Prime Factors of 3699

Steps to find Prime Factors of 3699 by Division Method

To find the primefactors of 3699 using the division method, follow these steps:

• Step 1. Start dividing 3699 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 3699, which is 3. Divide 3699 by 3 to obtain the quotient (1233).
  3699 ÷ 3 = 1233
• Step 3. Repeat step 1 with the obtained quotient (1233).
  1233 ÷ 3 = 411
  411 ÷ 3 = 137
  137 ÷ 137 = 1

So, the prime factorization of 3699 is, 3699 = 3 x 3 x 3 x 137.

Steps to find Prime Factors of 3699 by Factor Tree Method

We can follow the same procedure using the factor tree of 3699 as shown below:

So, the prime factorization of 3699 is, 3699 = 3 x 3 x 3 x 137.

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 3699 are 3 x 3 x 3 x 137.

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 3699 but not a prime factor of 3699.

Frequently Asked Questions

• Which is the smallest prime factor of 3699?

  Smallest prime factor of 3699 is 3.

• Is 3699 a perfect square?

  No 3699 is not a perfect square.

• What is the prime factorization of 3699?

  Prime factorization of 3699 is 3 x 3 x 3 x 137.

• What is prime factorization of 3699 in exponential form?

  Prime factorization of 3699 in exponential form is 3³ x 137.

• Is 3699 a prime number?

  false, 3699 is not a prime number.

• Which is the largest prime factors of 3699?

  The largest prime factor of 3699 is 137.

• What is the product of all prime factors of 3699?

  Prime factors of 3699 are 3 x 3 x 3 x 137. Therefore, their product is 3699.

• What is the sum of all odd prime factors of 3699?

  Prime factors of 3699 are 3 , 3 , 3 , 137, out of which 3 , 3 , 3 , 137 are odd numbers. So, the sum of odd prime factors of 3699 is 3 + 3 + 3 + 137 = 146.

• What is the product of all odd prime factors of 3699?

  Prime factors of 3699 are 3 , 3 , 3 , 137, out of which 3 , 3 , 3 , 137 are odd numbers. So, the product of odd prime factors of 3699 is 3 x 3 x 3 x 137 = 3699.