Students build factor trees for eight numbers, write each answer with exponents, spot a prime that cannot split, and find a factor-tree mistake.
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Students break eight numbers from 84 to 270 into primes with factor trees and write each answer in exponent form, after a worked tree for 132 that ends at 2² × 3 × 11. Two numbers check whether they understand the method: 97 is prime and needs no tree, and 196 is a perfect square. In the last item, students decide which of two trees for 120 is wrong, since one treats 4 as prime, and explain why. The answer key accepts any tree that reaches the same primes.
Watch box 5, 97. Students often try a few factors and stall. The strip rules out 2, 3 and 5; checking 7 is then enough, because 11 × 11 is already more than 97.
Before writing exponents, have students count each kind of circled prime on their tree. Missing one 3 in 216 gives 2³ × 3², which is only 72.
Ways to adjust the eight trees and the error item for different students.
Each one is checked against the official document. Where the resource covers only part of a standard, the note says so.
Students build factor trees for eight numbers, write each number as a product of primes, spot a prime number that cannot be split, and find the mistake in a finished tree. Writing repeated factors with exponents goes a little past this Grade 6 expectation.
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