ladder method
655 5,131
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 factors
Well, I have a manual method that will tell you how to find the largest prime factor. For example, we have two numbers 1996 and 99999 and we want to find their prime factors. First of all we have to construct a tree of these numbers as below: 1996 998,2 449,2,2 1996 = 2*2*499 99999 33333,3 11111,3,3 271,41,3,3 99999 = 3*3*41*271 If you note in the above examples the largest prime factors are 499 and 271. Similarly, for any number you can find the prime factor by using the above method.
It is: 2*3*7 = 42
3 is a prime number. Prime numbers don't have factor trees. The factors of 3 are 1 and 3.
greatest common factor by using intersection of sets method,prime factorization method and continous division method of 72,96 and 200
2 84 3 12 3 4 2 2
31 is already prime; no method required.
You need at least two numbers to find a GCF no matter what method you use.
15/3 = 5/5 = 1 3 x 5 = 15
ladder method
655 5,131
The prime factors of 20 using exponents is: 22x 5
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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