Question

Identify two numbers less than 20 with the most factors

Answer 1

18 and 12 are two numbers less than 20 with the most factors.

Explanation:

we have to identify two numbers less than 20 with the most factors.

Factors are smallest prime numbers that are multiplied together to produce another number or we can say the numbers that divides other number leaves 0 remainder.

Upto 20 the numbers 2, 3, 5, 7, 11, 13, 17, 19 these are prime numbers

we are going to try the composite numbers.

18 ⇒ 1, 2, 3, 6, 9, 18

16 ⇒ 1, 2, 4, 8, 16

15 ⇒ 1, 3, 5, 15

14 ⇒ 1, 2, 7, 14

12 ⇒ 1, 2, 3, 4, 6, 12

10 ⇒ 1, 2, 5, 10

9 ⇒ 1, 3, 9

8 ⇒ 1, 2, 4, 8

6 ⇒ 1, 2, 3, 6

4 ⇒ 1, 2, 4

2 ⇒ 1, 2

The numbers less than 10 has factors less than 5.

It can be seen from above that 18 and 12 have the most factors.

Hence, 18 and 12 are two numbers less than 20 with the most factors.

Answer 2

18 and 12

Explanation

Factor is a number or algebraic expression that divides another number or expression evenly that is with no remainder.

Odd number have few factors so the can't be the answer.

WE are going to try the even numbers.

18 ⇒ 18, 9, 6, 3, 2, 1

16 ⇒ 16, 8, 4, 2, 1

12 ⇒ 12, 6, 4, 3, 2, 1

10 ⇒ 10, 5, 2, 1

Other number less than 10 has factors less than 5.

It can be seen from above that 18 and 12 have the most factors.