The number 6188 has a total of 24 factors, derived from its prime factorization. Its prime factors are 2, 7, 13, and 17.
Understanding Factors
A factor of a number is an integer that divides the number evenly, leaving no remainder. For example, the factors of 12 are 1, 2, 3, 4, 6, and 12. Factors can be prime (only divisible by 1 and themselves) or composite (having more than two factors).
Prime Factorization of 6188
The process of breaking down a number into its prime factors is called prime factorization. For 6188, this process reveals its fundamental building blocks:
6188 = 2 × 2 × 7 × 13 × 17
This can also be expressed in exponential form as 2² × 7¹ × 13¹ × 17¹.
All Factors of 6188
By combining the prime factors in various ways, including 1 and the number itself, we can determine all the factors of 6188. There are 24 unique factors for 6188:
| Factor | Factor | Factor | Factor |
|---|---|---|---|
| 1 | 2 | 4 | 7 |
| 13 | 14 | 17 | 26 |
| 28 | 34 | 52 | 68 |
| 91 | 119 | 182 | 221 |
| 238 | 364 | 442 | 476 |
| 884 | 1547 | 3094 | 6188 |
Properties of the Number 6188
Beyond its factors, 6188 has several other interesting properties:
- Is prime? No, 6188 is a composite number because it has factors other than 1 and itself.
- Next integer: 6189
- Previous prime number: 6173
- Next prime number: 6197
Knowing the factors of a number like 6188 can be useful in various mathematical contexts, such as simplifying fractions, finding common denominators, or understanding number theory concepts.
