Prime Factorization

Number Theory Level 2

Is 943 prime ? \large \text{Is 943 prime} \, ?

Yes No

Nurul Ikram by Nurul Ikram , 30, Bangladesh

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3 solutions

23 ⋅ 4 = 92 ⇒ 23 ⋅ 40 = 920 ⇒ 943 = 920 + 23 = 23 ⋅ 40 + 23 = 23 ⋅ ( 40 + 1 ) = 23 ⋅ 41 23 \cdot 4 = 92 \Rightarrow 23 \cdot 40 = 920 \Rightarrow 943 = 920 + 23 = 23 \cdot 40 + 23 = 23 \cdot (40 +1 ) = 23 \cdot 41

3 Helpful 0 Interesting 0 Brilliant 1 Confused
Nurul Ikram
Feb 20, 2016

You have to find the number which is a perfect square around the desired one that should have been put in the following simplest law we found to be apply in very young age:- a^2-b^2= (a+b) (a-b).

In case of this problem,

943= (32)^2-(9)^2=(32+9) (32-9)=41 * 23

So, obviously not.

1 Helpful 1 Interesting 1 Brilliant 0 Confused

Well this is the only systematic way of doing these problems. Other methods more or less involve hit and trial.

Ravi Maurya - 10 months, 1 week ago
Colin Carmody
Feb 19, 2016

It is divisible by 23 and 41.

2 Helpful 0 Interesting 0 Brilliant 0 Confused

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