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Q.

The numbers of factors of 18 is 

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a

3

b

6

c

9

d

12

answer is B.

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Detailed Solution

A number x is considered a factor of another number y if y can be divided exactly by x, leaving no remainder. For instance, to find the factors of 18, we determine all numbers that divide 18 without leaving any remainder.

Steps to Find the Factors of 18

Let's calculate the factors of 18 by identifying all possible pairs of numbers that multiply to 18:

  • 18 = 1 × 18
  • 18 = 2 × 9
  • 18 = 3 × 6

From these calculations, we can list the unique factors of 18: 1, 2, 3, 6, 9, and 18.

Total Number of Factors

After identifying all the factors of 18, we find that there are six distinct factors: 1, 2, 3, 6, 9, and 18.

Conclusion

Thus, the number of factors of 18 is 6.

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