All composite numbers can be expressed as unique products of prime numbers. This is accomplished by dividing the original number and its factors by prime numbers until all the factors are prime. A factor tree can help you visualize this.
Example: 210
210 Divide by two.
105,2 Divide by three.
35,3,2 Divide by five.
7,5,3,2 Stop. All the factors are prime.
2 x 3 x 5 x 7 = 210
That's the prime factorization of 210.
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17 because it's a prime number
No. Every composite number has one unique prime factorization. You can write it with or without exponents, but it's still the same prime factorization.
It is called the prime factorisation (or prime decomposition) of the composite number.
The prime factorization of 728 is: 2 x 2 x 2 x 7 x 13
The mean write the number as an expression of its prime factors. The prime factors of 210 are 2, 3, 5 and 7. 2 x 3 x 5 x 7 is the prime factorization of 210.