999 is divisible by 99. The prime factorization of 999 is 3³ x 37 while 99 is 3² × 11. Since 99’s factors are included in 999’s, it confirms divisibility.
Class 6 Mathematics Ganita Prakash Prime Time
Class 6 Mathematics Chapter 5 Prime Time question answer
The prime factorization of 999 is 3³ x 37, and that of 99 is 3² × 11. For divisibility, the prime factors of 99 must appear in 999’s factorization. Here, 3² is present in 3³ and 11 divides evenly into 999. Performing the division confirms this: 999÷99=10. Thus, all factors of 99 are found in 999’s factorization, verifying divisibility.
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