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How many positive divisors does the number 202410 have?

Question

How many positive divisors does the number 202410 have?

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Solution 1

To find the number of positive divisors of the number 202410, we first need to find its prime factorization.

  1. Prime factorization of 202410:

202410 = 2 * 5 * 101 * 401

  1. Now, we count the number of times each prime number appears in the factorization and add 1 to each count:

For 2, it appears once, so we get 1 + 1 = 2 For 5, it appears once, so we get 1 + 1 = 2 For 101, it appears once, so we get 1 + 1 = 2 For 401, it appears once, so we get 1 + 1 = 2

  1. Finally, we multiply these counts together to get the total number of positive divisors:

2 * 2 * 2 * 2 = 16

So, the number 202410 has 16 positive divisors.

This problem has been solved

Solution 2

To find the number of positive divisors of 202410, we first need to find its prime factorization.

  1. Prime factorization of 202410:

    202410 = 2 * 5 * 101 * 401

  2. Now, we count the number of times each prime number appears in the factorization and add 1 to each count:

    For 2, it appears once, so we have 1 + 1 = 2.

    For 5, it appears once, so we have 1 + 1 = 2.

    For 101, it appears once, so we have 1 + 1 = 2.

    For 401, it appears once, so we have 1 + 1 = 2.

  3. Finally, we multiply these counts together to get the total number of positive divisors:

    2 * 2 * 2 * 2 = 16

So, the number 202410 has 16 positive divisors.

This problem has been solved

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