Year 8 Maths
Working with Numbers
Prime Factors
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Questions
Question 1
201532
Ava and Leo each draw a factor tree for \(450\). Ava starts with \(450 = 2 \times 225\). Leo starts with \(450 = 10 \times 45\). Which statement is correct?
Both trees end with \(2^2 \times 3^2 \times 5\).
Both trees end with \(2 \times 3^2 \times 5^2\). The prime factors do not depend on the first split.
Ava gets \(2 \times 3^2 \times 5^2\) but Leo gets \(2 \times 5 \times 45\).
Only Leo is right. A factor tree must start by splitting off a \(10\).
Both trees end with \(2 \times 3^2 \times 5^2\). The prime factors do not depend on the first split.
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