Factorization of 45 is:
1 X 45
3 X 15
5 X 9
So, the factors of 45 are:
1, 3, 5, 9, 15, 45
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-x2-14x-45 = -(x2+14x+45) delta = 142-4*1*45=16 so x2+14x+45=(x-(-14+4)/2) (x-(-14-4)/2) = (x+5)(x+9) so -x2-14x-45 = -(x+5)(x+9)
To find the least common multiple (LCM) of 45, 54, and 72, we first need to find the prime factorization of each number. The prime factorization of 45 is 3^2 * 5, 54 is 2 * 3^3, and 72 is 2^3 * 3^2. Then, we take the highest power of each prime factor that appears in any of the numbers: 2^3 * 3^3 * 5 = 540. Therefore, the LCM of 45, 54, and 72 is 540.
3 x 3 x 5 = 45 3 x 5 x 5 = 75 45/75 = 3/5
A factor rainbow is a visual representation of the factors of a number. For the number 45, the factor rainbow would display its prime factorization, which is 3 x 3 x 5. This would be represented in a factor rainbow as 45 at the top, with 3 and 5 branching out from it, each with a 3 branching out from it as well. This shows how 45 can be broken down into its prime factors.
Prime factorization of 90 = 2x3x3x5