Prime Factors of 3564

Steps to find Prime Factors of 3564 by Division Method

To find the primefactors of 3564 using the division method, follow these steps:

• Step 1. Start dividing 3564 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 3564, which is 2. Divide 3564 by 2 to obtain the quotient (1782).
  3564 ÷ 2 = 1782
• Step 3. Repeat step 1 with the obtained quotient (1782).
  1782 ÷ 2 = 891
  891 ÷ 3 = 297
  297 ÷ 3 = 99
  99 ÷ 3 = 33
  33 ÷ 3 = 11
  11 ÷ 11 = 1

So, the prime factorization of 3564 is, 3564 = 2 x 2 x 3 x 3 x 3 x 3 x 11.

Steps to find Prime Factors of 3564 by Factor Tree Method

We can follow the same procedure using the factor tree of 3564 as shown below:

So, the prime factorization of 3564 is, 3564 = 2 x 2 x 3 x 3 x 3 x 3 x 11.

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 3564 are 2 x 2 x 3 x 3 x 3 x 3 x 11.

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 3564 but not a prime factor of 3564.

Frequently Asked Questions

• Which is the smallest prime factor of 3564?

  Smallest prime factor of 3564 is 2.

• What is the prime factorization of 3564?

  Prime factorization of 3564 is 2 x 2 x 3 x 3 x 3 x 3 x 11.

• What are the factors of 3564?

  Factors of 3564 are 1 , 2 , 3 , 4 , 6 , 9 , 11 , 12 , 18 , 22 , 27 , 33 , 36 , 44 , 54 , 66 , 81 , 99 , 108 , 132 , 162 , 198 , 297 , 324 , 396 , 594 , 891 , 1188 , 1782 , 3564.

• Is 3564 a prime number or a composite number?

  3564 is a composite number.

• Is 3564 a prime number?

  false, 3564 is not a prime number.

• Which is the largest prime factors of 3564?

  The largest prime factor of 3564 is 11.

• What is the sum of all prime factors of 3564?

  Prime factors of 3564 are 2 x 2 x 3 x 3 x 3 x 3 x 11. Therefore, their sum is 27.

• What numbers are the prime factors of 3564?

  Prime factors of 3564 are 2 , 2 , 3 , 3 , 3 , 3 , 11.

• What is the sum of all odd prime factors of 3564?

  Prime factors of 3564 are 2 , 2 , 3 , 3 , 3 , 3 , 11, out of which 3 , 3 , 3 , 3 , 11 are odd numbers. So, the sum of odd prime factors of 3564 is 3 + 3 + 3 + 3 + 11 = 23.