Find the number of factors of 24?Options :41068
Question
Find the number of factors of 24?Options :41068
Solution 1
The number of factors of 24 can be found by first determining its prime factorization.
Step 1: Prime factorization of 24 24 = 2^3 * 3^1
Step 2: Add 1 to the power of each prime factor For 2^3, we add 1 to get 3 + 1 = 4 For 3^1, we add 1 to get 1 + 1 = 2
Step 3: Multiply the numbers obtained in step 2 4 * 2 = 8
So, the number of factors of 24 is 8.
Therefore, none of the options provided (4, 10, 6, 8) are correct.
Solution 2
The number of factors of 24 can be found by first determining its prime factorization.
Step 1: Prime factorization of 24 is 2^3 * 3^1.
Step 2: The number of factors is determined by adding 1 to each of the exponents in the prime factorization and then multiplying these results together.
So, for 24, you would add 1 to 3 (the exponent of 2) and 1 to 1 (the exponent of 3) to get 4 and 2, respectively.
Step 3: Multiply these results together.
4 * 2 = 8.
So, 24 has 8 factors.
Therefore, none of the options given (4, 10, 6, 8) are correct.
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