Prime Factorization of 2002
"Prime Factorization" Calculator
What is the Prime Factorization of 2002?
Explanation of number 2002 Prime Factorization
Prime Factorization of 2002 it is expressing 2002 as the product of prime factors. In other words it is finding which prime numbers should be multiplied together to make 2002.
Since number 2002 is a Composite number (not Prime) we can do its Prime Factorization.
To get a list of all Prime Factors of 2002, we have to iteratively divide 2002 by the smallest prime number possible until the result equals 1.
Here is the complete solution of finding Prime Factors of 2002:
The smallest Prime Number which can divide 2002 without a remainder is 2. So the first calculation step would look like:
2002 ÷ 2 = 1001
Now we repeat this action until the result equals 1:
1001 ÷ 7 = 143
143 ÷ 11 = 13
13 ÷ 13 = 1
Now we have all the Prime Factors for number 2002. It is: 2, 7, 11, 13
Prime Factor Tree of 2002
We may also express the prime factorization of 2002 as a Factor Tree:
Related Calculations
See Also
- Factors of a Number - List all Factors and Factor Pairs of a Number
- Is number a Prime - Find out whether a given number is Prime or not
- Prime Numbers List - List of all Prime Numbers - how many Prime numbers are between
About "Prime Factorization" Calculator
Prime factors are the positive integers having only two factors - 1 and the number itself
"Prime Factorization" Calculator
Prime Factorization Table
Number | Prime Factors |
---|---|
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 |
2013 | 3, 11, 61 |
2014 | 2, 19, 53 |
2015 | 5, 13, 31 |
2016 | 25 × 32 × 7 |
FAQ
What is the Prime Factorization of 2002?
How many prime factors does 2002 have?
See Also
- Prime factors of 1875
- Prime factors of 1890
- Prime factors of 1900
- Prime factors of 1925
- Prime factors of 1945
- Prime factors of 1950
- Prime factors of 1960
- Prime factors of 1980
- Prime factors of 1998
- Prime factors of 2000
- Prime factors of 2005
- Prime factors of 2010
- Prime factors of 2015
- Prime factors of 2020
- Prime factors of 2022
- Prime factors of 2025
- Prime factors of 2030
- Prime factors of 2040
- Prime factors of 2045
- Prime factors of 2048
- Простые множители числа 2002