Factors of 177

The numbers that divide 177 evenly are known as factors of 177. A factor of 177 is a number that divides the number without remainder. The factors of 177 are 1, 3, 59, and 177.

Negative factors of 177: -1, -3, -59, and -177.

Prime factors of 177: 3 and 59.

Prime factorization of 177: 3 × 59.

The sum of factors of 177: 1 + 3 + 59 + 177 = 240

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 177. Identifying the numbers which are multiplied to get the number 177 is the multiplication method.

Step 1: Multiply 177 by 1, 177 × 1 = 177.

Step 2: Check for other numbers that give 177 after multiplying: 3 × 59 = 177

Therefore, the positive factor pairs of 177 are: (1, 177) and (3, 59). All these factor pairs result in 177. 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 177 by 1, 177 ÷ 1 = 177.

Step 2: Continue dividing 177 by the numbers until the remainder becomes 0.

177 ÷ 1 = 177

177 ÷ 3 = 59

Therefore, the factors of 177 are: 1, 3, 59, and 177.

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 177 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.

177 ÷ 3 = 59

59 ÷ 59 = 1

The prime factors of 177 are 3 and 59. The prime factorization of 177 is: 3 × 59.

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

Step 1: Firstly, 177 is divided by 3 to get 59.

Step 2: Here, 59 is a prime number and cannot be divided anymore. So, the prime factorization of 177 is: 3 × 59.

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 177: (1, 177) and (3, 59).
• Negative factor pairs of 177: (-1, -177) and (-3, -59).

• Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 177 are 1, 3, 59, and 177.

• Prime factors: The factors which are prime numbers. For example, 3 and 59 are prime factors of 177.

• 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 177 are (1, 177) and (3, 59).

• Prime factorization: Breaking down a number into its prime factor components. For example, the prime factorization of 177 is 3 × 59.

• Negative factors: Factors that are negative numbers. For example, the negative factors of 177 are -1, -3, -59, and -177.