Question

Afla nr divizorilor nat ai nr a)3*2 x 5*4 B) 10*3x4*6x7*4 c) 644000 d) 1245000

Answer 1

a)
3^2 × 5^4

(2 + 1) × (4 + 1) = 3 × 5 = 15 divizori
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b) 10^3 × 4^6 × 7^4 =

2^3 × 5^3 × 2^12 × 7^4 =

2^15 × 5^3 × 7^4

( 15 + 1) × ( 3 + 1) × ( 4 + 1) =

16 × 4 × 5 = 320 divizori
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c) 644 000 = 2^5 × 5^3 × 7 × 23

(5 + 1) × ( 3 + 1) × ( 1 + 1 ) × ( 1 + 1) =

6 × 4 × 2 × 2 = 96 divizori
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d) 1 245 000 = 2^3 × 3 × 5^4 × 83

( 3 + 1) × ( 1 + 1) × ( 4 + 1 ) × ( 1 + 1) =

4 × 2 × 5 × 2 = 80 divizori
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