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Question
What is the number of divisor of 1008?
12
20
30
32
ANSWER : 3
Descrption
<p style="margin-left:0px;">To find the number of divisors of 1008, we can first factorize 1008 into its prime factors and then use the formula for finding the number of divisors.</p><p style="margin-left:0px;">Prime factorization of 1008: 1008 = 2^4 * 3^2 * 7</p><p style="margin-left:0px;">Now, to find the number of divisors, we use the following formula:</p><p style="margin-left:0px;">Number of divisors = (a + 1)(b + 1)(c + 1)...</p><p style="margin-left:0px;">Where a, b, c, ... are the exponents of the prime factors in the factorization.</p><p style="margin-left:0px;">In this case: a = 4 (the exponent of 2) b = 2 (the exponent of 3) c = 1 (the exponent of 7)</p><p style="margin-left:0px;">Number of divisors = (4 + 1)(2 + 1)(1 + 1) = 5 * 3 * 2 = 30</p><p style="margin-left:0px;">So, the number of divisors of 1008 is 30.</p>
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