Samantha hops along a row of fence posts, counting out loud.
"Six, twelve, eighteen, twenty-four!" she calls on each post.
Lucy the Ladybug watches from a clover. "Why skip so many numbers?"
"I am counting by sixes," says Samantha. "These are multiples of 6."
Bennie smiles. "A multiple of 6 is 6 times a counting number."
"And 24 is a multiple of 6 because 6 is a factor of 24."
Lucy thinks about that. "So factors and multiples are partners!"
The first multiples of 6 are 6, 12, 18, 24, 30, 36, 42.
Each one is 6 times a counting number.
For example, 18 = 6 × 3, so 18 is a multiple of 6.
If 6 is a factor of 24, then 24 is a multiple of 6.
To check if 72 is a multiple of 8, ask: does 8 times a number make 72?
Yes: 8 × 9 = 72. So 72 is a multiple of 8.
| Sentence | True or false? |
|---|---|
| 72 is a multiple of 8. | ? |
| 45 is a multiple of 6. | ? |
| Every number is a multiple of 1. | ? |
| 8 × 9 = 72 | ? |
Nice counting! Tomorrow we meet prime and composite numbers.