

• What is the prime factorization of 3443?

Prime factorization of 3443 is 11 x 313.

• What is prime factorization of 3443 in exponential form?

Prime factorization of 3443 in exponential form is 11 x 313.

• Is 3443 a prime number?

false, 3443 is not a prime number.

• Which is the largest prime factors of 3443?

The largest prime factor of 3443 is 313.

• What is the product of all prime factors of 3443?

Prime factors of 3443 are 11 x 313. Therefore, their product is 3443.

• What is the sum of all odd prime factors of 3443?

Prime factors of 3443 are 11 , 313, out of which 11 , 313 are odd numbers. So, the sum of odd prime factors of 3443 is 11 + 313 = 324.

• What is the product of all odd prime factors of 3443?

Prime factors of 3443 are 11 , 313, out of which 11 , 313 are odd numbers. So, the product of odd prime factors of 3443 is 11 x 313 = 3443.