Question

write the prime factorization of 45.
order the factors from least to greatest. (for example, 2 × 2 × 3 × 5).

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work it out
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identify factors
prime or composite
lesson: prime factorization

Explanation:

Step1: Start with the smallest prime

Divide 45 by the smallest prime factor, which is 3. $45 \div 3 = 15$

Step2: Factor the quotient

Now factor 15, again by 3. $15 \div 3 = 5$

Step3: Check the last factor

5 is a prime number, so we stop here.

Answer:

$3 \times 3 \times 5$