Subjects arithmetic

Multiples Factors C89973

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1. **State the problem:** Find the first 5 multiples and all the factors of 12. 2. **Multiples:** Multiples of a number are found by multiplying the number by natural numbers (1, 2, 3, ...). 3. **Calculate the first 5 multiples of 12:** $$12 \times 1 = 12$$ $$12 \times 2 = 24$$ $$12 \times 3 = 36$$ $$12 \times 4 = 48$$ $$12 \times 5 = 60$$ So, the first 5 multiples of 12 are 12, 24, 36, 48, and 60. 4. **Factors:** Factors of a number are integers that divide the number exactly without leaving a remainder. 5. **Find all factors of 12:** Check all numbers from 1 to 12: - 1 divides 12 (12 ÷ 1 = 12) - 2 divides 12 (12 ÷ 2 = 6) - 3 divides 12 (12 ÷ 3 = 4) - 4 divides 12 (12 ÷ 4 = 3) - 5 does not divide 12 exactly - 6 divides 12 (12 ÷ 6 = 2) - 12 divides 12 (12 ÷ 12 = 1) So, the factors of 12 are 1, 2, 3, 4, 6, and 12. 6. **Composite number:** A composite number has more than two factors. Since 12 has factors other than 1 and itself, it is composite. **Final answer:** - First 5 multiples of 12: 12, 24, 36, 48, 60 - Factors of 12: 1, 2, 3, 4, 6, 12 - 12 is a composite number.