Factors of 34

Definition of factors of 34: If a number completely divides 34 with the remainder zero, then that number is called a factor of 34.

By the above definition, we can say that the factors of 34 are the divisors of 34. In this section, we will learn about the factors of 34 and the prime factors of 34.

Also Read: Basic concepts of factors

Highlights of Factors of 34

• 34=2×17 is the prime factorization of 34.
• The factors of 34 are 1, 2, 17, and 34.
• Prime factors of 34 are 2 and 17.
• Negative factors of 34 are –1, -2, -17, and –34.

What are the Factors of 34?

Let us write the number 34 multiplicatively in all possible ways. We have:

34 = 1×34 

34 = 2×17

As we cannot express 34 multiplicatively in any other way, so we will stop right now. So the factors of 34 in pairs are given as follows:

34 = a×b	Factors in Pairs (a,b)
34 = 1×34	(1, 34)
34 = 2×17	(2, 17)

Thus the pair factors of 34 are (1, 34) and (2, 17). As all the numbers appearing in pair factors are the factors of 34, we conclude that

The factors of 34 are: 1, 2, 17, and 34.

Number of Factors of 34

From above we have calculated the factors of 34 which are 1, 2, 17, and 34. Thus the total number of factors of 34 is four.

Prime Factors of 34

Note that the factors of 34 are 1, 2, 17, and 34. Among those factors, we observe that only 2 and 17 are prime numbers as they do not have any proper divisors.

∴ the prime factors of 34 are 2 and 17.

Question: What are the factors of 34?

Video Solution: coming soon…

How to Find Factors of 34?

Now we will determine the factors of 34 by division method. In this method, we will find the numbers that can divide 34 with no remainder. See that

34/1=34 and the remainder is 0.

∴ 1 and 34 are factors of 34.

34/2=17 and the remainder is 0.

∴ 2 and 17 are factors of 34.

Note that no numbers other than the numbers in violet color can divide 34. So the numbers in violet color, that is, 1, 2, 17 and 34 are the complete list of factors of 34.