write the prime factorization of each of the following numbers using factor tree b 84 please tell the answers in solutions methods
Answers
Answer:
84 has a prime factorization =
Step-by-step explanation:
- When a number is factored using primes, or when the factors are prime numbers, the result is known as prime factorization.
- Integers that divide evenly into 84 are considered to be factors of 84. It has a total of 12 components, the largest of which is 84. The first three prime factors of 84 are 2, 3, and 7.
- 84 is a composite number because it can be divided by 1, by itself, at least twice, three times, and seven times. Therefore, its prime tree can be drawn.
- 84 has a prime factorization =
.
See the prime factors tree below.
84
∧
2 42
∧
2 21
∧
3 7
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Answer:
The prime factorization of 84 using factor tree method is × 3 × 7
Step-by-step explanation:
Prime factorization:
- A process of factoring a number in terms of prime numbers is known as prime factorization.
- Integers that divide evenly into 84 are considered to be factors of 84.
- It has a total of 12 components, the largest of which is 84.
- The first three prime factors of 84 are 2, 3, and 7.
Factor tree:
- A method of factorizing a number that matches how tree branches are divided is called a factor tree.
- Every branch of the factor tree is divided into factors, and the branches terminate once the factors cannot be factorized any more.
Factor tree of 84
84
/\
2 42
/\
2 21
/\
3 7
The prime factors of 84 is 2 × 2 × 3 × 7
Final answer:
The prime factorization of 84 using factor tree method is × 3 × 7
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