Prime Factorization of 135: How to Find with Solved Examples (2024)

Solved Example on Prime Factorization of 135

Here are some examples of factors already solved for you to practice.

Solved Example 1: List down the factors of 135 and separate the even and odd factors from among them.

Solution:The prime factors of 135 are 1, 3, 5, 9, 15, 27, 45, and 135. Odd factors are odd prime numbers that completely divide 135 without any reminder. The odd number are the numbers that end with 1, 3, 5, 7, and 9. Thus, 1, 3, 5, 9, 15, 27, 45, and 135 are prime factors of 135.

Solved Example 2: What is the prime factorization of 147?

Solution:All the prime numbers that are used to divide in the Prime Factor Tree are the Prime Factors of 147. Here is the math to illustrate:

147 ÷ 3 = 49

49 ÷ 7 = 7

7 ÷ 7 = 1

Again, all the prime numbers you used to divide above are the Prime Factors of 147. Thus, the Prime Factors of 147 are:
3, 7, 7.

Solved Example 3: What is the prime factorization of 17?

Solution:We define Prime Factors of 17 as all the prime numbers that when multiplied together equal 17. A prime number is an integer greater than 1 whose only factors are 1 and itself. 17 can only be divided by 1 and 17 which means that 17 is a prime number. Since 1 is neither a prime number nor a prime factor, 17 is the only Prime Factor of 17.

Also, read about Long Division.

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