# In how many possible ways can you write 1800 as a product of 3 positive integers a, b, c ?

In how many possible ways can you write 1800 as a product of 3 positive integers a, b, c ?

A. 350

B. 360

C. 380

D. 480

### **Answer : ** B. 360

## Explanation:

1800 = 2^{3} * 3^{2} * 5^{2} then

^{5}C_{2} * ^{4}C_{2} * ^{4}C_{2} = 360