**Definition of X Factor**

We can define the factor as divisor of number in math. The number which is divides the original number without any remainder is called as factor. Normally more than one factor is available in all numbers. The factor of number x is listed based on divisors. The factor of number 4 is 1, 2 and 4. Now we are going to see about definition of x factor.

**Definition of factor:**

The factor of x is divisors of number x and it is a positive integer. In other words, the factor is a multiples of number x. The number x has more than two multiples that multiples are called as factor. We can classify the factors into two types. They are prime factor and composite factor.

**Definition of prime factor:**

A number which has prime number as a factor is called as prime factor of number x. Consider the number 9 and the prime factors of 9 are 3 x 3. The factor is 3 is a prime number. So it is called as prime factor.

**Definition of composite factor:**

A number which has more than two divisors is called as composite factor of number x that is the number x has more than two divisors. Consider the number 15 and the factors of 15 are 1, 3, 5, 15. The composite factors are prime numbers.

**Example problems for definition of x factor:**

**Problem 1:** Determine the prime factor and composite factor of number 120.

**Solution:**

Given number are 120.

Composite factors of 120 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120.

Prime factors of 120 are 2 x 2 x 2 x 3 x 5.

**Problem 2:** Determine the prime factor and composite factor of number 74.

**Solution:**

Given number are 74.

Composite factors of 74 are 1, 2, 37, 74 .

Prime factors of 74 are 2 x 37.

**Exercise problems for definition of x factor:**

1. Determine the prime factors of number 42.

**Solution:** The number 42 has prime factors as 2 x 3 x 7.

2. Determine the composite factors of number 90.

**Solution:** The number 90 has composite factors as 1, 2, 3, 5, 6, 9, 10, 15 18, 30, 45, 90.