Definition of factors of 29: If a number completely divides 29 with the remainder zero, then that number is called a factor of 29.
By the above definition, we can say that the factors of 29 are the divisors of 29. In this section, we will learn about the factors of 29 and the prime factors of 29.
Also Read: Basic concepts of the factors of a number
Highlights of Factors of 29
- 29=1×29 is the prime factorization of 29.
- The factors of 29 are 1 and 29.
- The only prime factor of 29 is 29.
- Negative factors of 29 are –1 and –29.
What are the Factors of 29?
To get the factors of 29 we need to first write the number 29 multiplicatively in all possible ways. We have:
29 = 1×29
This is the only way we can express 29 multiplicatively. Therefore the factors of 29 in pairs are given as follows:
|29 = a×b||Factors in Pairs (a,b)|
|29 = 1×29||(1, 29)|
Thus the only pair factor of 29 is (1, 29). We know that all the numbers appearing in pair factors are the factors of 29. So we conclude that
The factors of 29 are:
1 and 29.
Number of Factors of 29
From above we have calculated the factors of 29 which are 1 and 29. Thus the total number of factors of 29 is two.
Prime Factors of 29
Note that the factors of 29 are 1 and 29. Among those factors, we observe that only 29 is a prime number as it does not have any proper divisors.
∴ the only prime factor of 29 is the number 29 itself.
Question: What are the factors of 29?
Video Solution: coming soon…
Is 29 a Prime Number?
As the factors of 29 are 1 and the number itself, by the definition of prime numbers, we can say that 29 is a prime number.
Conclusion: 29 is a prime number.
How to Find Factors of 29?
Now we will determine the factors of 29 by division method. In this method, we will find the numbers that can divide 29 with no remainder. See that
29/1=29 and the remainder is 0.
∴ 1 and 29 are factors of 29.
Note that no numbers other than the numbers in violet color can divide 29. So the numbers in violet color, that is, 1 and 29 are the complete list of factors of 29.