Factors of 159

The numbers that divide 159 evenly are known as factors of 159. A factor of 159 is a number that divides the number without remainder. The factors of 159 are 1, 3, 53, and 159.

Negative factors of 159: -1, -3, -53, and -159.

Prime factors of 159: 3 and 53.

Prime factorization of 159: 3 × 53.

The sum of factors of 159: 1 + 3 + 53 + 159 = 216

Factors can be found using different methods. Mentioned below are some commonly used methods:

1. Finding factors using multiplication
2. Finding factors using division method
3. Prime factors and Prime factorization

To find factors using multiplication, we need to identify the pairs of numbers that are multiplied to give 159. Identifying the numbers which are multiplied to get the number 159 is the multiplication method.

Step 1: Multiply 159 by 1, 159 × 1 = 159.

Step 2: Check for other numbers that give 159 after multiplying 3 × 53 = 159

Therefore, the positive factor pairs of 159 are: (1, 159) and (3, 53). All these factor pairs result in 159. For every positive factor, there is a negative factor.

Dividing the given numbers with the whole numbers until the remainder becomes zero and listing out the numbers which result as whole numbers as factors. Factors can be calculated by following the simple division method -

Step 1: Divide 159 by 1, 159 ÷ 1 = 159.

Step 2: Continue dividing 159 by the numbers until the remainder becomes 0.

159 ÷ 1 = 159

159 ÷ 3 = 53

Therefore, the factors of 159 are: 1, 3, 53, and 159.

The factors can be found by dividing with prime numbers. We can find the prime factors using the following methods:

• Using prime factorization
• Using factor tree

Using Prime Factorization: In this process, prime factors of 159 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.

159 ÷ 3 = 53

53 ÷ 53 = 1

The prime factors of 159 are 3 and 53. The prime factorization of 159 is: 3 × 53.

The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows -

Step 1: Firstly, 159 is divided by 3 to get 53.

Step 2: 53 is a prime number and cannot be divided further. So, the prime factorization of 159 is: 3 × 53.

Factor Pairs: Two numbers that are multiplied to give a specific number are called factor pairs. Both positive and negative factors constitute factor pairs.

• Positive factor pairs of 159: (1, 159) and (3, 53).
• Negative factor pairs of 159: (-1, -159) and (-3, -53).

• Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 159 are 1, 3, 53, and 159.

• Prime factors: The factors which are prime numbers. For example, 3 and 53 are prime factors of 159.

• Factor pairs: Two numbers in a pair that are multiplied to give the original number are called factor pairs. For example, the factor pairs of 159 are (1, 159) and (3, 53).

• Negative factors: Factors that are negative. For example, -1, -3, -53, and -159 are negative factors of 159.

• Prime factorization: The expression of a number as the product of its prime factors. For example, the prime factorization of 159 is 3 × 53.