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# What is the prime factorization of 200?

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The prime factorization of 200 is 2 x 2 x 2 x 5 x 5, which is written using exponents as 2^3 x 5^2. Prime factorization involves finding the prime numbers that multiply together to make a particular number.

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Prime numbers are numbers that are evenly divisible by only one and themselves. Composite numbers, such as the number 200, have other factors as well. Find two factors of 200, such as 40 x 5. Five is a prime number, but 40 is not. Find two factors of 40, such as 8 x 5. Again, five is prime, but eight is not. Eight equals 4 x 2. Two is prime, but four is a composite equal to 2 x 2. The prime numbers then that multiply together to make 200 are thee twos and two fives.

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## Related Questions

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The prime factorization of 24 is 2 x 2 x 2 x 3. Thus, the number 24 has only 2 prime factors, 2 and 3. Prime factors of 24 are numbers that divide 24 exactly without leaving a remainder and are prime numbers as well.

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The prime factorization of the number 700 is 7 x 5 x 5 x 2 x 2. Using exponents, it is expressed as 2^2 x 5^2 x 7. A prime number is a number only divisible by itself and one.

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Multiply the constants in front, and add the exponents together when multiplying numbers written in scientific notation. Use the generic formula for the process, which takes this form: (n x 10^a) x (m x 10^b) = (nm) x 10^(a+b).