Milo is talking to his sister lisa about factors. he said he thinks that any even number always has more factors than any odd number. lisa said she doesn't agree with him. explain who you agree with and why

I agree with Lisa

Step-by-step explanation:

* Lets explain the meaning of the factors of a number

- Factors are the numbers you multiply to get another number

- Ex: factors of 12 are 1 , 2 , 3 , 4 , 6 , 12 because

 1 × 12 = 12 , 2 × 6 = 12 , 3 × 4 = 12

- 1 is a factor every number

- The number is a factor of itself

* Lets solve the problem

- Milo said he thinks that any even number always has more

 factors than any odd number

- Lisa said she doesn't agree with him

* Lets take some examples for even and odd number to prove who

 is right

- We will chose numbers between 1 and 22

# Even numbers: 2 , 4 , 14 , 18

# Odd numbers: 3 , 9 , 15 , 21

∵ The factors of 2 are 1 , 2

∴ 2 has 2 factors

∵ The factors of 4 are 1 , 2 , 4

∴ 4 has 3 factors

∵ The factors of 14 are 1 , 2 , 7 , 14

∴ 14 has 4 factors

∵ The factors of 18 are 1 , 2 , 3 , 6 , 9 , 18

∴ 18 has 6 factors

∵ The factors of 3 are 1 and 3

∴ 3 has 2 factors

∵ The factors of 9 are 1 , 3 , 9

∴ 9 has 3 factors

∵ The factors of 15 are 1 , 3 , 5 , 15

∴ 15 has 4 factors

∵ The factors of 21 are 1 , 3 , 7 , 21

∴ 21 has 4 factors

∵ The number of the factors of the even numbers are 2 , 3 , 4 , 6

∵ The number of the factors of the odd numbers are 2 , 3 , 4

∴ The Factors of even numbers and odd numbers are equal

  like 2 and 3 , 4 and 9 , 14 and 15

 OR

  The factors of even number greater than the factors of the odd

  number like 18 the number of the factors of 18 is greater than the

  number of the factors of all odd numbers above

∴ Not always that any even number has more factors than any odd

  number

∴ I agree with Lisa