
What are all the factor pairs of ?
Answer
391.5k+ views
Hint: In this question, we need to find the factor pairs of . So, we will find out the prime factors of the given number using the prime factorisation method and then find all the factor pairs by multiplying the prime factors with each other.
Complete step-by step answer:
Here, we need to find the factor pairs of .
We know that is a composite number.
So, we will first find out all the prime factors of the number using the prime factorization. So, we get,
So, the prime factorisation of the number is:
Now, we will find the possible factor pairs of the number by multiplying the prime factors with each other.
Therefore, the possible factors of are: , , , , , , , , , , , , , .
Hence, the factor pairs of are: , , , , , , .
Note:
Prime factorization is a method of finding prime numbers which multiply to make the original number. A prime number is a natural number greater than that is not a product of two smaller natural numbers. In prime factorization, we start dividing the number by the first prime number and continue to divide by until we get a decimal or remainder. Then divide by etc. until we get the remainder with the factors as prime numbers. Then write the numbers as a product of prime numbers.
Complete step-by step answer:
Here, we need to find the factor pairs of
We know that
So, we will first find out all the prime factors of the number using the prime factorization. So, we get,
So, the prime factorisation of the number
Now, we will find the possible factor pairs of the number
Therefore, the possible factors of
Hence, the factor pairs of
Note:
Prime factorization is a method of finding prime numbers which multiply to make the original number. A prime number is a natural number greater than
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