Question

write the prime factorization of the number.

1. 24
2. 66
3. 50
4. 80
5. 98
6. 126
7. 154
8. 310

find the greatest perfect square that is a factor of the number.

1. 117
2. 150
3. 539
4. 936

1. exercise an exercise class has 28 participants. the instructor arranges the participants in rows. each row has the same number of participants. how many possible arrangements are there?

Explanation:

Prime factorization of numbers 1 to 14

$$
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$$

Greatest perfect square factors of numbers 15 to 18

$$
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$$

Possible row arrangements for 28 participants

$$
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$$

Answer:

No.	Answer
2	\(2 \times 3 \times 5\)
3	\(3^2 \times 7\)
4	\(2^2 \times 5^2\)
5	\(3^3 \times 5\)
6	\(5^2 \times 11\)
7	\(2^3 \times 3\)
8	\(2 \times 3 \times 11\)
9	\(2 \times 5^2\)
10	\(2^4 \times 5\)
11	\(2 \times 7^2\)
12	\(2 \times 3^2 \times 7\)
13	\(2 \times 7 \times 11\)
14	\(2 \times 5 \times 31\)
15	\(9\)
16	\(25\)
17	\(49\)
18	\(36\)
19	\(6\)