24 x 3 x 5
Well, let's take a moment to appreciate the number 240. If we break it down into its prime factors, we get 2 x 2 x 2 x 2 x 3 x 5. In index form, this would be written as 2^4 x 3 x 5. Isn't it wonderful how numbers can be broken down into their simplest, most beautiful form?
To find the Least Common Multiple (LCM) of 240 and 900, we first need to find the prime factorization of each number. The prime factorization of 240 is 2^4 * 3 * 5, and the prime factorization of 900 is 2^2 * 3^2 * 5^2. The LCM is the product of the highest power of each prime factor that appears in either factorization, so the LCM of 240 and 900 is 2^4 * 3^2 * 5^2, which equals 3600.
To find the greatest common factor (GCF) of 240, 300, and 360, we first need to find the prime factorization of each number. 240 = 2^4 * 3 * 5 300 = 2^2 * 3 * 5^2 360 = 2^3 * 3^2 * 5 Next, we identify the common prime factors and their lowest exponents: 2^2 * 3 = 12. Therefore, the GCF of 240, 300, and 360 is 12.
240 / 864 = 5/18
That is correct, the prime factorization of 240 is 24 x 3 x 5
2 is the only exponential number in the prime factorization of 240 (2 x 2 x 2 x 2 x 3 x 5 or 24 x 3 x 5).
As a product of its prime factors in exponents: 24*3*5 = 240
240 = 2.4 × 102
240 = 24 x 31 x 51
240 120,2 60,2,2 30,2,2,2 15,2,2,2,2 5,3,2,2,2,2
240 = 24 x 31 x 51
In exponent terms: 24*31*51 = 240
24 x 3 x 5
The prime factors are: 2,3,5
240
2^4 x 3 x 5