3 x 3 x 5 = 45
It is: 32*51 = 45
456
3^2 x 5
3
First, find the prime factorization of the number. For instance, with 45: 45 = 3 * 3 * 5 = 32 * 51 Now, from this prime factorization, any numbers whose prime factorizations do not include these factors is coprime to the number you have.
Students learn that the prime factorization of a number is the given number written as the product of its prime factors. For example, to find the prime factorization of 45, use a factor tree to find that 45 is 5 x 9, and 9 is 3 x 3. So the prime factorization of 45 is 5 x 3 x 3, or 5 x 3^2.
how do i get the prime factorization of 45
Prime factorization of 45 is 3x3x5. Prime factorization of 65 is 5x13.
GCF stands for Greatest Common Factor. This means that the GCF of 45 and 75 will be the greatest common factor of 45 and 75. The prime factorization of 45 is 3^2*5. Thus, a number is a factor of 45 if and only if it does not have more than 2 3s in its prime factorization, more than one 5 in its prime factorization, or any other prime factor. The prime factorization of 75 is 3*5^2. Thus, a number is a factor of 75 if and only if it does not have more than one 3 in its prime factorization, more than 2 5s in its prime factorization, or any other prime factor. Combining those two conclusions together, we get that if a number is a common factor of 45 and 75 if and only if it does not have more than one 3 in its prime factorization, more than one 5 in its prime factorization, or any other prime factor. Since multiplying by a 3 or a 5 will only increase the value of a number, there is no reason to not include them. Thus, the GCF of 45 and 75 is 3*5 or 15.
1763
Neither of the numbers you quote is a prime number, so no, it isn't.
Factorization of 45Factorization of 45 is:1 X 453 X 155 X 9So, the factors of 45 are:1, 3, 5, 9, 15, 45