Officer Aptitude Rating (OAR) Test 2025 – 400 Free Practice Questions to Pass the Exam

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How would you express the number 104 in terms of its prime factors?

2 * 13

4 * 26

2 * 2 * 2 * 2 * 13

To express the number 104 in terms of its prime factors, we need to perform prime factorization.

Starting with 104, we can divide it by the smallest prime number, which is 2. Since 104 is an even number, that division is straightforward:

104 ÷ 2 = 52

Next, we continue to factor 52, again dividing by 2:

52 ÷ 2 = 26

Continuing with 26, we divide once more by 2:

26 ÷ 2 = 13

Now, 13 is a prime number, meaning it cannot be divided further by any prime number other than itself. Therefore, we have completed the factorization process.

Putting it all together, we find that:

104 = 2 × 2 × 2 × 2 × 13, which can also be expressed as \( 2^4 × 13 \).

This breakdown confirms that the correct expression of 104 in its prime factors is indeed 2 multiplied by itself four times (2 * 2 * 2 * 2) along with 13.

Thus, the expression 2 * 2 * 2 * 2 * 13 accurately represents the prime factorization

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