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Factors of 29
Factors of 29 are numbers that, when multiplied in pairs give the product as 29. There are 2 factors of 29, which are 1 and 29. Here, 29 is the biggest factor. The Pair Factors of 29 are (1, 29) and its Prime Factors is 1, 29.
 Factors of 29: 1 and 29
 Negative Factors of 29: 1 and 29
 Prime Factors of 29: 29
 Prime Factorization of 29: 29
 Sum of Factors of 29: 30
1.  What Are the Factors of 29? 
2.  How to Calculate the Factors of 29? 
3.  Factors of 29 by Prime Factorization 
4.  Factors of 29 in Pairs 
5.  Important Notes 
6.  FAQs on Factors of 29 
What Are the Factors of 29?
29 is the 10th prime number. Prime numbers have 2 distinct factors. 29 is prime. Hence, the factors of 29 can only be 1 and 29.
Explore factors using illustrations and interactive examples
 Factors of 30: The factors of 30 are 1 2, 3, 5, 6,,10, 15, and 30.
 Factors of 28: The factors of 28 are 1, 2, 4, 7, 14, and 28.
 Factors of 23: The factors of 23 are 1 and 23.
 Factors of 50: The factors of 50 are 1, 2, 5, 10, 25, and 50.
 Factors of 25: The factors of 25 are 1, 5, and 25.
How to Calculate the Factors of 29?
 We can calculate the factors of a number in two ways, either by division method or by prime factorization.
 Find the numbers that divide 29 evenly.
 We know that 1 divides 29 evenly 29 times and 29 divides 29 evenly 1 time.
 Thus, 29 is prime as it is divided by 1 and itself only.
Factors of 29 by Prime Factorization
Prime factorization means expressing a number as the product of its prime factors.
The prime factor of 29 is only 29. The prime factorization of 29 is \(29^1\) = 29
Factors of 29 in Pairs
 The factors of 29 are 29 and 1 as they are the only divisors that divide 29 without any remainder.
 The factors of 29 in pairs can be positive and negative.
 Thus, the factors of 29 in pairs include (1, 29) and (1, 29).
Important Notes
 Prime numbers have only 2 factors, i.e., 1 and itself. For example, 13, 23, 29, and 31.
 The common factor of a prime number and a composite number is 1. The common factor of 29 and 30 is 1.
 The common factor of two prime numbers is 1. The common factor of 23 and 29 is 1.
Factors of 29 Solved Examples

Example 1: There are 29 flashcards in one pack.
The teacher wants to give one card to each of the 29 students in her class.
How many packs will she have to buy?
Solution:
The teacher has to divide 29 cards amongst 29 students.
29 × ____ = 29. The missing factor is 1.
Therefore, she will have to buy 1 pack.

Example 2: Alex forms rectangular patches in his garden to grow some plants. He decides to use 29 square yards of area for each patch. What could be the possible length and width of the grass patches?
Solution:
We know that the area of the rectangle = length × width sq. units
We know that ____ × ____ = 29. The missing factors could be 29 and 1 only.
Therefore, the length can only be 29 yards and the width can only be 1 yard.

Example 3: Find the product of all the prime factors of 29.
Solution:
Since the prime factors of 29 are 29. Therefore, the product of prime factors = 29 = 29.
FAQs on Factors of 29
What are the Factors of 29?
The factors of 29 are 1, 29 and its negative factors are 1, 29.
How Many Factors of 29 are also common to the Factors of 17?
Since the factors of 29 are 1, 29, and factors of 17 are 1, 17. Hence, 29 and 17 have only one common factor which is 1. Therefore, 29 and 17 are coprime.
What is the sum of all the Factors of 29?
Factors of 29 are 1, 29 and, the sum of all these factors is 1 + 29 = 30
What Numbers Are the Prime Factors of 29?
The prime factor of 29 is 29.
What is the Greatest Common Factor of 29 and 19?
The factors of 29 are 1, 29 and the factors of 19 are 1, 19. 29 and 19 have only one common factor which is 1. This implies that 29 and 19 are coprime.
Hence, the Greatest Common Factor (GCF) of 29 and 19 is 1.
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