Question

Find a prime factorization or 36 and 45

Answer 1

The Prime factorization of 36 and 45 is 3²

Solution :

36 = 2 × 2 × 3 × 3

= 2² × 3²

45 = 3 × 3 × 5

= 3² × 5

Prime Factorization = 3²

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Answer 2

With exponents:

• 36 = 3² * 2²
• 45 = 5 * 3²

Without exponents

• 36 = 3 * 3 * 2 * 2
• 45 = 5 * 3 * 3

Explanation:

Factorization of 36:

• 36
• 3 * 12
• 3 * 3 * 4
• 3 * 3 * 2 * 2
• 3² * 2²

Factorization of 45:

• 45
• 5 * 9
• 5 * 3 * 3
• 5 * 3²

-Chetan K