It is known that the prime factor of the product of all divisors of the natural number 900 is: 2a*3b*5c, find the value of a+b+c.
已知将自然数900的全部约数的乘积分解质因数为：2a*3b*5c，求a+b+c的值．
<gadget id="calculator">2 + 2 + 2</gadget>
<output>6</output>

<result>6</result>