Factors Of 172

Prime numbers can have just two factors, which are 1 and the number itself. Composite numbers have more than two factors. Now, let us learn more about the factors of 172.

Negative factors of 172: -1, -2, -4, -43, -86, and -172.
Prime factors of 172:  2 and 43.
Prime factorization of 172: 22 × 431
The sum of factors of 172: 1 + 2 + 4 + 43 + 86 + 172 = 308
 

For finding factors, school kids use different methods for easy calculation. A few commonly used methods are as follows:

1. Use of Multiplication Method
2. Use of Division Method
3. Use of Prime Factors and Prime Factorization.

So, here we discuss a detailed explanation of the following methods:
 

So in the multiplication method, we will try to find out what numbers will multiply together, and give us the value 172. We will check the factors step by step:

Step 1: Start to multiply with numbers, which gives the value of 172.

Start with 1, and continue to multiply with other numbers. 

              1  × 172  = 172
             2  × 86  = 172
             4 ×  43  = 172

Step 2: After the calculation, we get these numbers, the factors of 172.

Step 3: The positive factor pairs of 172 found through multiplication are (1, 172), (2, 86), (4, 43)

Step 4: The negative factor pairs of 172 are (-1, -2), (-4, -43), (-86, -172).
 

Using this method we will break down the given number till our remainder is zero. Let us go through the step-by-step process to find the factors of 172:

Step 1: Divide 172 by smaller numbers and see if there is any remainder. E.g., 172/1 = 172. 

Step 2: We will continue in the same way and check for other numbers as well. For 172, the factors are 1, 2, 4, 43, 86, and 172.  Because 172 can be divided evenly by these numbers.

172 ÷ 2 =86
172 ÷ 4 =43
172  ÷ 43=4
172 ÷ 172=1

The prime factors of 172 are 2 and 43. The prime factors can be found using the methods given below:

• Prime Factorization
• Factor Tree

By Using Prime Factorization: When using this method, the number is divided by its prime numbers until it is factored completely.

2 is the smallest prime number, so start dividing with two. And then continue to divide with other prime numbers.

172 ÷ 2 = 86
86 ÷ 2 = 43

 The prime factorization of 172 is :

 172 = 2² × 43

Finally, using the prime factorization method, the prime factors of 172 are 2 and 43.

A factor tree is a visual representation of breaking a number into its prime factors. It is an easy and simple way to present the factors.

Step 1: 172 divided by 2 gives us the answer 86

Step 2: Since 86 is not a prime number, it can be divided further.

 The prime factorization of 172 is written below :

172 = 2² × 43
 

Every number has either a positive or negative factor. Let us look at those sets of factors.

Positive pair Factors:(1, 172), (2, 86), (4, 43)
Negative pair Factors: (-1, -2), (-4, -43), (-86, -172).
 

• Factors: The factors of numbers are complete numbers, that can be divided into another number evenly without remainder. Like 6 is divisible by 1, 2, 3, and 6, therefore, 1, 2, 3, and 6 are the factors of 6.

• Prime Factors: Prime numbers that multiply together to give a certain product. For 172 the prime factors are 2 and 43.

• Multiples: We get multiples when we multiply a number by another number. Let’s take some multiples of 2 (2, 4, 6, and so on).