How many positive divisors does the number 202410 have?
Question
How many positive divisors does the number 202410 have?
Solution 1
To find the number of positive divisors of the number 202410, we first need to find its prime factorization.
- Prime factorization of 202410:
202410 = 2 * 5 * 101 * 401
- 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
- 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.
Solution 2
To find the number of positive divisors of 202410, we first need to find its prime factorization.
-
Prime factorization of 202410:
202410 = 2 * 5 * 101 * 401
-
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.
-
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.
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