26/07/2025
Natural number
📌The set of natural numbers is denoted by N and is described as N = 1,2,3,...በዚህ በናቹራል number ስር
i. Even if it is divisible by 2.
ምሳሌ 2, 4, 6, ..
ii. Odd if it is not divisible by 2.
ምሳሌ 1, 3, 5, . . .
iii. Prime if it has only two factors (1 and itself).
ምሳሌ 2, 3, 5, . . .
iv. Composite: if it has three or more factors.
ምሳሌ 4, 6, 8, 9, . . .
⛑Remark: 1 is neither prime nor composite.
📌Prime factorization of a composite number is the product of all its prime factors.ምሳሌ
a) 6 = 2×3 b) 30 = 2×3×5
📌The greatest common factor (GCF) of two numbers a & b is denoted by GCF (a, b) and is the greatest
number which is a factor of each of the given number.
Note: If the GCF of two numbers is 1, then the numbers are called relatively prime.
ምሳሌ Consider the two numbers 24 and 60.
F24={ 1, 2, 3, 4, 6, 12 ,24}
F60= {1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60} ከእነዚህ ውስጥ የሁለቱ የጋራ እና ትልቅ የሆነውን አካፋይ መመረጥ ።
Therefore, GCF(24, 60) = 12
📌እስኪ ይችን ጥያቄ ሞክሩ መልስ በኮሜንት
Consider the three numbers 20, 80 and 450.find GCF ???
🪴The least common multiple (LCM) ትንሹ የጋራ ብዜት of two numbers a & b is denoted by LCM (a, b) and is the least number which is a multiple of each of the given number.
ምሳሌ Consider the two numbers 18 and 24.
M18 = {18, 36, 54, 72,90, 108, 126, 144...}
M24 = {24, 48, 72, 96,120,144...}
የሁለቱን ቁጥሮች የጋራ ብዜት እና ትንሹን መምረጥ
Therefore, LCM (18, 24) = 72
📌 (https://t.me/entrance_tricks)ሌላ የክፍል ስራ Consider the three numbers 20, 80 and 450 find LCM ???
⛑The product of LCM and HCF of any two numbers is equal to the product of the numbers. ይችን ነገር አደራ ያዙልኝ ። ኢንትራንስ 2014 ላይ መጥቶ ነበር ።
ምሳሌ take two numbers 12 and 18.
First, we need to find the highest common factor (HCF) of 12 and 18.
12 = 2 × 2 × 3
18 = 2 × 3 × 3
∴ HCF of 12 and 18 = 2 × 3 = 6
Lowest common multiple (LCM) of 12 and 18 = 2 x 2 x 3 x 3 = 36.
HCF × LCM = 6 × 36 = 216
Also 12 × 18 = 216
Therefore, product of HCF and LCM of 12 and 18 = product of 12 and 18.