Prime factors of 1662
The prime factors are: 2, 3, 277
Prime Factor Decomposition or Prime Factorization is the process of finding which prime numbers can be multiplied together to make the original number. 1662 divided by 2, 3, 277 gives no remainder. This means Prime number are numbers that can divide without remainder.
How to Calculate Prime Factorization of 1662?
The main method of prime factorization is start dividing the number by the any divisible prime numbers until the only numbers left are prime numbers \( (2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, ...) \).
\(1662\div \color{red}{2} = 831\)
\(831\div \color{red}{3} = 277\)
\(277\div \color{red}{277} = 1\)
Factorize\( (1662) = \) \(2\times 3\times 277\)
Factor Tree of 1662
| 1662 | | |
| | | |
| | | |
2 | | 831 | |
| | | |
| 3 | | 277 |
If you want to learn more about prime factorization, take a look at the Wikipedia page.