Prime Factors of 10

Steps to find Prime Factors of 10 by Division Method

To find the primefactors of 10 using the division method, follow these steps:

• Step 1. Start dividing 10 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 10, which is 2. Divide 10 by 2 to obtain the quotient (5).
  10 ÷ 2 = 5
• Step 3. Repeat step 1 with the obtained quotient (5).
  5 ÷ 5 = 1

So, the prime factorization of 10 is, 10 = 2 x 5.

Steps to find Prime Factors of 10 by Factor Tree Method

We can follow the same procedure using the factor tree of 10 as shown below:

So, the prime factorization of 10 is, 10 = 2 x 5.

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 10 are 2 x 5.

Properties of Prime Factors

• Two prime factors of a given number are always coprime to each other.
• 2 is the only even prime factor any number can have.
• Two prime factors 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 10 but not a prime factor of 10.

Frequently Asked Questions

• Is 10 a prime number?

  false, 10 is not a prime number.

• How to find prime factorization of 10 easily?

  To find prime factorization of 10 easily you can refer to the steps given on this page step by step.

• Which is the largest prime factors of 10?

  The largest prime factor of 10 is 5.

• What is the sum of all prime factors of 10?

  Prime factors of 10 are 2 x 5. Therefore, their sum is 7.

• What is the product of all prime factors of 10?

  Prime factors of 10 are 2 x 5. Therefore, their product is 10.

• What numbers are the prime factors of 10?

  Prime factors of 10 are 2 , 5.

• What is the sum of all odd prime factors of 10?

  Prime factors of 10 are 2 , 5, out of which 5 are odd numbers. So, the sum of odd prime factors of 10 is 5 = 5.

• Is there any even prime factor of 10?

  Yes there is a even prime factor of 10.

• What is the product of all odd prime factors of 10?

  Prime factors of 10 are 2 , 5, out of which 5 are odd numbers. So, the product of odd prime factors of 10 is 5 = 5.