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

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.

• 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. 

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.

• 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.

• 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. 
• 11¹ × 13¹ . 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.

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.