What is the prime factorization of 375?


Quick Answer

The prime factorization of 375 is 3 x 5 x 5 x 5. Prime factorization is a method in mathematics that determines which prime factors, when multiplied together, result in a particular number.

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Full Answer

A prime number is a positive integer greater than 1 that are only divisible by 1 and itself, without giving off a remainder. The prime factorization of any number is determined by writing down all prime numbers that are used to reduce the value to its simplest form.

To obtain the prime factorization of 375, it is initially divided by 3, which is the smallest prime number that evenly divides it. The resulting value of 125 is again divided by 5 to give 25. The number 25 is further divided by 5 to get 5. Since 5 is no longer divisible by any other prime number, the prime factorization for 375 is 3 x 5 x 5 x 5.

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