Q:
# What Is the Prime Factorization of 200?

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.

Continue Reading
Credit:
Cultura RM/Matelly
Collection Mix: Subjects
Getty Images

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.

Learn more about Algebra-
Q:
## What Is the Prime Factorization of 32?

A: The prime factorization of 32 is 2 x 2 x 2 x 2 x 2. The prime factors of a number are numbers that are both factors and prime. In this case, the only facto... Full Answer >Filed Under: -
Q:
## What Is the Prime Factorization of 700?

A: 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 divisibl... Full Answer >Filed Under: -
Q:
## What Is the Prime Factorization of 40?

A: The prime factorization of 40 is 40 = 2 x 2 x 2 x 5. To find the prime factorization of any number, x, one must determine which prime numbers multiple toge... Full Answer >Filed Under: -
Q:
## What Is the Prime Factorization of 38?

A: The prime factorization of 38 is 19 multiplied by 2. Prime factorization involves finding which prime numbers may be multiplied together to yield a particu... Full Answer >Filed Under: