Question

find the prime factors of the numbers

1. 16
2. 32
3. 88

Explanation:

Factorize 16 using a factor tree

$$
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$$

Factorize 32 using a factor tree

$$
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$$

Factorize 88 using a factor tree

$$
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$$

Answer:

Question 1

• Factor Tree Structure:
• Top box: \(16\)
• First branch: circle = \(2\), box = \(8\)
• Second branch (from \(8\)): box = \(4\), circle = \(2\)
• Third branch (from \(4\)): circle = \(2\), circle = \(2\)
• Prime Factors: \(2 \times 2 \times 2 \times 2\) (or \(2^4\))

Question 2

• Factor Tree Structure:
• Top box: \(32\)
• First branch: circle = \(2\), box = \(16\)
• Second branch (from \(16\)): box = \(8\), circle = \(2\)
• Third branch (from \(8\)): circle = \(2\), box = \(4\)
• Fourth branch (from \(4\)): circle = \(2\), circle = \(2\)
• Prime Factors: \(2 \times 2 \times 2 \times 2 \times 2\) (or \(2^5\))

Question 3

• Factor Tree Structure:
• Top box: \(88\)
• First branch: circle = \(2\), box = \(44\)
• Second branch (from \(44\)): box = \(4\), circle = \(11\)
• Third branch (from \(4\)): circle = \(2\), circle = \(2\)
• Prime Factors: \(2 \times 2 \times 2 \times 11\) (or \(2^3 \times 11\))