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Earn +20 ptsQ: What is the prime factorization of 180 using exponents?
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Prime factorization for 180?
180 = 2 * 2 * 3 * 3 * 5
Why is the prime factorization of 180 2x2x3x3x5?
2, 3, and 5 are all prime numbers and that is the only set of prime numbers that multiples to 180.
What is 180 as the product of its prime factors in index form?
180 = 2 x 2 x 3 x 3 x 5 or 22 x 32 x 5
What is the LCM of 12 9 and 15?
To find the Least Common Multiple (LCM) of 12, 9, and 15, we first need to find the prime factorization of each number. The prime factorization of 12 is 2^2 * 3, the prime factorization of 9 is 3^2, and the prime factorization of 15 is 3 * 5. To find the LCM, we take the highest power of each prime factor that appears in any of the numbers: 2^2 * 3^2 * 5 = 180. Therefore, the LCM of 12, 9, and 15 is 180.
What is the longest multiplication combination for 180?
2x2x3x3x5This question is equivalent to asking for the prime factorization:180 = 10x18 =(2x5)x(2x9) = 2x5x2x(3x3) = 2x2x3x3x5
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