MÚLTIPLOS E DIVISORES - RESUMÃO - 6º e 7º ano

Summary

In this lesson, the teacher explains the difference between multiples and divisors. Multiples are related to multiplication, starting at 0 and continuing infinitely, while divisors are related to division, starting at 1 and being finite. The teacher provides examples of multiples and divisors for numbers like 6, 15, and 36, showing how to identify them through multiplication and division. Students are encouraged to practice with exercises and access additional lessons for deeper understanding. The lesson aims to clarify these concepts, ensuring students grasp the differences between multiples and divisors.

Takeaways

• 😀 Multiples are related to multiplication and are always infinite, starting from zero.
• 😀 Divisors are related to division and are finite, starting from one and ending with the number itself.
• 😀 The multiples of a number, such as 6, are the results of its multiplication table (e.g., 0, 6, 12, 18, 24, ...).
• 😀 Divisors are the numbers that divide another number evenly (e.g., divisors of 6 are 1, 2, 3, and 6).
• 😀 For multiples, the first few are given, but they continue infinitely (e.g., multiples of 6: 0, 6, 12, 18, ...).
• 😀 Divisors always start at 1 and end at the number itself, such as 1 and 6 for the number 6.
• 😀 Multiples are the result of multiplying a number by consecutive integers (e.g., multiples of 15: 0, 15, 30, 45, 60).
• 😀 For divisors of a number like 15, you can find divisors by dividing it by numbers like 1, 3, 5, and 15.
• 😀 Multiples increase by a fixed amount (e.g., multiples of 6 increase by 6 each time: 6, 12, 18, 24).
• 😀 The divisors of 36 include numbers like 1, 2, 3, 4, 6, 9, 12, 18, and 36, with each divisor resulting from even division.
• 😀 For divisors of even numbers, there is often a middle point after which the divisors mirror around the middle value.

Q & A

What is the difference between multiples and divisors?

Multiples are related to multiplication and are infinite, always starting from zero. Divisors are related to division and are finite, starting from 1 and ending with the number itself.

Do multiples start from zero?

Yes, multiples always start from zero. For example, the multiples of 6 are 0, 6, 12, 18, 24, and so on.

What is the first multiple of any number?

The first multiple of any number is always zero.

Can you give an example of the multiples of 6?

The multiples of 6 are 0, 6, 12, 18, 24, and continue infinitely.

What are divisors, and how are they different from multiples?

Divisors are numbers that divide another number exactly, and they are finite. They always start from 1 and end with the number itself.

What are the divisors of 6?

The divisors of 6 are 1, 2, 3, and 6.

What are the divisors of 15?

The divisors of 15 are 1, 3, 5, and 15.

Do divisors start from 1?

Yes, divisors always start from 1 and end with the number itself.

What are the divisors of 36?

The divisors of 36 are 1, 2, 3, 4, 6, 9, 12, 18, and 36.

Why are multiples infinite, but divisors are finite?

Multiples are infinite because you can keep adding the same number repeatedly. Divisors are finite because they only include numbers that divide the given number without leaving a remainder, and there are a limited number of such divisors.