60: Difference between revisions

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The number 60 has the following factorization, with prime factors [[2]], [[3]], and [[5]]:
The number 60 has the following factorization, with prime factors [[2]], [[3]], and [[5]]:


<math>60 = 2^2 \cdot 3^2 \cdot 5^1 = 4 \cdot 3 \cdot 5</math>
<math>60 = 2^2 \cdot 3^1 \cdot 5^1 = 4 \cdot 3 \cdot 5</math>


===Properties and families===
===Properties and families===
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! Property or family !! Parameter values !! First few members of the family !! Proof of satisfaction/membership/containment  
! Property or family !! Parameter values !! First few members of the family !! Proof of satisfaction/membership/containment  
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| [[satisfies property::lcm of all numbers so far]]: lcm of the first few natural numbers || lcm of the first three natural numbers || {{#lst:lcm of all numbers so far|list}} || <math>\operatorname{lcm} \{ 1,2,3,4,5 \} = 60</math>.
| [[satisfies property::lcm of all numbers so far]]: lcm of the first few natural numbers || lcm of the first five natural numbers || {{#lst:lcm of all numbers so far|list}} || <math>\operatorname{lcm} \{ 1,2,3,4,5 \} = 60</math>.
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Latest revision as of 02:49, 21 December 2012

This article is about a particular natural number.|View all articles on particular natural numbers

Summary

Factorization

The number 60 has the following factorization, with prime factors 2, 3, and 5:

60=223151=435

Properties and families

Property or family Parameter values First few members of the family Proof of satisfaction/membership/containment
lcm of all numbers so far: lcm of the first few natural numbers lcm of the first five natural numbers 1, 1, 2, 6, 12, 60, 60, 420, [SHOW MORE] View list on OEIS lcm{1,2,3,4,5}=60.