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The prime factorization of 48 is .
Conditions: The number being factored is 48.; The terminal factors in the displayed tree are 2, 2, 2, 2, and 3.
The prime factorization of 48 is .
Conditions: The number being factored is 48.; The terminal factors in the displayed tree are 2, 2, 2, 2, and 3.
Yes, starting a factor tree with a different pair of factors will still yield the same prime factors. The final set of prime factors is unique regardless of the initial split.
Conditions: The number being factored is the same.; Each branch is decomposed into valid factor pairs.; The process continues until all leaves are prime.
Yes, starting a factor tree with a different pair of factors will still yield the same prime factors. The final set of prime factors is unique regardless of the initial split.
Conditions: The number being factored is the same.; Each branch is decomposed into valid factor pairs.; The process continues until all leaves are prime.
No, you do not have to start a factor tree with 2 for an even number. While 2 is always a factor of an even number, you can choose any valid factor pair to begin the tree.
Conditions: The number is even.; The chosen first split is still a valid factor pair.
No, you do not have to start a factor tree with 2 for an even number. While 2 is always a factor of an even number, you can choose any valid factor pair to begin the tree.
Conditions: The number is even.; The chosen first split is still a valid factor pair.
You stop breaking down a factor once it is prime because prime numbers only have two factors, 1 and the number itself, meaning they cannot be broken down further into smaller positive integers.
Conditions: The current branch value is prime.; The goal is to express the original number as a product of primes only.
You stop breaking down a factor once it is prime because prime numbers only have two factors, 1 and the number itself, meaning they cannot be broken down further into smaller positive integers.
Conditions: The current branch value is prime.; The goal is to express the original number as a product of primes only.
You can check a prime factorization by multiplying the prime factors back together. If the product equals the original number, the factorization is correct.
Conditions: The factors being multiplied must be the claimed prime factors.; The product must equal the original number exactly.
You can check a prime factorization by multiplying the prime factors back together. If the product equals the original number, the factorization is correct.
Conditions: The factors being multiplied must be the claimed prime factors.; The product must equal the original number exactly.