HOW TO FIND HCF AND LCM OF TWO COMPOSITE NUMBERS?

5:02 AM Add Comment
HOW TO FIND HCF AND LCM OF TWO COMPOSITE NUMBERS ?

How to find Highest Common Factor and Least Common Multiple of two composite numbers?
For example, we want to find HCF and LCM of 16 and 36, from this factor tree animation below



we will get
HCF and LCM

Choose the smallest number for each set to find the HCF

so, HCF of 16 and 36 is 2^2=4.
And choose the highest number for each set to find the LCM

so, LCM of 16 and 36 is 2^4x3^2=144.

Or we can use the Venn Diagram below
hcf
Based on Venn Diagram above, we put 2, 2, 2, and 2 as the factors of 16, and put 2, 2, 3 and 3 as the factors of 36.

And the shaded pink region as common factors of 16 and 36
so, HCF of 16 and 36 is 2.2=4 (multiply only the common factors)
and LCM of 16 and 36 is 2.2.2.2.3.3=144 (multiply all factors togethers)



Lets learn maths. :)

PRIME AND COMPOSITE NUMBER

4:58 AM Add Comment
PRIME NUMBER

Prime number is a number that has only 2 factors e.g 1 and the number itself.

How to check a given number is prime or not?

*Example 1, is 331 a prime number or not?

To answer it, we have to do three following steps

Step 1. Find the square root of 331 by calculator, the result is 18.193

Step 2. List all prime number which less than 18.193. These prime numbers are

2,3,5,7,11,13,and 17.

Step 3. Divide 331 with all prime numbers that already listed from step 2

If one of these prime number could divide 331 exactly without reminder, we can conclude 331 is not prime number and vice versa.


*Example 2 , is 221 a prime number or not?

To answer it, we have to do three following steps

Step 1. Find the square root of 221 by calculator, the result is 14.866

Step 2. List all prime number which less than 14.866. These prime numbers are

2,3,5,7,11,and 13.

Step 3. Divide 221 with all prime numbers that already listed from step 2

If one of these prime number could divide 221 exactly without reminder, we can conclude 221 is not prime number and vice versa.

*Example 3, is 527 a prime number or not?

To answer it, we have to do three following steps

Step 1. Find the square root of 527 by calculator, the result is 22.95

Step 2. List all prime number which less than 22.95. These prime numbers are

2,3,5,7,11,13,17,and 19.

Step 3. Divide 527 with all prime numbers that already listed from step 2

If one of these prime number could divide 527 exactly without reminder, we can conclude 527 is not prime number and vice versa.


Okay, Now your turn to answer this questions :


1. Is 527 a prime number or not?

2. Is 331 a composite number or not?

3. What is the composite number?

4. What is the prime number?

5. How to check a number is prime number or not?

6. Is 323 a composite number or not?

7. Is the prime number is always odd number?

8. List the odd number which is not prime number?


COMPOSITE NUMBER

The composite number is a number that has more than 2 factors.

*Example 1. Number 9 is a composite number, because has 3 factors e.g 1,3 and 9

*Example 2. Number 15 is a composite number, because has 4 factors e.g 1,3,5 and 15

*Example 3. Number 21 is a composite number, because has 4 factors e.g 1,3,7 and 21

*Example 4. Number 27 is a composite number, because has 3 factors e.g 1,3,9 and 27

*Example 5. Number 35 is a composite number, because has 3 factors e.g 1,5,7 and 35

BUT


*Example 6. Number 2 is a NOT composite number, because only has 2 factors e.g 1 and 2

*Example 7. Number 5 is a NOT composite number, because only has 2 factors e.g 1 and 5

*Example 8. Number 7 is a NOT composite number, because only has 2 factors e.g 1 and 7

So, number 2,5 and 7 are examples of prime number.

How about number 1? Is number 1 prime number or composite number?

The answer is number 1 has only one factor, so it's not included as prime NOR composite number.

lets learn maths :) :D

SIAPA YANG LEBIH PINTAR DARI DUA ORANG INI?

9:19 AM 2 Comments



Menjelang acara tujuh belasan, ada dua orang ingin mencoba mengukur tinggi dari tiang bendera.
"Ayo kita ukur tinggi tiangnya" kata orang pertama sambil membawa meteran gulung yang biasa dipakai oleh tukang bangunan, dia mencoba menjulurkan meteran itu ke atas, tetapi meteran itu selalu jatuh dan jatuh lagi.
Lalu orang kedua berkata,
"Tidak usah begitu, tidurkan saja tiangnya lalu kita ukur panjangnya".

Langsung orang pertama menyanggah,
"Bodoh kamu, kita kan mau mengukur tingginya bukan panjangnya".


Orang kedua berpikir "????".

GURU PRIVAT MATEMATIKA, UNTUK SD, SMP, SMA, DAN PERGURUAN TINGGI, SIAP DATANG KE RUMAH

8:38 AM 2 Comments


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SEGITIGA SAMA JUMLAH PADA SETIAP SISINYA

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SEGITIGA SAMA JUMLAH PADA SETIAP SISINYA

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Isilah kotak-kotak kosongnya dengan angka 1,2,3,4,5,6,7,8, dan 9. Tetapi setiap sisi harus mempunyai jumlah yang sama yaitu 17. Bagi yang bisa menjawab akan mendapat...... pertanyaan baru :) :D

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