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What is the greatest common factor of 12 60 and 68?
To find the greatest common factor (GCF) of 12, 60, and 68, we first need to find the prime factorization of each number. The prime factorization of 12 is 2^2 * 3, the prime factorization of 60 is 2^2 * 3 * 5, and the prime factorization of 68 is 2^2 * 17. The GCF is the product of the common prime factors raised to the lowest power, which in this case is 2^2 = 4. Therefore, the greatest common factor of 12, 60, and 68 is 4.
What is the prime factorization of the fraction 540 over 600?
To find the prime factorization of the fraction 540/600, first simplify the fraction by dividing both the numerator and denominator by their greatest common factor, which is 60. This simplifies the fraction to 9/10. The prime factorization of 9 is 3^2, and the prime factorization of 10 is 2 * 5. Therefore, the prime factorization of the fraction 540/600 is 3^2/2 * 5.
What is the prime factor of 60 in exponential form?
The prime factorization of 60 in exponential form:60 = 2 x 2 x 3 x 5.The answer: 22 x 5 x 3.
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.
How do you find the greatest common factor of 45 using prime factorization?
You do not. To have a greatest common factor, you need two or more numbers. A common factor is a factor that two or more number have in common. However, the prime factorization of all the numbers will help you find the greatest common factor. The greatest common factor will be the prime factors they have in common multiplied together. Example: The prime factors of 45 are 3, 3, and 5. The prime factors of 60 are 2, 2, 3, and 5. The common prime factors are 3 and 5, so the greatest common factor is 3 x 5 = 15.
