Subjects arithmetic

Number Factorization

Step-by-step solutions with LaTeX - clean, fast, and student-friendly.

Search Solutions

Number Factorization


1. **State the problem:** We are given the number 4305 and need to understand or work with it as a mathematical value. 2. **Understanding the number:** 4305 is a whole number, specifically an integer. 3. **Possible operations:** Since no specific operation is requested, we can consider its properties such as factorization. 4. **Factorization:** To factor 4305, we start by checking divisibility by small primes. - 4305 ends with a 5, so it is divisible by 5. - Divide 4305 by 5: $$\frac{4305}{5} = 861$$ - Next, factor 861. - Check divisibility by 3: sum of digits of 861 is 8+6+1=15, which is divisible by 3. - Divide 861 by 3: $$\frac{861}{3} = 287$$ - Factor 287. - Check divisibility by 7: $$7 \times 41 = 287$$ - So, 287 factors as 7 and 41. 5. **Prime factorization:** Combining all factors: $$4305 = 5 \times 3 \times 7 \times 41$$ 6. **Conclusion:** The prime factors of 4305 are 3, 5, 7, and 41. This completes the factorization and understanding of the number 4305.