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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.
Is there another number that has the prime factorization of 2626?
No. Each composite number has its own unique prime factorization.
Does any other number have the prime factorization 13 and 30?
Every composite number has its own unique prime factorization.
Is there another number with a prime factorization of 64 times 15625?
Every composite number has its own unique prime factorization.
How prime factorizations does a number have?
Each 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.
Why do you say the prime factorization of 100 instead of a prime factorization of 100?
Because 100 only has one prime factorization.Because each composite whole number has a unique prime factorization.
Does each natural number greater than one have its own unique prime factorization?
In number theory, the fundamental theorem of arithmetic, also called the unique factorization theorem or the unique-prime-factorization theorem, states that every integergreater than 1 either is prime itself or is the product of prime numbers, and that this product is unique, up to the order of the factors.
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.
What is the prime factorization theorem?
In number theory, the fundamental theorem of arithmetic, also called the unique factorization theorem or the unique-prime-factorization theorem, states that every integergreater than 1 either is prime itself or is the product of prime numbers, and that this product is unique, up to the order of the factors.
What is the largest prime factor of a composite number?
Each composite number has its own unique prime factorization. The largest number in that factorization would be the largest prime factor. It will never be more than half of the original number.
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.
