SOLUTION: What is the largest prime factor of 1 + 2 + 3 + 4 + 5 + ... + 60?

Question 336088: What is the largest prime factor of 1 + 2 + 3 + 4 + 5 + ... + 60?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
What is the largest prime factor of 1 + 2 + 3 + 4 + 5 + ... + 60?
--------
Use S(n)=(n/2)(1st + last) to get the sum.
---
S(60) = (60/2)(1+60) = 30*61 = 1830
----------
Now find the largest prime factor in 1830
Divide by 2 till you can't.
Then divide by 3 till you can't.
Then by 5
Then by 7
etc.
---
I get an answer of 61
==========================
Cheers,
Stan H.
RELATED QUESTIONS
What is the largest prime factor of 2013? (with... (answered by josgarithmetic,stanbon)

What is the largest prime factor of ( 30^2 - 7^2 )... (answered by Alan3354)

Read and answer each question. 1. What is the product of 5 and the sum of all the prime (answered by Alan3354)

1. what is the number 10 less than the product of our largest two different digits?... (answered by edjones)

what is the prime factor of... (answered by sofiyac)

1. What is the prime factorization of 598? 2. Choose the correct statement? 12 is a... (answered by longjonsilver)

What is the sum of the 4 largest two-digit prime... (answered by ikleyn)

What is the largest known prime... (answered by stanbon)

Build a factor tree to get the prime factorization of each number. 1. 280 2. 145 3.... (answered by tommyt3rd)