30 and 60 have 2, 3, and 5 as factors, as do all other multiples of 30.
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The prime factors of 18 are 2, 3, and 3. The prime factors of 90 are 2, 3, 3, and 5. The prime factors they have in common are 2, 3, and 3. Since 18 is a factor of 90, its prime factors will be the prime factors that the two numbers have in common.
The squares of all prime numbers above 2 have exactly 3 factors.
2 and 3 17
The two consecutive numbers whose factors have the same sum are 8 and 9. The factors of 8 are 1, 2, 4, and 8, and their sum is 15. The factors of 9 are 1, 3, and 9, and their sum is also 15. Therefore, 8 and 9 are the consecutive numbers whose factors have the same sum.
The two numbers that multiply to 162 are 9 and 18. To find these numbers, you need to factorize 162 into its prime factors, which are 2, 3, and 3. By grouping these factors, you can see that 9 (3 x 3) and 18 (2 x 3 x 3) are the two numbers that multiply to 162.