Factors of 152

The numbers that divide 152 evenly are known as factors of 152. A factor of 152 is a number that divides the number without remainder. The factors of 152 are 1, 2, 4, 8, 19, 38, 76, and 152.

Negative factors of 152: -1, -2, -4, -8, -19, -38, -76, and -152.

Prime factors of 152: 2 and 19.

Prime factorization of 152: 2³ × 19.

The sum of factors of 152: 1 + 2 + 4 + 8 + 19 + 38 + 76 + 152 = 300

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 152. Identifying the numbers which are multiplied to get the number 152 is the multiplication method.

Step 1: Multiply 152 by 1, 152 × 1 = 152.

Step 2: Check for other numbers that give 152 after multiplying 2 × 76 = 152

4 × 38 = 152

8 × 19 = 152

Therefore, the positive factor pairs of 152 are: (1, 152), (2, 76), (4, 38), and (8, 19). All these factor pairs result in 152. 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 a simple division method -

Step 1: Divide 152 by 1, 152 ÷ 1 = 152.

Step 2: Continue dividing 152 by the numbers until the remainder becomes 0.

152 ÷ 1 = 152

152 ÷ 2 = 76

152 ÷ 4 = 38

152 ÷ 8 = 19

Therefore, the factors of 152 are: 1, 2, 4, 8, 19, 38, 76, 152.

The factors can be found by dividing it 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 152 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.

152 ÷ 2 = 76

76 ÷ 2 = 38

38 ÷ 2 = 19

19 ÷ 19 = 1

The prime factors of 152 are 2 and 19. The prime factorization of 152 is: 2³ × 19.

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

Step 1: Firstly, 152 is divided by 2 to get 76.

Step 2: Now divide 76 by 2 to get 38.

Step 3: Then divide 38 by 2 to get 19. Here, 19 is the smallest prime number, that cannot be divided anymore. So, the prime factorization of 152 is: 2³ × 19.

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 152: (1, 152), (2, 76), (4, 38), and (8, 19).
• Negative factor pairs of 152: (-1, -152), (-2, -76), (-4, -38), and (-8, -19).

• Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 152 are 1, 2, 4, 8, 19, 38, 76, and 152.

• Prime factors: The factors which are prime numbers. For example, 2 and 19 are prime factors of 152.

• 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 152 are (1, 152), (2, 76), etc.

• Prime factorization: The expression of a number as the product of its prime factors. For example, the prime factorization of 152 is 2³ × 19.

• Multiple: A number that can be divided by another number without a remainder. For example, 152 is a multiple of 4.