The exact factors of the number 60 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, and 60. According to byjus.com, there are a total of 12 factors for the number 60.
Understanding Factors: What Are They?
A factor of a number is an integer that divides the number evenly, leaving no remainder. In simpler terms, if you can multiply two whole numbers to get another number, then those two whole numbers are factors of the product. For example, since 2 multiplied by 3 equals 6, both 2 and 3 are factors of 6.
The Complete List of Factors for 60
The number 60 is divisible by several integers without leaving a remainder. These numbers are its factors.
Factors of 60 Table
To clearly illustrate all the factors, we can list them as pairs that multiply to 60:
| Pair Number | Factor 1 | Factor 2 | Product |
|---|---|---|---|
| 1 | 1 | 60 | 60 |
| 2 | 2 | 30 | 60 |
| 3 | 3 | 20 | 60 |
| 4 | 4 | 15 | 60 |
| 5 | 5 | 12 | 60 |
| 6 | 6 | 10 | 60 |
How Many Factors Does 60 Have?
As visible from the table and confirmed by the reference, there are 12 unique factors for the number 60. These are:
- 1
- 2
- 3
- 4
- 5
- 6
- 10
- 12
- 15
- 20
- 30
- 60
How Factors of a Number Are Determined
Factors can be found using various methods, most commonly through division or prime factorization. For instance, the prime factorization method involves breaking down a number into its prime components (e.g., 60 = 2² × 3¹ × 5¹). Once you have the prime factors, you can find all combinations of these primes to derive all the factors. This method is comprehensive and ensures no factor is missed. For more detailed methods on how to find factors, you can refer to educational resources like byjus.com.
Why is 60 an Interesting Number?
The number 60 holds significance in various fields beyond mathematics. It is known as a highly composite number because it has more divisors than any smaller positive integer. This property makes 60 particularly useful in systems of measurement, such as:
- Time: 60 seconds in a minute, 60 minutes in an hour.
- Angles: 360 degrees in a circle (which is 6 x 60).
These applications highlight why a number with so many factors is practical for division and distribution.
In conclusion, the number 60 is highly versatile in its divisibility, possessing a total of 12 factors that include 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, and 60.
