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How do you find the factor string for a number?
Factor strings are multiplication sentences. You can take any factor pair, put a multiplication symbol between them and you have a factor string. The longest factor string for any composite number is the 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 prime factorization of 210. And the longest factor string.
How do you find a factor string for a number?
A factor string is a multiplication sentence. The smallest are the factor pairs, the largest is the 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 prime factorization of 210. And the longest factor string.
What is a prime factor string?
A prime factor string is expressing a number as the product of its prime factors. 2 x 3 x 5 x 7 = 210
Is 210 a prime with factor?
210 is not prime.
What is the longest string of consecutive composite numbers in eratosthenes?
200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210...yep all 11
Why is 1x1x2x1x3x1x5 the longest string of prime factors?
Because if all the factors are prime, the factorization can't be broken down further. Consider some factor strings for 210: 2 x 105 2 x 3 x 35 2 x 3 x 5 x 7 The last (and longest) is the prime factorization.
What is the greatest common factor of 1200 and 210?
The greatest common factor of 1200 and 210 is 30.
What is the greatest common factor of 66 and 210?
The greatest common factor of 66 and 210 is 6.
What is the greatest common factor of 105and 210?
Since 105 is a factor of 210, it is automatically the GCF.
Is 105 a factor?
It can be. 105 is a factor of 210.
What is the greatest common factor of 210 and 154?
The greatest common factor of 154 , 210 = 14
What is the greatest common factor of 210 and 30?
Since 30 is a factor of 210, it is automatically the GCF of this problem.
