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What is the unique factorization of composite numbers into prime factors?
8spongeee12
Create a factor tree by doing this:
Choose your number. Let's pretend that it's 180.
Think of two things that multiply into that besides 1 and itself.
How about 18 and 10? Great!
On some paper, draw 180 with two lines coming downward out of it.
Write down 18 and 10.
Then think if any thing goes into 10 and 18.
5x2 and 9x2. Good ones.
Draw two lines coming out of 10 and out of 18 and write down: 5 and 2; 9 and 2.
Let's start with 10. 5 and 2 are prime numbers, so circle them.
Now for18. 2 is prime, so circle that, too.
However 9 is not prime, so draw two lines coming out of it and write down 3 and 3.
They are both prime, so circle them both. There is nothing left to factorize, so write down all of your circled numbers.
These are your prime factors. Bingo!
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∙ 13y ago
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Can 2 numbers have the same prime factorization?
Only if they're the same number. Every composite number has a unique prime factorization.
What is the prime factorization of a composite number?
A composite number has three or more factors. 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: 210210 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 = 210That's the prime factorization of 210.
What is a unique prime factorization?
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 unique prime factorization of 210.
What is a number that can be factored as a prime number be called?
All composite numbers can be expressed as unique products of prime numbers. This is known as a prime factorization.
What is the prime of factorization of a number?
The prime factorization of a number is all of the prime numbers that make up a composite number. All composite numbers can be expressed as unique products of prime numbers. The factorization 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.
How many ways can you write a composite number as a product of prime numbers?
I'm not sure what you mean. But the factorization of a composite number into prime factors is unique, up to the ordering of the primes.
What is meant by the product of its factors example 16?
All composite numbers can be expressed as unique products of prime numbers. This is known as a prime factorization. The prime factorization of 16 is 2 x 2 x 2 x 2.
Is it true that the prime factorization of any composite number includes three or more prime numbers?
no, for example the prime factorization of 4 is,{2,2} it only has two factors and one unique factor 2
Can 2 numbers have the same prime factorization?
Only if they're the same number. Every composite number has a unique prime factorization.
What is the prime factorization of a composite number?
A composite number has three or more factors. 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: 210210 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 = 210That's the prime factorization of 210.
What is a unique prime factorization?
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 unique prime factorization of 210.
What is a number that can be factored as a prime number be called?
All composite numbers can be expressed as unique products of prime numbers. This is known as a prime factorization.
What is the prime of factorization of a number?
The prime factorization of a number is all of the prime numbers that make up a composite number. All composite numbers can be expressed as unique products of prime numbers. The factorization 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.
How do you get a prime factor?
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: 210210 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 = 210That's the prime factorization of 210.
How can you find the prime factorization of a composite numbers?
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.
What is unique factor?
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 unique prime factorization of a number?
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.
