What is the largest prime factor of 2008?

Unlock all questions

This demo includes only 20 questions. Upgrade to access hundreds of questions, flashcards, exam simulations, and disable ads.

Full question bankExam simulationsFlashcards
From $24.99Unlock all

Prepare for the JH Academic Bowl Test with flashcards and multiple choice questions, including hints and explanations. Elevate your confidence ahead of the exam!

Multiple Choice

What is the largest prime factor of 2008?

Explanation:
This question tests how to break a number down into prime factors and pick the largest one. Start by pulling out the smallest prime factor. Because 2008 is even, divide by 2 repeatedly: 2008 = 2 × 1004, and 1004 = 2 × 502, and 502 = 2 × 251. What remains after removing all factors of 2 is 251. Now, 251 has no divisors among the primes up to its square root, so it is prime. Therefore the prime factorization is 2^3 × 251, and the largest prime factor is 251. The other choices aren’t factors of 2008, so they can’t be the prime factors.

This question tests how to break a number down into prime factors and pick the largest one. Start by pulling out the smallest prime factor. Because 2008 is even, divide by 2 repeatedly: 2008 = 2 × 1004, and 1004 = 2 × 502, and 502 = 2 × 251. What remains after removing all factors of 2 is 251. Now, 251 has no divisors among the primes up to its square root, so it is prime. Therefore the prime factorization is 2^3 × 251, and the largest prime factor is 251. The other choices aren’t factors of 2008, so they can’t be the prime factors.

More Multiple Choice Questions
Subscribe

Get the latest from Examzify

You can unsubscribe at any time. Read our privacy policy