2 x 11 x 11 = 242
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No. Any even numbers (numbers ending in 2, 4, 6, 8, or 0) are even, and all even numbers are divisible by 2; eg. 242 / 2 = 121 - not prime.
The prime factors of 242 are: 2 and 11
242 divided by six equals 40.33333
202, 212, 222, 232, 242, 252, 262, 272, 282, and 292 are the palindromic numbers between 200 and 300. NONE of them are prime, since they must all end in 2 they are even and so are divisible by 2, so they are not prime.
22 x 11