Prime Numbers Factorization Factor Tree Curvebreakers As a simple example, below is the prime factorization of 820 using trial division: 820 ÷ 2 = 410. 410 ÷ 2 = 205. since 205 is no longer divisible by 2, test the next integers. 205 cannot be evenly divided by 3. 4 is not a prime number. it can however be divided by 5: 205 ÷ 5 = 41. Step 1. divide the composite number, 44, by a prime number, such as 2. step 2. since 22 is still a composite number, break it down further. divide it by 2 again. step 3. now we’ve reached the last prime factor! this gives us the answer: therefore, the prime factors of 44 are 2 • 2 • 11 or 22 • 11.
What Are Factor Trees Characteristics Uses And Examples The answer should be a whole number, and 73½ is not. let's try the next prime number, 3: 147 ÷ 3 = 49. that worked, now try factoring 49. the next prime, 5, does not work. but 7 does, so we get: 49 ÷ 7 = 7. and that is as far as we need to go, because all the factors are prime numbers. 147 = 3 × 7 × 7. 1. find a product that has the number you want to factorize as the answer. (example: 8 ⋅ 3 = 2 4 ). 2. check if any of the factors are prime numbers. if you have a prime number, put a ring around it (3 is a prime number, put a ring around it). 3. if one or both of the numbers are not prime numbers, you need to find a product that is equal to. Example: find the prime factorization of 36. solution: the prime factors of 36 are 2 and 3. we can write 36 as a product of prime factors: 2 × 2 × 3 × 3. the factor tree method is quite flexible – at each branch you can break the number into any factors until you reach the prime factors. the result is the same: 36 = 3 × 2 × 2 × 3. In this video, we discuss prime and composite numbers. i use factor trees to find the factors. want the notesheet i use in this lesson? click on the link.
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