Math, asked by Cma123, 1 month ago

In which of the following, correct prime factorisation has been done ?
45 = 5 x 5 x 3

60 = 2 x 2 x 3 x 5

80 = 2 x 2 x 4 x 5

56 = 2 x 2 x 2 x 2 x 3

Answers

Answered by IIMrVelvetII
2

SOLUTION :-

1} 45 = 5 × 5 × 3

Prime factorization of 45,

5|45 \\ 3|9 \\ 3|3 \\  \: \: |1

Correct Prime Factorization of 45 is 5 × 3 × 3 = 5 × 3²

Therefore, the given factorization is false.

2} 60 = 2 × 2 × 3 × 5 = 2² × 3 × 5

Prime factorization of 60,

2|60 \\ 2|30 \\ 3|15 \\ 5|5 \\  \:  \: |1

The given factorization is correct.

Therefore, the given factorization is true.

3} 80 = 2 × 2 × 4 × 5 = 2 × 2 × 2 × 2 × 5 = 2 × 5

Prime factorization of 80,

2|80 \\ 2|40 \\ 2|20 \\ 2|10 \\ 5|5 \\  \:  \: |1

The given factorization is correct.

Therefore, the given factorization is true.

4} 56 = 2 × 2 ×2 × 2 × 3 = 2 × 3

Prime factorization of 56,

2|56 \\ 2|28 \\ 2|14 \\ 7|7 \\  \:  \: |1

Correct Prime Factorization of 56 is 2 × 2 × 2 × 7 = 2³ × 7

Therefore, the given factorization is false.

Prime factorization of 60 and 80 are correct.

Similar questions