Factors of 143
143 is the sum of seven consecutive primes 11 + 13 + 17 + 19 + 23 + 29 + 31. Factors of 143 are the numbers that completely divide 143 leaving no remainder. In this lesson, we will calculate the factors of 143, prime factors of 143, and factors of 143 in pairs along with solved examples for a better understanding.
 Factors of 143: 1, 11, 13, 143
 Prime Factorization of 143: 11 × 13
1.  What Are the Factors of 143? 
2.  How to Calculate Factors of 143? 
3.  Factors of 143 by Prime Factorization 
4.  Factors of 143 in Pairs 
5.  Important Notes 
6.  FAQs on Factors of 143 
7.  Tips And Tricks 
What are the Factors of 143?
The numbers that multiply together in pairs to give the product 143 are the factors of 143. Integer1 × Integer2 = product. Integer1 and Integer2 form the factors of the product. Here, we are looking for the integers, which give the product 143.
 1 × 143 = 143
 11 × 13 = 143
Thus 1, 11, 13 and 143 are the factors of 143.
How to Calculate the Factors of 143?
 The integers that completely divide 143 leaving no remainder are the factors of 143. Use the divisibility rules and perform the divisibility tests on 143.
 1 is a factor of 143 and 143 is a factor of itself. 143 ÷ 1 = 143 and 143 ÷ 143=1
 Let's begin the test from 2. 143 is an odd number. So it is not divisible by any other even number.
 Try the divisibility with 3, 5 , 7 and 9. They are not divisbile.
 Try the divisibility with 11. 143 ÷ 11 = 13 and 143 ÷ 13 = 11
 We cannot find any other number that divides 143 completely. Thus the factors evaluated this way are 1, 11, 13 and 143.
To understand the concept of finding factors by prime factorization better, let us take a few more examples.
 Factors of 104: The factors of 104 are 1, 2, 4, 8, 13, 26, 52 and 104.
 Factors of 150: The factors of 150 are 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75 and 150.
 Factors of 91: The factors of 91 are 1, 7 13, and 91
 Factors of 126: The factors of 126 are 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63 and 126.
 Factors of 98: The factors of 98 are 1, 2, 7, 14 and 49.
Factors of 143 by Prime Factorization
Prime Factorization is to express the number as the product of its prime factors. 143 is expressed as 11 × 13. We obtain the prime factors using the factor tree of 143.
The prime factors of 143 are 11 and 13. Multiply them and get the only composite factor 143.
Factors of 143 in Pairs
The integers that get multiplied to form 143 are the factors of 143 in pairs. We denote them in ordered pairs. (1, 143), (1, 143), (11, 13), (11, 13) are the pairs of numbers that make 143.
Important Notes:
 The factors of 143 are 1,11 ,13 and 143.
 The prime factors of 143 are 11 and 13.
 The prime factorization of 143 is 11 × 13.
Tips And Tricks:
 11 × 13 = 143 is obtained on prime factorization. Add 1 to the exponents and multiply them to determine the total number of factors of 143.
 11^{1} × 13^{1 }. 1 is the exponent of each of these prime factors. (1+1) × (1+1) = 4. This confirms the number of factors that 143 has. They are 1, 11, 13 and 143.
Factors of 143 Solved Examples

Example 1: Mia and Charles ended up making 143 biscuits each for a bake sale at school. Mia made them in batches of 11 biscuits and Charles made them in batches of 13 biscuits. Find the number of batches of biscuits each must have baked?
Solution:
Total number of biscuits Mia made = number of biscuits in each batch × number of batches
143 = 11 × _____
Finding the missing factor, we get 143 = 11 × 13
Total number of biscuits Charles made = number of biscuits in each batch × number of batches
143 = 13 × _____
Finding the missing factor, we get 143 = 13 × 11
Thus Mia made 13 batches of 11 biscuits each and Charles made 11 batches of 13 biscuits each. 
Example 2: What is the greatest common factor of 143 and 121.
Solution:
The factors of 143 are 1,11 ,13 and 143.
The factors of 121 are 1, 11 and 121.
The common factors are 1 and 11.
The greatest common factor of 143 and 121 is 11.
FAQs on Factors of 143
What are the factors of 143?
The factors of 143 are 1,11 ,13 and 143.
What is the product of the prime factors of 143?
The prime factors of 143 are 11 and 13. 11 × 13 = 143.
What are the factors of 143 sum up to?
The factors of 143 are 1,11 ,13 and 143. Their sum = 1 + 11+ 13 + 143 = 168.
Which is the greatest prime factor of 143?
The greatest prime factor of 143 is 13.
What are the factors of 143 and 142?
The factors of 143 are 1,11 ,13 and 143.
The factors of 142 are 1, 2, 71 and 142.
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