Question

Explain why 5x4x3x2x1 + 5x4 is a composite number​

Answer 1

Answer:

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Step-by-step explanation:

you can do the arithmetic and look at the result...

5x4x3x2x1+3=120+3=123

123 is divisible by 1, 123, and also by 3 because 1+2+3=6 and 6 is divisible by 3 (rule for divisibility by 3)

also, if 123 is divisible by 3, then 123/3=41

the factors of 123 are 1, 3, 41, and 123, therefore 123 is composite because it has more than 2 different whole number factors

another way to look at this...

5x4x3x2x1+3=3x(5x4x2x1)+3=3x40+3x1

now factor out the 3

3x(40+1)=3x41

therefore the expression written is divisible by 1 (trivial case), divisible by 3, divisible by 41, and divisible by its value which is 123 (trivial case again) (a whole number is divisible by 1 and divisible by itself, so if there are more factors, the number is a composite number)

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