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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.
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What is a factor string?
A factor string is a name for a number written as a product of two or more factors. In a factor string, 1 may not be used as a factor. For example, a factor string for 24 is 2 X 3 X 4, or 2 3 4.:0
What is the definition for Factor Strings?
A factor string is a name for a number sentence written as a product of two or more factors.2 x 3 is a factor string for 6.
What is a prime factor string?
A prime factor string is a way to express a number by listing its prime factors along with their respective exponents. For example, for the number 60, the prime factorization is (2^2 \times 3^1 \times 5^1). The "prime factor string" in this case is a formatted representation that captures this factorization. It shows each prime factor and the number of times it divides the original number.
What is the difference between a factor string and prime factorization?
A factor string consists of any factors (except 1) that multiply to equal the number. Prime factorization consists of only prime numbers that multiply to equal the number. In the case where the factors of the original number consists only of primes, there is no difference.
What is the longest factor string of 30?
The longest factor string of 30 is 2 x 3 x 5.
What is the longest factor string for 312?
The longest factor string is 2x2x2x3x13. It is always best to list your factor string from the least to greatest number.
What is the longest factor string you found?
The longest factor string of any composite number is its prime factorization.
What is the mathematical definition for a length of a factor string?
The number of numbers in the string; how long it is.
What is a factor string?
A factor string is a name for a number written as a product of two or more factors. In a factor string, 1 may not be used as a factor. For example, a factor string for 24 is 2 X 3 X 4, or 2 3 4.:0
What is the definition for Factor Strings?
A factor string is a name for a number sentence written as a product of two or more factors.2 x 3 is a factor string for 6.
What is the longest factor string of a number called?
The prime factorization
What is the longest factor string for the number 840?
the longest factor string for 840 is: 2x2x2x3x5x7. I hoped that helped m! Have a good rest of your day!
What is a prime factor string?
A prime factor string is a way to express a number by listing its prime factors along with their respective exponents. For example, for the number 60, the prime factorization is (2^2 \times 3^1 \times 5^1). The "prime factor string" in this case is a formatted representation that captures this factorization. It shows each prime factor and the number of times it divides the original number.
What is the longest factor string for 600?
Find the prime factors first.
Is it possible to find the prime factorization of a negative number and how do you do it?
No. Any factor string of a negative number would have to include at least one negative number and there aren't any negative prime numbers.
Is it possible to find the prime factorization of a negative number?
No. Any factor string of a negative number would have to include at least one negative number and there aren't any negative prime numbers.
How do you know when you have found the longest factor string for a number?
All of the factors are prime.
