+0

# Prime factors

0
103
3

Are there any composite numbers factored strictly 11 or higher that is between 1 & 1000 only? You cannot have a prime factor belower than 11, you can have higher prime factors

Apr 19, 2022

#1
+1

(121, 143, 169, 187, 209, 221, 247, 253, 289, 299, 319, 323, 341, 361, 377, 391, 403, 407, 437, 451, 473, 481, 493, 517, 527, 529, 533, 551, 559, 583, 589, 611, 629, 649, 667, 671, 689, 697, 703, 713, 731, 737, 767, 779, 781, 793, 799, 803, 817, 841, 851, 869, 871, 893, 899, 901, 913, 923, 943, 949, 961, 979, 989) = 64 numbers,

They all have factors between 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, & 89

Apr 19, 2022
#2
+114
-3

Hmm ig ur right

Kakashi  Apr 19, 2022
#3
+9459
+2

Take two primes greater than or equal to 11, then multiply them together. It would result in a composite number satisfying the condition.

For example:

$$11 \times 13 = 143$$ is a number with prime factors 11 and 13, which are both at least 11.

Apr 19, 2022