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Find the sum of the distinct prime factors of 781 + 691 + 3858.

 Jun 14, 2024
 #1
avatar+1075 
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Let's first add up all 3 of the numbers. We get

\(781 + 691 + 3858=5330\)

 

Now, we have to find the prime factors of 5330. Notice that 5330 is divisble by 10. This means that 2 and 5 are factors. 

\(5330/10=533\)

 

533 has 2 factors other than 1 and itself. The two are \(13, 41\)

 

This means that 5330 has 4 prime factors.

\(2, 5, 13, 41\)

 

Adding these up, we get

\(2+5+13+41=61\)

 

So 61 is our answer. 

 

Thanks! :)

 Jun 14, 2024

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