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What are the prime power factorization of 80?
The prime power factorization of 80 is 24 x 5.
What is 540 and 80 expressed as a product of their prime factors?
Prime factorization of 540 = 2x2x3x3x3x5 Prime factorization of 80 = 2x2x2x2x5
What is the least common multiple of 40 80 and 128?
The least common multiple (LCM) of 40, 80, and 128 is 640. To find the LCM, you can find the prime factors of each number and then take the highest power of each prime factor that appears in any of the numbers. In this case, the prime factorization of 40 is 2^3 * 5, the prime factorization of 80 is 2^4 * 5, and the prime factorization of 128 is 2^7. Taking the highest powers, we get 2^7 * 5 = 640.
Which of these numbers when given in their prime factorization form has the least number of distinct prime factors 80 100 144 289 441?
289 does.
What is the gcf of 40 and 60 and 80?
The gcf is the greatest common factor. A way of finding the gcf of three numbers is to find the gcf of the first two and then finding the gcf of that number and the third number. Because of the unique prime factorization theorem, the greatest common factor will be a product of some of the prime factors in either number. The prime factorization of 40 is 2^3 * 5 and the prime factorization of 60 is 2^2 * 3 * 5, so the gcf is going to be what is in both, or, in this case, 2^2 * 5. Th prime factorization of 80 is 2^4 * 5 and so gcf of all three numbers is 2^2 * 5, or 20.
