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there are consecutive odd numbers which when multiplied together yield 9009. what are the numbers?

Sagot :

We first find the prime factorization of 9009 by continuous division:
3    | 9009
3    | 3003
11  | 1001
7    |  91   
       13
Therefore the prime factorization is 3² x 7 x 11 x 13.
Notice that 11 and 13 are consecutive odd numbers. When we express 3² in standard form it is 9. Then we have 4 consecutive odd numbers which are 7,9,11 and 13.