Definition of factors of 55: If a number completely divides 55 without leaving a remainder, then that number is called a factor of 55. Thus, we can say that the factors of 55 are the divisors of 55.
Here, we will learn about the factors of 55 and the prime factors of 55. We have:
- 55 = 5×11 is the prime factorization of 55.
- The factors of 55 are 1, 5, 11, and 55.
- The prime factors of 55 are 5 and 11.
- Negative factors of 55 are –1, -5, -11, and –55.
Table of Contents
What are the factors of 55?
Let us write the number 55 multiplicatively in all possible ways. We definitely have:
| 55 = 1×55 |
| 55 = 5×11 |
As there are no other ways we can write 55 multiplicatively, so we will stop right now. So the factors of 55 in pairs are given as follows:
| 55 = a×b | Factors in Pairs (a,b) |
| 55 = 1×55 | (1, 55) |
| 55 = 5×11 | (5, 11) |
Thus the pair factors of 55 are (1, 55) and (5, 11). As all the numbers appearing in pair factors are the factors of 55, we conclude that
| The factors of 55 are 1, 5, 11, and 55. |
Number of factors of 55
From above we have calculated the factors of 55 which are 1, 5, 11, and 55.
Thus the total number of factors of 55 is four.
Prime Factors of 55
Note that the factors of 55 are 1, 5, 11, and 55. Among those factors, we observe that only 5 and 11 are prime numbers as they do not have any proper divisors.
∴ the prime factors of 55 are 5 and 11.
Question: What are the factors of 55?
Video Solution:
How to find factors of 55?
Now we will determine the factors of 55 by division method. In this method, we will try to find the numbers that can divide 55 with no remainder. See that
55/1=55 and the remainder is 0.
∴ 1 and 55 are factors of 55.
55/5=11 and the remainder is 0.
∴ 5 and 11 are factors of 55.
Note that no numbers other than the numbers in violet color can divide 55. So the numbers in violet color, that is, 1, 5, 11, and 55 are the complete list of factors of 55.
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FAQs on Factors of 55
Answer: 1, 5, 11, and 55 are the factors of 55.
Answer: Yes, 11 is a factor of 55 as it divides 55 completely.