Many a time in problem solving we need to find the factors of a number this post covers an important point with regards to finding the number of factors of a number. The number of factors is also an important requirement for finding HCF and LCM. You can refer to this post for HCF and LCM.

Tricks and ways to solve HCF and LCM Problem

First reduce the integers to the mutiples of prime number very easily, if it is ever first try by 2, 4 or 8. (To learn how to divide easily by 2,3,4,6,7,8, and 9 refer to ealier post :

easy-rules-for-divisibility-by-4-or-8 or

easy-rules-for-divisibility-3-6-9 or

easy-rules-for-divisibility-by-7 or

easy-multiplication-trick-for-number-11

Once done that you can reduce the number to the format like N = a^{x} * b^{y} * c^{z} please note the

Number of factors = (x +1)(y+1)(z+1) these factors include the number itself and 1

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