What are the factors and prime factors of 14 29 30 54 55 84 and 85?

Answer 1

The factors of 14 are: 1, 2, 7, and 14.
The prime factors of 14 are: 2 and 7.

29 is a Prime number. It is only evenly divisible by itself and one.

The factors of 30 are: 1, 2, 3, 5, 6, 10, 15, and 30.
The prime factors of 30 are: 2, 3, and 5.

The factors of 54 are: 1, 2, 3, 6, 9, 18, 27, and 54.
The prime factors of 54 are: 2 and 3.

The factors of 55 are: 1, 5, 11, and 55.
The prime factors of 55 are: 5 and 11.

The factors of 84 are: 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, and 84.
The prime factors of 84 are: 2, 3, and 7.

The factors of 85 are: 1, 5, 17, and 85.
The prime factors of 85 are: 5 and 17.

Answer 2

To find prime factors, one must successively try to divide each prime number evenly (no remainder) into the target number until one is unable to divide any further.

Using 21 as the example:

21 / 2 has a remainder

21 / 3 is 7

3 and 7 are both prime numbers, so the prime factors of 21 are 3 and 7

All factors of 21 are 1, 3, 7 and 21

Working with 24 as a further example:

24 / 2 is 12

12 / 2 is 6

6 / 2 is 3

2 and 3 are both prime numbers, so the prime factors of 24 are 2 and 3

All factors of 24 are 1, 2, 3, 4, 6, 8, 12 and 24.

For the remaining values:

45: 3 and 5; 1, 3, 5, 9, 15, 45

30: 2, 3 and 5; 1, 2, 3, 5, 6, 10, 15, 30

42: 2, 3 and 7; 1, 2, 3, 6, 7, 14, 21, 42

60: 2, 3 and 5; 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60

84: 2, 3 and 7; 1, 2, 3, 4, 6, 7, 12, 21, 28, 42, 84

Answer 3

3