A factor of a number is an exact divisor of that number. In other words, a factor of a number is that number which completely divides the number without leaving a remainder. Each of the numbers 1, 2, 3, 4, 6 and 12 is a factor of 12. However, none of the numbers 5, 7, 8, 9,10 and 11 is a factor of 12.

A natural number is called a **prime** or a **prime number** if it has exactly two *distinct* natural number divisors. Natural numbers greater than 1 that are not prime are called composite. Therefore, 1 is not prime, since it has only one divisor, namely 1. However, 2 and 3 are prime, since they have exactly two divisors.In number theory, the prime factors of a positive integer are the prime numbers that divide that integer exactly, without leaving a remainder. Numbers that are not prime is called composite. 20 is a composite number. Examples of prime numbers are 2, 3, 5, 7, 11 and 13.

## Prime Factors of 25

The Factors are numbers you multiply to get other number. For instance, the factors of 30 are 6 and 5, because 6×5 = 30. Some numbers are more than one factor (more than one way of being factorization). For instance, 15 can be factored as the 1×15, 3×5, or 5×3.

The number that can only be factor as 1 times itself is called prime. The few prime’s numbers are 2, 3, 5, 7, 11, and 13. The number 1 is not regard as to a prime, and is usually not included in factorizations.

**Prime factors of 25 – Example problems:**

**Problem 1: **

** **Find the prime factors of 25

**Solution:**

Prime factors of 25

25 = 5 * 5

= 5^{2 }= Prime factors of 25 = 5^{2 }^{ }

In our next blog we shall learn about integration formulas

I hope the above explanation was useful.Keep reading and leave your comments.

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