Prime Factors of 3332

Steps to find Prime Factors of 3332 by Division Method

To find the primefactors of 3332 using the division method, follow these steps:

• Step 1. Start dividing 3332 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 3332, which is 2. Divide 3332 by 2 to obtain the quotient (1666).
  3332 ÷ 2 = 1666
• Step 3. Repeat step 1 with the obtained quotient (1666).
  1666 ÷ 2 = 833
  833 ÷ 7 = 119
  119 ÷ 7 = 17
  17 ÷ 17 = 1

So, the prime factorization of 3332 is, 3332 = 2 x 2 x 7 x 7 x 17.

Steps to find Prime Factors of 3332 by Factor Tree Method

We can follow the same procedure using the factor tree of 3332 as shown below:

So, the prime factorization of 3332 is, 3332 = 2 x 2 x 7 x 7 x 17.

How do you define Prime Factors of a number?

Prime numbers, in mathematics are all those natural numbers greater than 1 that have exactly 2 factors which are 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 3332 are 2 x 2 x 7 x 7 x 17.

Properties of Prime Factors

• For any given number there is one and only one set of unique prime factors.
• Any number can have only 1 even prime factor and that is number 2.
• Two prime factors are always coprime to each other.
• 1 is the factor of any given number, but 1 is neither a prime number nor a composite number. So, 1 is the factor of 3332 but not a prime factor of 3332.

Frequently Asked Questions

• Which is the smallest prime factor of 3332?

  Smallest prime factor of 3332 is 2.

• What is the prime factorization of 3332?

  Prime factorization of 3332 is 2 x 2 x 7 x 7 x 17.

• What are the factors of 3332?

  Factors of 3332 are 1 , 2 , 4 , 7 , 14 , 17 , 28 , 34 , 49 , 68 , 98 , 119 , 196 , 238 , 476 , 833 , 1666 , 3332.

• Is 3332 a prime number or a composite number?

  3332 is a composite number.

• Is 3332 a prime number?

  false, 3332 is not a prime number.

• Which is the largest prime factors of 3332?

  The largest prime factor of 3332 is 17.

• What is the sum of all prime factors of 3332?

  Prime factors of 3332 are 2 x 2 x 7 x 7 x 17. Therefore, their sum is 35.

• What numbers are the prime factors of 3332?

  Prime factors of 3332 are 2 , 2 , 7 , 7 , 17.

• What is the sum of all odd prime factors of 3332?

  Prime factors of 3332 are 2 , 2 , 7 , 7 , 17, out of which 7 , 7 , 17 are odd numbers. So, the sum of odd prime factors of 3332 is 7 + 7 + 17 = 31.