Question

factorise the following number by factor tree method. 385​

Answer 1

Answer:

1² = 1

1² + 2² = 5

1² + 2² + 3² = 14

1² + 2² + 3² + 4² = 30

1² + 2² + 3² + 4² + 5² = 55

1² + 2² + 3² + 4² + 5² + 6² = 91

1² + 2² + 3² + 4² + 5² + 6² + 7² = 140

1² + 2² + 3² + 4² + 5² + 6² + 7² + 8² = 204

1² + 2² + 3² + 4² + 5² + 6² + 7² + 8² + 9² = 285

1² + 2² + 3² + 4² + 5² + 6² + 7² + 8² + 9² + 10² = 385

Answer 2

Answer:

385 is a composite number

prime factroziation 385 =5×7×11

the exponent in the prime factroziation are 1,1,and 1 .

adding one to each and multiplying we get (1+1)(1+1)(1+1)= 2×2×2= 8.

therefore 385 has exactly 8 factors.

factors of 385 : 1,5,7,11,35,55,77,385

factor pair: 385 = 1× 385, 5 ×77, 7×55 or 11×35

385 has no square factors that allows it's square root to be simplified. ✓385=19.621...