Table of Contents

## Are all multiples of 3 multiples of 6?

In addition to noticing that every other multiple of 3 is a multiple of 6, students will see that all multiples of 6 are also multiples of 3 because 3 is a factor of 6. So 6, 12, 18, \ldots all appear in the list of multiples of 3.

### What is the first three common multiple of 6?

Find first three common multiples of 6 and 8. 6, 12, 18, 24, 30, 36, 42, 48, 54, 60 ….. 8, 16, 24, 32, 40, 48, 56, 64, 72, 80 …… Hence, the first three common multiples of 6 and 8 are 24, 48 and 72.

#### What is the first common multiple of 6?

Multiples of 6 are: 6, 12, 18, 24, 30, 36, Multiples of 8 are: 8, 16, 24, 32, 40..

**Is the number 3 a multiple of 6 or 7?**

This explains why the odd numbered elements of the sequence are not multiples of 6. The only number in the list of multiples of 3 which is also a multiple of 7 is 21 = 3 7. This is the seventh number in the sequence.

**Why is 10 3 a multiple of 6?**

This explains why the even numbered elements in the sequence are multiples of 6. so that 10 3 is written as a multiple of 6. The second equation uses the associative property of multiplication. This argument works for any even number in place of 8 because each even number has a factor of 2.

## What are the factors and multiples of 6?

Factors: 1 × 6 = 6, so 1 and 6 are factors of 6. 2 × 3 = 6, so 2 and 3 are factors of 6. Multiples: 0 × 6 = 0, so 0 is a multiple of 6. 1 × 6 = 6, so 6 is a multiple of 6. 2 × 6 = 12, so 12 is a multiple of 6. and so on. (Note: there are negative factors and multiples as well)

### Which is an example of a multiple of 6?

Example: the positive factors, and some multiples, of 6: Factors: 1 × 6 = 6, so 1 and 6 are factors of 6. 2 × 3 = 6, so 2 and 3 are factors of 6. Multiples: 0 × 6 = 0, so 0 is a multiple of 6. 1 × 6 = 6, so 6 is a multiple of 6. 2 × 6 = 12, so 12 is a multiple of 6.