# whole numbers dividing 60

#### sufinaz

##### New member
how many whole positive numbers you can think of divides 60, answers whole number again?

#### MarkFL

##### Super Moderator
Staff member
Can you list all the factor pairs?

#### pka

##### Elite Member
$$\displaystyle 60=2^2\cdot 3\cdot 5$$.

#### sufinaz

##### New member
1,2,3,5,4,6,10,15,,20,30,60 that's all I guess but there is 12 number, is that what it's asking?

#### Subhotosh Khan

##### Super Moderator
Staff member
1,2,3,5,4,6,10,15,,20,30,60 that's all I guess but there is 12 number, is that what it's asking?
You missed 12

Staff member

oh dear, thanks

#### pka

##### Elite Member
Write the number in factored form, like $$\displaystyle N=(p_1)^{n_1}\cdot(p_2)^{n_2}\cdot(p_3)^{n_3}\cdots(p_k)^{n_k}$$ where each $$\displaystyle p_j$$ is a prime factor and each $$\displaystyle n_j\in\mathbb{Z}^+~\&~n_j\ge 1$$
then the number of divisors of $$\displaystyle N$$ is $$\displaystyle (n_1+1)\cdot(n_2+1)\cdot(n_3+1)\cdots(n_k+1)$$