Oh, what a happy little prime factorization we have here! Let's take a closer look. When we multiply 2 by 3 by 3 by 5, we get 90. So, this prime factorization is for the number 90. Isn't that just lovely?
Prime factorization of 90 = 2x3x3x5
30=2x3x5 45=3x3x5 2x3x3x5=90 The lowest common multiple.
Ronald is correct, as 2x3x3x5 = 6x3x5 = 18x5 = 90. Ronald would have also been correct to put 2x32x5. Donald is incorrect, as 32x5 = 3x3x5 = 9x5 = 45.
Neither 90 nor 500 are prime numbers.
since 15 = 3x5, 6 = 2x3, 9 = 3x3 answer = 2x3x3x5 = 90
Prime factorization of 32 = 2x2x2x2x2 Prime factorization of 90 = 2x3x3x5 Prime factorization of 30 = 2x3x5 What is common in the prime factorization of the numbers? Only 2 is common, so GCF is 2.
To find the HCF of two numbers, you first have to express them as the product of their prime factors. In this case we have: 6 = 2x3 90 = 2x3x3x5 The next step is to identify any common factors. In this case both numbers have a 2 and a 3 as a prime factor. Multiply these and you get 6. Thus the HCF of 6 and 90 is 6.
18 = 2x3x3 so the factors of 18 are 1, 2, 3, 6, 9, 18 90 = 2x3x3x5 so the factors of 90 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90 The gcf of 18 and 90 is 2x3x3 = 18
The first step is to break the numbers down into their prime factors: 18 = 2x3x3 5 = 5 The next step would be to identify any common factors. In this case, there are none. Thus we simply multiply all the factors together: 2x3x3x5 = 90 And so the LCM of 18 and 5 is 90.
To find the least common multiple you first need to break 150 and 90 down into their prime factors: 150 = 2x3x5x5 90 = 2x3x3x5 The next step is to identify any common factors. In this case both numbers have a 2, a 3 and a 5 as a factor, so we can discard one of each. That leaves us with 2, 3, 3, 5 and 5. In order to find the LCM we multiply these numbers together: 2x3x3x5x5 = 450. Thus the least common multiple of 150 and 90 is 450.
Expressing each number as the product of prime numbers can help in taking out common factor. Prime factorization of 90 = 2x3x3x5 = 21x32x51 Prime factorization of 216 = 2x2x2x3x3x3 = 23x33 It is clear that 2x3x3 or 21x32 is common in P.F. of both numbers. So, the highest common factor is 2x3x3 = 18.