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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.

Numbers in the factor tree are circled to indicate that they are prime numbers, which serve as terminal leaves and cannot be broken down further in this procedure.

Conditions: A branch is continued only if the current number is composite.; A branch stops once the current number is prime.

Numbers in the factor tree are circled to indicate that they are prime numbers, which serve as terminal leaves and cannot be broken down further in this procedure.

Conditions: A branch is continued only if the current number is composite.; A branch stops once the current number is prime.

The prime factorization of 48 is $48 = 2 \times 2 \times 2 \times 2 \times 3$.

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 $48 = 2 \times 2 \times 2 \times 2 \times 3$.

Conditions: The number being factored is 48.; The terminal factors in the displayed tree are 2, 2, 2, 2, and 3.

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.