QuestionNumber Theory and Fractions Unit Test
Express the prime factorization of 1,200 as a product of prime numbers with exponents. (2 points)
4. $\square$ $\square$ ${ }^{2}=1,200$ $\square$

Studdy Solution
Write the prime factorization using exponents. Count the number of times each prime factor appears:
- $2$ appears $4$ times. - $3$ appears $1$ time. - $5$ appears $2$ times.
Thus, the prime factorization of $1,200$ is:
$$2^4 \times 3^1 \times 5^2$$
The prime factorization of $1,200$ is:
$\boxed{2^4 \times 3 \times 5^2}$