What is the prime factorization of 252?
A2 times 2 times 3 times 3 times 7
B2 times 2 times 2 times 3 times 7
C2 times 3 times 3 times 3 times 7
D2 times 2 times 3 times 7 times 7
Answer & Solution
Correct answer: A. 2 times 2 times 3 times 3 times 7
1. Break 252 into two factors, such as 12 and 21, and continue splitting any factor that is not prime.
2. Splitting 12 gives 2, 2, and 3, and splitting 21 gives 3 and 7.
3. Every branch now ends in a prime, so circle each one: two 2s, two 3s, and one 7.
4. Writing 252 as the product of the circled primes gives 2 times 2 times 3 times 3 times 7.
_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