Here are the answers for the questions you have provided:
Question 1: Identify the factors of the whole number 150.
Factors of 150 include:
- 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150.
Correct option: a. 15 times 5 (This equals 75, not a factor of 150 directly.) b. 25 times 6 (This equals 150; correct.) c. 15 times 2 (This equals 30; correct.) d. 5 times 6 (This equals 30; correct.)
So the correct answer for the factors of 150 is:
- b. 25 times 6
Question 2: Identify the factors of the whole number 288.
Factors of 288 include:
- 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288.
Correct option: a. 144 times 4 (This equals 576, not a factor of 288.) b. 36 times 4 times 2 (This equals 288; correct.) c. 36 times 2 (This equals 72, not a factor of 288 directly.) d. 36 times 4 (This equals 144, not the total.)
So the correct answer for the factors of 288 is:
- b. 36 times 4 times 2
Question 3: Identify the prime factorization of the given whole number 56.
Prime factorization of 56:
- 56 = 2 × 2 × 2 × 7 = 2^3 × 7.
Correct option: a. 2 squared times 7 squared (This is not correct.) b. 2 times 7 (This is incomplete.) c. 2 squared times 7 (This only accounts for 28, not 56.) d. 2 cubed times 7 (Correct, since 56 = 2^3 × 7.)
So the correct answer for the prime factorization of 56 is:
- d. 2 cubed times 7
Question 4: Identify the prime factorization of the given whole number 78.
Prime factorization of 78:
- 78 = 2 × 3 × 13.
Correct option: a. 2 times 3 times 13 (Correct.) b. 3 squared times 13 (Incorrect.) c. 2 cubed times 13 (Incorrect; this would equal 104.) d. 2 squared times 3 times 13 (Incorrect; this would equal 78 but not correctly factored.)
So the correct answer for the prime factorization of 78 is:
- a. 2 times 3 times 13
Summary of Answers:
- b. 25 times 6
- b. 36 times 4 times 2
- d. 2 cubed times 7
- a. 2 times 3 times 13
1 answer