Question

What is the prime factorization of 14641? Enter your answer as a product of prime numbers, like 2×3, or as a single prime number, like 17.

Answer 1

The prime factorization of 14641 is 11 to the power of 4, or 11×11×11×11.

Step-by-step explanation:

The prime factorization of the number 14641 is found by identifying the prime numbers that multiply together to give 14641. After some calculations, we find that 14641 is a perfect square, specifically 121 squared. The number 121 is also a perfect square of 11. So, the prime factorization of 14641 is 11 × 11 × 11 × 11, or 114.