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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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How is prime factorization different from finding factors of a number?
All numbers have factors. Some factors are prime numbers, some are composite numbers, one is neither. When finding the factors of a number, you find all the factors. The prime factorization is a multiplication string of just prime factors that will total the given number.
What is the difference between finding the factors of a number and finding the prime factors of a number?
No difference. Once you've found the factors of a number, the prime numbers on that list are the prime factors.
Are prime factors and prime factorization the same?
No. Prime factors are the numbers that make up other numbers, but they have to be prime. Prime factorisation is the process of finding the prime numbers that create a number. This is when you multiply the prime numbers together and the product is the original number. For example: 20 5x4 5x2x2 This process is called prime factorisation. In this case, the prime numbers are 2, 2, and 5.
How do you tell prime numbers without finding the factors?
There are lists of them online.
What are the prime factorization for composite numbers 1-100?
finding the prime factors of a composite number
What are the steps for finding the prime numbers of 42?
The prime factors of 42 are 2, 3 and 7
How can you find the least common multiple of 3 numbers?
By finding their prime factors
What is a step diagram for prime factors?
it is a way of finding out all of the prime numbers that you have to multiply to equal the desired number.
How can you find the GCF of a given set of numbers given their LCM but without listing the factors of the numbers?
By finding their common prime numbers.
What is the LCM of 42 63 and 105 formula?
It is: 630 by finding the prime factors of the given numbers
Who developed a system for finding prime numbers?
There is no known system for finding prime numbers.
What are the uses of prime and composite numbers?
All composite numbers have prime factors and these are used to find the highest common factor of 2 or more numbers and they are also used in finding the lowest common multiple of 2 or more numbers. Composite numbers have 2 or more factors while prime numbers have only 2 factors which are themselves and one
