# Factors of 177

Factors of 177 are 1, 3, 59, and 177

#### How to find factors of a number

 1.   Find factors of 177 using Division Method 2.   Find factors of 177 using Prime Factorization 3.   Find factors of 177 in Pairs 4.   How can factors be defined? 5.   Frequently asked questions 6.   Examples of factors

### Example: Find factors of 177

• Divide 177 by 1: 177 ÷ 1 : Remainder = 0
• Divide 177 by 3: 177 ÷ 3 : Remainder = 0
• Divide 177 by 59: 177 ÷ 59 : Remainder = 0
• Divide 177 by 177: 177 ÷ 177 : Remainder = 0

Hence, Factors of 177 are 1, 3, 59, and 177

#### 2. Steps to find factors of 177 using Prime Factorization

A prime number is a number that has exactly two factors, 1 and the number itself. Prime factorization of a number means breaking down of the number into the form of products of its prime factors.

There are two different methods that can be used for the prime factorization.

#### Method 1: Division Method

To find the primefactors of 177 using the division method, follow these steps:

• Step 1. Start dividing 177 by the smallest prime number, i.e., 2, 3, 5, and so on. Find the smallest prime factor of the number.
• Step 2. After finding the smallest prime factor of the number 177, which is 3. Divide 177 by 3 to obtain the quotient (59).
177 ÷ 3 = 59
• Step 3. Repeat step 1 with the obtained quotient (59).
59 ÷ 59 = 1

So, the prime factorization of 177 is, 177 = 3 x 59.

#### Method 2: Factor Tree Method

We can follow the same procedure using the factor tree of 177 as shown below:

So, the prime factorization of 177 is, 177 = 3 x 59.

#### 3. Find factors of 177 in Pairs

Pair factors of a number are any two numbers which, which on multiplying together, give that number as a result. The pair factors of 177 would be the two numbers which, when multiplied, give 177 as the result.

The following table represents the calculation of factors of 177 in pairs:

Factor Pair Pair Factorization
1 and 177 1 x 177 = 177
3 and 59 3 x 59 = 177

Since the product of two negative numbers gives a positive number, the product of the negative values of both the numbers in a pair factor will also give 177. They are called negative pair factors.

Hence, the negative pairs of 177 would be ( -1 , -177 ) , ( -3 , -59 ) .

#### How do you explain factors?

In mathematics, a factor is a number or also it can be an algebraic expression that divides another number or any expression completely and that too without leaving any remainder. A factor of a number can be positive or negative.

#### Properties of factors

• Every factor of a number is an exact divisor of that number, example 1, 3, 59, 177 are exact divisors of 177.
• Every number other than 1 has at least two factors, namely the number itself and 1.
• Each number is a factor of itself. Eg. 177 is a factor of itself.
• 1 is a factor of every number. Eg. 1 is a factor of 177.

• How do you find factors of a negative number? ( eg. -177 )?

Factors of -177 are -1, -3, -59, -177.

• What is the sum of all factors of 177?

The sum of all factors of 177 is 240.

• What is prime factorization of 177?

Prime factorization of 177 is 3 x 59.

• What are the pair factors of 177?

Pair factors of 177 are (1,177), (3,59).

• What are six multiples of 177?

First five multiples of 177 are 354, 531, 708, 885, 1062, 1239.

• Is 177 a whole number?

Yes 177 is a whole number.

• Which is the smallest prime factor of 177?

Smallest prime factor of 177 is 3.

• What are five multiples of 177?

First five multiples of 177 are 354, 531, 708, 885, 1062.

• Write all factors of 177?

Factors of 177 are 1, 3, 59, 177.

#### Examples of Factors

Joey wants to write all the prime factors of 177 in exponential form, but he doesn't know how to do so can you assist him in this task?

Prime factors of 177 are 3, 59.
So in exponential form it can be written as 3 x 59.

How many factors are there for 177?

Factors of 177 are 1, 3, 59, 177.
So there are in total 4 factors.

Kevin has been asked to write 3 factor(s) of 177. Can you predict the answer?

3 factor(s) of 177 are 1, 3, 59.

Sammy is puzzled while calculating the prime factors of 177. Can you help him find them?

Factors of 177 are 1, 3, 59, 177.
Prime factors of 177 are 3, 59

What is prime factorization of 177?

Prime factorization of 177 is 3 x 59 = 3 x 59.

Ariel has been assigned the task to find the product of all the prime factors of 177. Can you help her?

Prime factors of 177 are 3, 59.
Hence, the product of prime factors of 177.

Can you help Rubel to find out the product of the even factors of 177?

Factors of 177 are 1, 3, 59, 177.
Even factors of 177 are 0.
Hence, product of even factors of 177 is; 0 = 0.