**In how many ways can 1500 be resolved into two factors?**

(a)12

(b)18

(c)20

(d)10

**Answer: **12

**Explanation:**

1500=2*750

=2*2*3*5*5*5=2^{2}5^{3}3^{1}

Number of factors

=(2+1)(3+1)(1+1)

=3*4*2=24

Required number of ways=16/2=8

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