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 $$\displaystyle (n_1+1)\cdot(n_2+1)\cdot(n_3+1)\cdots(n_k+1)$$