Prime Factors of 63

Steps to find Prime Factors of 63 by Division Method

To find the primefactors of 63 using the division method, follow these steps:

• Step 1. Start dividing 63 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 63, which is 3. Divide 63 by 3 to obtain the quotient (21).
  63 ÷ 3 = 21
• Step 3. Repeat step 1 with the obtained quotient (21).
  21 ÷ 3 = 7
  7 ÷ 7 = 1

So, the prime factorization of 63 is, 63 = 3 x 3 x 7.

Steps to find Prime Factors of 63 by Factor Tree Method

We can follow the same procedure using the factor tree of 63 as shown below:

So, the prime factorization of 63 is, 63 = 3 x 3 x 7.

What does Prime factor in mathematics mean?

Prime numbers, in mathematics are all those whole numbers greater than 1 having exactly two divisors that is 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 63 are 3 x 3 x 7.

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 63 but not a prime factor of 63.

Frequently Asked Questions

• Which is the smallest prime factor of 63?

  Smallest prime factor of 63 is 3.

• What are the factors of 63?

  Factors of 63 are 1 , 3 , 7 , 9 , 21 , 63.

• What is prime factorization of 63 in exponential form?

  Prime factorization of 63 in exponential form is 3² x 7.

• Is 63 a prime number or a composite number?

  63 is a composite number.

• Is 63 a prime number?

  false, 63 is not a prime number.

• What is the sum of all prime factors of 63?

  Prime factors of 63 are 3 x 3 x 7. Therefore, their sum is 13.

• What is the product of all prime factors of 63?

  Prime factors of 63 are 3 x 3 x 7. Therefore, their product is 63.

• What numbers are the prime factors of 63?

  Prime factors of 63 are 3 , 3 , 7.

• What is the sum of all odd prime factors of 63?

  Prime factors of 63 are 3 , 3 , 7, out of which 3 , 3 , 7 are odd numbers. So, the sum of odd prime factors of 63 is 3 + 3 + 7 = 13.