Find the prime factorization of 16th by factor tree method and division method
Answers
Step-by-step explanation:
prime factorization by factor tree method
Observe the following steps.
Suppose, we have to find the prime factors of 16
1. We consider the number 16 as the root of the tree.
2. We write a pair of factors as the branches of the tree i.e., 2 × 8 = 16
3. We further factorize the composite factor 8 as 4 and 2, and again the composite factors 4 as 2 and 2.
We repeat the process again till we get the prime factors of all the composite factors.
2 × 8 = 16
2 × 4 × 2 = 16
2 × 2 × 2 × 2 = 16

The prime factors of 16 = 2 × 2 × 2 × 2.
We can express the factor tree to find the prime factors of 16 in another way also.
4 × 4
2 × 2 × 2 × 2

The prime factors of 16 = 2 × 2 × 2 × 2.