Number Factorization
1. **State the problem:** We are given the number 378282 and need to understand or analyze it.
2. **Identify the nature of the number:** 378282 is a six-digit integer.
3. **Possible analyses:** We can check if it is prime, factor it, or find its properties.
4. **Check for divisibility:** Since the last digit is 2, the number is even and divisible by 2.
5. **Divide by 2:** $$378282 \div 2 = 189141$$
6. **Check if 189141 is divisible by 3:** Sum of digits of 189141 is $1+8+9+1+4+1=24$, which is divisible by 3.
7. **Divide by 3:** $$189141 \div 3 = 63047$$
8. **Check if 63047 is prime or factor further:** 63047 is not divisible by 2 or 3; test divisibility by primes up to its square root.
9. **After testing, 63047 is prime.**
10. **Final prime factorization:** $$378282 = 2 \times 3 \times 63047$$
**Answer:** The prime factors of 378282 are 2, 3, and 63047.