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The number 132,824 is a positive integer that can be expressed as the product of prime factors. It is a composite number, meaning it is not a prime number.

To find the prime factorization of 132,824, we can start by dividing the number by the smallest prime number, which is 2. We can continue this process until we have broken down the number into its prime factors.

132,824 ÷ 2 = 66,412 66,412 ÷ 2 = 33,206 33,206 ÷ 2 = 16,603 16,603 ÷ 3 = 5,534 5,534 ÷ 2 = 2,767 2,767 ÷ 3 = 922 922 ÷ 2 = 461 461 ÷ 3 = 153 153 ÷ 3 = 51 51 ÷ 3 = 17 17 is a prime number, so we have reached the end of the factorization process.

The prime factorization of 132,824 is, therefore, 2 × 2 × 2 × 3 × 3 × 3 × 17. This means that the number 132,824 can be expressed as the product of these prime factors.

The number of distinct prime factors of 132,824 is 5, as the prime factors are 2, 3, and 17. The number of total prime factors, including repetitions, is 8, as there are three 2s, three 3s, and one 17.

The sum of the prime factors of 132,824 is 2 + 2 + 2 + 3 + 3 + 3 + 17 = 32. This is the sum of all the prime factors that make up the number 132,824.

In conclusion, the number 132,824 is a composite number that can be expressed as the product of its prime factors, which are 2, 2, 2, 3, 3, 3, and 17. The number of distinct prime factors is 5, and the number of total prime factors, including repetitions, is 8. The sum of the prime factors is 32.

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