Understanding Kpk And Fpb In Maths For Grade 4 Students
Understanding KPK and FPB in Maths for Grade 4 Students
What is KPK?
KPK stands for Kelipatan Persekutuan Terkecil. It is the smallest common multiple of two or more numbers. In other words, it is the least number that can be divided by two or more numbers without a remainder.
What is FPB?
FPB stands for Faktor Persekutuan Terbesar. It is the greatest common factor of two or more numbers. In other words, it is the largest number that can be divided by two or more numbers without a remainder.
KPK and FPB Examples
Let's look at some examples of KPK and FPB. Suppose we have the numbers 6, 8, and 12. The KPK of this set of numbers is 24. This is because 24 is the smallest number that can be divided by 6, 8, and 12 without a remainder. The FPB of this set of numbers is 2. This is because 2 is the largest number that can be divided by 6, 8, and 12 without a remainder.
How to Find KPK and FPB?
To find the KPK and FPB of two or more numbers, you can use the prime factorization method. To do this, you need to break down each number into its prime factors. For example, let's look at the numbers 6, 8, and 12 again. The prime factors for 6 are 2 x 3, the prime factors for 8 are 2 x 2 x 2, and the prime factors for 12 are 2 x 2 x 3.
Finding KPK
Once you have the prime factors for each number, you can use them to find the KPK. The KPK is found by taking the highest power of each prime factor. In this example, the highest power for the prime factor 2 is 3, the highest power for the prime factor 3 is 1. So, the KPK is 23 x 31 = 24.
Finding FPB
To find the FPB, you need to take the lowest power of each prime factor. In this example, the lowest power for the prime factor 2 is 2 and the lowest power for the prime factor 3 is 1. So, the FPB is 22 x 31 = 2.
Summary
In this article, we looked at KPK and FPB in maths for grade 4 students. KPK stands for Kelipatan Persekutuan Terkecil and is the smallest common multiple of two or more numbers. FPB stands for Faktor Persekutuan Terbesar and is the greatest common factor of two or more numbers. We also looked at how to find the KPK and FPB using the prime factorization method.
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