These lessons, v videos, examples, and solutions, aid students learn exactly how to use a element tree to discover the prime determinants of offered numbers.

You are watching: 36 as a product of prime factors

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Every composite number have the right to be expressed together a product of element factors. This product is referred to as the prime factorization the the number. We have the right to use a element tree to uncover the prime factors.

Example:Find the prime factorization that 36.

Solution: The prime determinants of 36 are 2 and also 3.

We can write 36 as a product of prime factors: 2 × 2 × 3 × 3

The variable tree method is quite flexible – at each branch you deserve to break the number into any type of factors till you reach the element factors. The an outcome is the same: 36 = 3 × 2 × 2 × 3

Although the stimulate of the components may be different since we can start with different pairs the factors, every variable tree the 36 has the very same prime factorization.

We can also use exponents to write the element factorization.

36 = 22 × 32

Review prime and also composite numbersA prime number natural number better than 1 that only has actually two factors: one and also itself.Examples: 2,3,5,7,11,13,17,19, …

A composite number is a organic number that has more than two factors.The number 1 is no prime nor composite.

Prime FactorizationTo determine the element factorization that a natural number, we need to uncover the prime numbers that once multiplied together provides us the initial number.We should be careful not come confuse prime factorization through the factors of a number. The components of a number are any kind of two numbers whose product provide the original number. Determinants do not need to be prime.

We can discover the prime factorization that a number making use of the factor tree.

Example:Determine the element factorization that the adhering to numbers:

2454120625

The complying with videos show more examples of finding prime factorization using factor trees.

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Example:Find the prime factorization the 12

Example:Find the prime factorization of 72

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