Prime Factors of 3699

Prime Factors of 3699 are 3, 3, 3, and 137

How to find prime factors of a number

 1.   Prime Factorization of 3699 by Division Method 2.   Prime Factorization of 3699 by Factor Tree Method 3.   Definition of Prime Factors 4.   Frequently Asked Questions

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.

• 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.