"Group Gymnastics Performance" PPT Courseware 4

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"Group Gymnastics Performance" PPT Courseware 4

2×6 = 12

2 and 6 are factors of 12.

12 is a multiple of 2 and also a multiple of 6.

3×4 = 12

3 and 4 are factors of 12.

12 is a multiple of 3 and also a multiple of 4.

Note: For convenience, when studying factors and multiples, the numbers we refer to generally refer to integers (excluding 0).

Recall: What is divisibility?

Like 18÷3=6, 250÷25=10, 188÷4=47, etc.

When an integer is divided by an integer, the quotient is an integer and there is no remainder. This is called integer division.

Let's just say that 18 is divisible by 3, and of course 18 is also divisible by 3. Likewise 250 is divisible by 25 and 10. 188 is divisible by 4 and 47.

Among them, 3 and 6 are both factors of 18, also called divisors of 18. 18 is a multiple of 3 and 6.

Similarly, 25 and 10 are factors (approximators) of 250, and 250 is a multiple of 25 and 10. 4 and 47 are factors (divisors) of 188, and 188 is a multiple of 4 and 47.

Factors and multiples are mutual

We can only say who is a multiple of whom, and who is a factor (divisor) of whom.

We cannot say separately how many are divisors and how many are multiples.

For example: we can say that 36 is a multiple of 12, and 12 is a factor of 36. But we cannot say that 36 is a multiple alone, or that 12 is a factor (divisor).

What are the factors of 18?

18 can be obtained by multiplying which two numbers?

18 = 1 × 18

18 = 2 × 9

The factors of 18 are ___, ___, ___, ___, ___, ___.

It can also be expressed like this on the right: factors of 18

Fill in the corresponding circles with the numbers in the boxes.

1 2 3 4 5 6 8 9 10

12 15 16 18 20 24 30 36 60

(1) 4 and 5 are the ( ) of 20, and 20 is the ( ) of 4 and 5.

(2) The factors of 12 are ( ), the smallest factor is ( ), and the largest factor is ( ).

(3) The factors of 9 are ( ), the smallest factor is ( ), and the largest factor is ( ).

(4) The number of factors of a number is ( ).

Conclusion: The factors of a number are finite, the smallest of which is 1, and the largest is itself.

2, 4, 6, 8, 10, 12... 28, 54, 86, 100, 2358... are all called even numbers, also called even numbers.

1, 3, 5, 7, 9, 11... 29, 33, 95, 87, 1001... are all called odd numbers, also called odd numbers.

What did you find?

Even numbers are 0, 2, 4, 6, 8

The odd ones digits are 1, 3, 5, 7, 9

Fierce eyes and golden eyes.

1. Even numbers are multiples of 2. ( )

2. A number whose units digit is 0 is a multiple of 2 and a multiple of 5. ( )

3. The sum of two odd numbers is not necessarily an even number. ( )

4. The smallest even number is 0, and the smallest odd number is 1. ( )

5. A non-zero natural number, either an odd number or an even number ( )

Characteristics of multiples of 2 and 5

Characteristics of multiples of 2:

Numbers with 0, 2, 4, 6, and 8 in the ones digit are all multiples of 2

Characteristics of multiples of 5:

Numbers with 0 and 5 in the units digit are both multiples of 5. Numbers that are both multiples of 2 and 5: the units digit must be ( )

Decide whether it is right or wrong and explain why:

(1) 4×9=36, so 36 is a multiple and 9 is a factor. ( )

(2) 48 is a multiple of 6. ( )

(3) In 13÷4=3 1, 13 is a multiple of 4. ( )

(4) 36 is a factor of 6. ( )

(5) The multiples of 9 are only 18, 27, and 36. ( )

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"Group Gymnastics Performance" PPT courseware 3:

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