Prime Factors of 15015

Steps to find Prime Factors of 15015 by Division Method

To find the primefactors of 15015 using the division method, follow these steps:

• Step 1. Start dividing 15015 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 15015, which is 3. Divide 15015 by 3 to obtain the quotient (5005).
  15015 ÷ 3 = 5005
• Step 3. Repeat step 1 with the obtained quotient (5005).
  5005 ÷ 5 = 1001
  1001 ÷ 7 = 143
  143 ÷ 11 = 13
  13 ÷ 13 = 1

So, the prime factorization of 15015 is, 15015 = 3 x 5 x 7 x 11 x 13.

Steps to find Prime Factors of 15015 by Factor Tree Method

We can follow the same procedure using the factor tree of 15015 as shown below:

So, the prime factorization of 15015 is, 15015 = 3 x 5 x 7 x 11 x 13.

Definition of Prime Factors?

In mathematics, prime numbers are defined as all those whole numbers greater than 1 that have only two factors, i.e. 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 15015 are 3 x 5 x 7 x 11 x 13.

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 15015 but not a prime factor of 15015.

Frequently Asked Questions

• Which is the smallest prime factor of 15015?

  Smallest prime factor of 15015 is 3.

• What are the factors of 15015?

  Factors of 15015 are 1 , 3 , 5 , 7 , 11 , 13 , 15 , 21 , 33 , 35 , 39 , 55 , 65 , 77 , 91 , 105 , 143 , 165 , 195 , 231 , 273 , 385 , 429 , 455 , 715 , 1001 , 1155 , 1365 , 2145 , 3003 , 5005 , 15015.

• What is prime factorization of 15015 in exponential form?

  Prime factorization of 15015 in exponential form is 3 x 5 x 7 x 11 x 13.

• Is 15015 a prime number or a composite number?

  15015 is a composite number.

• Is 15015 a prime number?

  false, 15015 is not a prime number.

• What is the sum of all prime factors of 15015?

  Prime factors of 15015 are 3 x 5 x 7 x 11 x 13. Therefore, their sum is 39.

• What is the product of all prime factors of 15015?

  Prime factors of 15015 are 3 x 5 x 7 x 11 x 13. Therefore, their product is 15015.

• What numbers are the prime factors of 15015?

  Prime factors of 15015 are 3 , 5 , 7 , 11 , 13.

• What is the sum of all odd prime factors of 15015?

  Prime factors of 15015 are 3 , 5 , 7 , 11 , 13, out of which 3 , 5 , 7 , 11 , 13 are odd numbers. So, the sum of odd prime factors of 15015 is 3 + 5 + 7 + 11 + 13 = 39.