Find the prime factorization of the composite number. 1684 $$ \begin{array}{l}1684=\square \ ext { (Type your answer using exponential notation.) }\end{array} $$

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Find the prime factorization of the composite number. 1684 $$ \begin{array}{l}1684=\square \ 	ext { (Type your answer using exponential notation.) }\end{array} $$

UpStudy AI · Accepted Answer

1. Notice that $$1684$$ is even, so it is divisible by $$2$$. Compute:
   $$
   1684 \div 2 = 842.
   $$

2. The number $$842$$ is also even, so divide by $$2$$ again:
   $$
   842 \div 2 = 421.
   $$

3. Now, $$421$$ is odd. Check for factors: it is not divisible by $$3$$, $$5$$, $$7$$, $$11$$, or $$13$$ (and further checks reveal that it is prime). Thus, $$421$$ is a prime number.

4. Combining these steps, the prime factorization of $$1684$$ is:
   $$
   1684 = 2^2 \times 421.
   $$
$$1684 = 2^2 \times 421$$

Find the prime factorization of the composite number. 1684 \( \begin{array}{l}1684=\square \\ \text { (Type your answer using exponential notation.) }\end{array} \)

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