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29. which numbers are not multiples of 6? write all the numbers that ar…

Question

  1. which numbers are not multiples of 6? write all the numbers that are not multiples of 6.

1 2 6
18 26 36
not multiples of 6
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Explanation:

Step1: Recall multiple definition

A multiple of 6 is \( n = 6k \), \( k\in\mathbb{Z} \). Check each number:

  • \( 1 \): \( 1\div6=\frac{1}{6}

otin\mathbb{Z} \), not a multiple.

  • \( 2 \): \( 2\div6=\frac{1}{3}

otin\mathbb{Z} \), not a multiple.

  • \( 6 \): \( 6\div6 = 1\in\mathbb{Z} \), is a multiple.
  • \( 18 \): \( 18\div6 = 3\in\mathbb{Z} \), is a multiple.
  • \( 26 \): \( 26\div6=\frac{13}{3}

otin\mathbb{Z} \), not a multiple.

  • \( 36 \): \( 36\div6 = 6\in\mathbb{Z} \), is a multiple.

Step2: Identify non - multiples

From the check, numbers not multiples of 6 are 1, 2, 26.

Answer:

1, 2, 26