Mathematics ACT Aspire Test 2025 – 400 Free Practice Questions to Pass the Exam

Question: 1 / 400

What is the prime factorization of 30?

3 × 10

5 × 6

2 × 3 × 5

To determine the prime factorization of 30, you start by identifying the prime numbers that multiply together to equal 30.

First, recognize that 30 is an even number, which means it can be divided by 2, the smallest prime number. Dividing 30 by 2 gives you 15. So we have:

30 = 2 × 15.

Next, you need to factor 15. The next step is to check the prime factors of 15. The number 15 can be divided by 3 (another prime number), resulting in:

15 = 3 × 5.

Now, if you put these factors together, you can see that:

30 = 2 × (3 × 5).

This representation highlights that 2, 3, and 5 are all prime numbers. Therefore, the complete prime factorization of 30 is:

30 = 2 × 3 × 5.

This shows that the correct answer is composed solely of prime factors, confirming that option C (2 × 3 × 5) accurately represents the prime factorization of 30.

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2 × 15

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