Mathematics · Glossary

What is Multiple, divisor?

Also known as: multiple · divisor

Definition 32.5 Primary & Middle School Mathematics · Chapter 32 — Division and Multiples

The multiples of 66 are its table continued forever: 0,6,12,18,24,0, 6, 12, 18, 24, \dots When 2424 is a multiple of 66, one also says that 66 is a divisor of 2424, or that 2424 is divisible by 66: the division 24÷624 \div 6 leaves no remainder.

The numbers 1 to 30: multiples of 2 and of 3 make patterns — and the numbers wearing both marks (6, 12, 18, 24, 30) are exactly the multiples of 6.
The numbers 11 to 3030: multiples of 22 and of 33 make patterns — and the numbers wearing both marks (66, 1212, 1818, 2424, 3030) are exactly the multiples of 66.

Examples

Example 32.7

Is 534534 divisible by 22? Ends in 44: yes. By 55? No. By 33? 5+3+4=125 + 3 + 4 = 12: yes. So 534534 is divisible by 66 as well (by 22 and by 33) — check: 534=6×89534 = 6 \times 89.

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