To find the factor tree for 64 and 125, we first break down each number into its prime factors. For 64, we can start with 64 = 2 x 32, then 32 = 2 x 16, and finally 16 = 2 x 8. Therefore, the prime factorization of 64 is 2 x 2 x 2 x 2 x 2 x 2 = 2^6. For 125, we have 125 = 5 x 25, and 25 = 5 x 5. Thus, the prime factorization of 125 is 5 x 5 x 5 = 5^3.
125 / \ 5 25 / \ 5 5
125 5 x 25 5 x (5x5) Since 5 is a prime number, the factor tree is complete.
The GCF of 64 and 125 is 1One way to determine the common factors and greatest common factor is to find all the factors of the numbers and compare them.The factors of 64 are 1, 2, 4, 8, 16, 32, and 64.The factors of 125 are 1, 5, 25, and 125.The only common factor is 1. Therefore, the greatest common factor is 1, which means the numbers are relatively prime.
64 32,2 16,2,2 8,2,2,2 4,2,2,2,2 2,2,2,2,2,2
5*25 5*5*5
125 25,5 5,5,5
125 25,5 5,5,5
125 = 53
125 5,,25 5,5,5 125=5,5,5
125 / \ 5 25 / \ 5 5
125 5,25 5,5,5
5,25 5,5,5
125 5 x 25 5 x (5x5) Since 5 is a prime number, the factor tree is complete.
Use a factor tree. 125 25,5 5,5,5
The GCF of 64 and 125 is 1One way to determine the common factors and greatest common factor is to find all the factors of the numbers and compare them.The factors of 64 are 1, 2, 4, 8, 16, 32, and 64.The factors of 125 are 1, 5, 25, and 125.The only common factor is 1. Therefore, the greatest common factor is 1, which means the numbers are relatively prime.
125 25,5 5,5,5
5,25 5,5,5