What is the prime factorization of 48?
A2 times 2 times 2 times 3 times 3
B2 times 2 times 3 times 3 times 3
C2 times 3 times 3 times 3 times 3
D2 times 2 times 2 times 2 times 3
Answer & Solution
Correct answer: D. 2 times 2 times 2 times 2 times 3
1. Break 48 into two factors, such as 6 and 8, and keep splitting any factor that is not prime.
2. Splitting 6 gives 2 and 3, and splitting 8 gives 2 and 4, then 4 splits into 2 and 2.
3. Circling every prime that appears leaves four 2s and one 3.
4. Multiplying those circled primes, 2 times 2 times 2 times 2 times 3, gives back 48.
_Source: OpenStax Elementary Algebra (CC BY 4.0), Ch 1 "Foundations", section 1.1 Introduction to Whole Numbers_
Related questions
Simplify by combining like terms: 3x squared + 7x + 9 + 7x squared + 9x + 8.Is zero a positive number or a negative number?Add: 37 + (-53).Simplify: 30 divided by 5, plus 10 times (3 minus 2).The saying "Please Excuse My Dear Aunt Sally" helps students remember what?List the multiples of 9 and the multiples of 12. What is the first number to appear on botFind the prime factorization of 80.Check 4,962 with the divisibility tests for 2, 3, 5, 6, and 10. Which complete list of tho