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Question 4: Find the largest factor of 360 that is smaller than 360.

Question 5: Find the smallest prime factor of 360.

Answer :

The largest factor of 360 smaller than 360 is 72. The smallest prime factor of 360 is 2.

To find the largest factor of 360 that is smaller than 360, we need to factorize 360 and identify the largest factor.

The prime factorization of 360 is: 360 = 2^3 * 3^2 * 5.

To find the largest factor smaller than 360, we can remove one prime factor at a time. By removing the factor of 5, we obtain 72, which is the largest factor of 360 smaller than 360.

Therefore, the largest factor of 360 that is smaller than 360 is 72.

Question 5: To find the smallest prime factor of 360, we can again factorize 360.

The prime factorization of 360 is: 360 = 2^3 * 3^2 * 5.

From the prime factorization, we see that the smallest prime factor of 360 is 2.

Therefore, the smallest prime factor of 360 is 2.

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