There isn't one. 293 is already prime.
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293 is already prime; no need for a factorization.
There is no factorization of 293 because 293 is a prime number. It is divisible only by 1 and itself.
The prime factorization is... 2x2x2x2x2x5x5
The prime number is the prime factorization. For example, the prime factorization of the prime number 3 is 3. Get it?
Yes. Any prime number greater than 100 has only itself in its prime factorization. Examples: The prime factorization of 101 is 101. The prime factorization of 109 is 109. The prime factorization of 127 is 127. The prime factorization of 311 is 311. The prime factorization of 691 is 691.