What is the number of divisor of 1008?
Created: 2 years ago |
Updated: 7 months ago
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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.
Prime factorization of 1008: 1008 = 2^4 * 3^2 * 7
Now, to find the number of divisors, we use the following formula:
Number of divisors = (a + 1)(b + 1)(c + 1)...
Where a, b, c, ... are the exponents of the prime factors in the factorization.
In this case: a = 4 (the exponent of 2) b = 2 (the exponent of 3) c = 1 (the exponent of 7)
Number of divisors = (4 + 1)(2 + 1)(1 + 1) = 5 * 3 * 2 = 30
So, the number of divisors of 1008 is 30.
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