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Exercises · Q7

Q.Write the set of all prime numbers less than 20 in roster form.

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✓ Free question

Step 1 — Recall the definition of a prime number. A prime number is a whole number greater than 1 with no positive divisors other than 1 and itself.

Step 2 — Check every number from 2 to 19. 2,3,5,7,11,13,17,192, 3, 5, 7, 11, 13, 17, 19 each have no divisors besides 1 and themselves. The remaining numbers in that range (4,6,8,9,10,12,14,15,16,184, 6, 8, 9, 10, 12, 14, 15, 16, 18) each factor into smaller numbers (e.g. 4=2×24 = 2 \times 2, 9=3×39 = 3 \times 3, 15=3×515 = 3 \times 5), so they are excluded.

Step 3 — Collect the result in roster form.

✓Final answer

{2,3,5,7,11,13,17,19}\{2, 3, 5, 7, 11, 13, 17, 19\}

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