Prime Factorization of 1998
What is the Prime Factorization of 1998?
or
Explanation of number 1998 Prime Factorization
Prime Factorization of 1998 it is expressing 1998 as the product of prime factors. In other words it is finding which prime numbers should be multiplied together to make 1998.
Since number 1998 is a Composite number (not Prime) we can do its Prime Factorization.
To get a list of all Prime Factors of 1998, we have to iteratively divide 1998 by the smallest prime number possible until the result equals 1.
Here is the complete solution of finding Prime Factors of 1998:
The smallest Prime Number which can divide 1998 without a remainder is 2. So the first calculation step would look like:
1998 ÷ 2 = 999
Now we repeat this action until the result equals 1:
999 ÷ 3 = 333
333 ÷ 3 = 111
111 ÷ 3 = 37
37 ÷ 37 = 1
Now we have all the Prime Factors for number 1998. It is: 2, 3, 3, 3, 37
Or you may also write it in exponential form: 2 × 33 × 37
Prime Factor Tree of 1998
We may also express the prime factorization of 1998 as a Factor Tree:
Related Calculations
<a href="https://calculat.io/en/number/prime-factors-of/1998">Prime factors of 1998 - Calculatio</a>
Prime Factorization Table
| Number | Prime Factors |
|---|---|
| 1983 | 3, 661 |
| 1984 | 26 × 31 |
| 1985 | 5, 397 |
| 1986 | 2, 3, 331 |
| 1987 | 1987 |
| 1988 | 22 × 7 × 71 |
| 1989 | 32 × 13 × 17 |
| 1990 | 2, 5, 199 |
| 1991 | 11, 181 |
| 1992 | 23 × 3 × 83 |
| 1993 | 1993 |
| 1994 | 2, 997 |
| 1995 | 3, 5, 7, 19 |
| 1996 | 22 × 499 |
| 1997 | 1997 |
| 1998 | 2 × 33 × 37 |
| 1999 | 1999 |
| 2000 | 24 × 53 |
| 2001 | 3, 23, 29 |
| 2002 | 2, 7, 11, 13 |
| 2003 | 2003 |
| 2004 | 22 × 3 × 167 |
| 2005 | 5, 401 |
| 2006 | 2, 17, 59 |
| 2007 | 32 × 223 |
| 2008 | 23 × 251 |
| 2009 | 72 × 41 |
| 2010 | 2, 3, 5, 67 |
| 2011 | 2011 |
| 2012 | 22 × 503 |
About "Prime Factorization" Calculator
Prime factors are the positive integers having only two factors - 1 and the number itself