Q: What are the prime factors of the denominators that terminate?

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if the denominators only prime factor is a 2 and 5 (if it has any) the decimal will terminate otherwise it wont.

Their denominators have prime factors of 2 or 5.

They are rational number which, in their simplest form have denominators whose only prime factors are 2 or 5.

It the divisor has any prime factor other than 2 or 5 [prime factors of 10], then the quotient will repeat. Otherwise it will terminate.

The factors of 233357 are: 1 233357 The prime factors are: (233357 is a prime number)

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if the denominators only prime factor is a 2 and 5 (if it has any) the decimal will terminate otherwise it wont.

Their denominators have prime factors of 2 or 5.

When investigating the prime factors of any number, you would not encounter any fractions.

Denominators which have no common factors

They are rational number which, in their simplest form have denominators whose only prime factors are 2 or 5.

It the divisor has any prime factor other than 2 or 5 [prime factors of 10], then the quotient will repeat. Otherwise it will terminate.

The LCD is the multiple of the highest power of each prime factors of all denominators, 448,916(22x13x89x97=4x13x89x97=448916).

Multiply them by each other.

The LCD is the LCM of all the denominators. The LCM of 13, 34, 532, and 89 is 10,463,908, which is the multiple of the highest power of prime factors from all of the given denominators (22 x 7 x 13 x 17 x 19 x 89 = 10463908). Prime factors of the denominators: 13=13; 34=2 x 17; 532 = 22 x 7 x 19; 89 = 89

Numerators and denominators are just numbers; I hope you're not asking us to factor every number. There are many different methods. I prefer to find the prime factorization; that leads to all the other factors. Some people like to use a factor tree to help visualize the prime factorization.

When the denominators are relatively prime, that is, they have a GCF of 1.

Every prime number terminates.