Decomposition means to break down. 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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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.
Prime Factor Decomposition is breaking down a given number into prime factors, its prime factorization.
The prime factor decomposition of 168 is: 23 x 3 x 7
If you mean prime factor, it's 37.
35 can be a factor, but it is not prime.
There is no factorization. 37 is a prime number.37 is already prime. Its only prime factor is itself.
81 is not prime. Its prime factorization is 3x3x3x3.