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How many factors 3640 has

Question

How many factors 3640 has

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Solution

To find the number of factors of 3640, we first need to find the prime factorization of the number.

  1. The prime factorization of 3640 is 2^4 * 5^1 * 7^1 * 13^1.

  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.

  3. For 3640, this would be (4+1)(1+1)(1+1)*(1+1) = 5 * 2 * 2 * 2 = 40.

So, 3640 has 40 factors.

This problem has been solved

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