The prime factorization of 180 is 2x2x3x3x5 (or22x32x5)
In order to find the common multiples of two numbers you first need to express them as the product of their prime factors: 30 = 2x3x5 36 = 2x2x3x3 The next step is to identify any common factors. In this case, both numbers have a 2 and a 3 as prime factors, so we can discard one of each. Take all the remaining prime factors (2, 2, 3, 3 and 5) and multiply them together to get the LCM: 2x2x3x3x5 = 180. To find other multiples that 30 and 36 have in common, you multiply this number by any integer (2, 3, 4...) Thus the first few common multiples of 30 and 36 are: 180, 360, 540, 720...
The prime factorization of 2x2x3x3x5 is 2^2 * 3^2 * 5. When we multiply these prime factors together, we get the number 180. Therefore, the number with the prime factorization of 2x2x3x3x5 is 180.
The LCM is 2x2x3x3x5=180
The prime factorization of 180 is 2x2x3x3x5 (or22x32x5)
thank you so much for your help -lulu small
4 = 2x2 45 = 3x3x5 LCM = 2x2x3x3x5 = 180
The prime factorization of 180 is 2x2x3x3x5. Six consecutive prime numbers do not exist in its factorization.
2, 3, and 5 are all prime numbers and that is the only set of prime numbers that multiples to 180.
2x2x3x3x5This question is equivalent to asking for the prime factorization:180 = 10x18 =(2x5)x(2x9) = 2x5x2x(3x3) = 2x2x3x3x5
Prime factor both numbers and use all the factors that are in both numbers. 30=2x3x5 180=2x2x3x3x5 2x3x5=30 is the gcf
18 = 2x3x3 20 = 2x2x5 lcm = 2x2x3x3x5 = 18x10=180
The least common multiple of 12, 15, and 18 is 180.12 = 2x2x318 = 2x3x315 = 3x5so LCM = 2x2x3x3x5 = 180
The index notation of 2x2x3x3x5 is 2^2 * 3^2 * 5. This can also be written as 2^2 * 3^2 * 5^1, where the numbers represent the base and the exponents represent the number of times each base is multiplied by itself. In this case, 2 is multiplied by itself twice, 3 is multiplied by itself twice, and 5 is multiplied by itself once.