Using prime factorisation method, find which of the following numbers

1.	Using prime factorisation method, find which of the following numbers are perfect squares. (a) 4489
Answer» Step-by-step explanation: The number 4489 is composite and therefore it will have prime FACTORS. Now let us learn how to calculate the prime factors of 4489. The first step is to divide the number 4489 with the smallest prime FACTOR, here it is 67. We keep dividing until it gives a non-zero remainder. 4489 ÷ 67 = 67 67 ÷ 67 = 1 Further dividing 1 by 67 gives a non-zero remainder. So we stop the PROCESS and CONTINUE dividing the number 1 by the next smallest prime factor. We stop ULTIMATELY if the next prime factor doesn't exist or when we can't divide any further. Since, we can't divide any further in this case so we stop. So, the prime factorization of 4489 is 67²

Using prime factorisation method, find which of the following numbers are perfect squares. (a) 4489

Answer»

Step-by-step explanation:

The number 4489 is composite and therefore it will have prime FACTORS. Now let us learn how to calculate the prime factors of 4489. The first step is to divide the number 4489 with the smallest prime FACTOR, here it is 67. We keep dividing until it gives a non-zero remainder.

4489 ÷ 67 = 67

67 ÷ 67 = 1

Further dividing 1 by 67 gives a non-zero remainder. So we stop the PROCESS and CONTINUE dividing the number 1 by the next smallest prime factor. We stop ULTIMATELY if the next prime factor doesn't exist or when we can't divide any further.

Since, we can't divide any further in this case so we stop.

So, the prime factorization of 4489 is 67²

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