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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.
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Is there another number with a prime factorization of 64 times 15625?
Every composite number has its own unique prime factorization.
Can 2 numbers have the same prime factorization?
Only if they're the same number. Every composite number has a unique prime factorization.
How many prime factorization does 120 have?
Every positive composite number only has one unique prime factorization.
Is there more then one prime factorization of 576?
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.
Why isn't it possible for a composite number to have more than one prime factorization?
Prime factorizations are unique. If you change the prime factorization, you change the number.
