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Anil draws a factor tree for 84. Which row shows his tree carried all the way down to prime numbers only?

Class 6Playing with NumbersPlaying with Numbers
  • A
  • B
  • C
  • D

Step-by-Step Solution

84 = . The trap is stopping the tree while a branch is still composite — 42, 21 and 4 can each be broken down further, so those rows are unfinished, not wrong sums.
Answer: A)

Key idea: Prime vs composite

A whole number greater than 1 is **prime** if it has exactly two factors: 1 and itself. It is **composite** if it has more than two factors. The number 1 is neither prime nor composite (it has only one factor — itself). 2 is the only **even** prime; every other even number is divisible by 2 and so has at least three factors.

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