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Q: What numbers are less than 20 with the most factors?

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12 and 18

48

There are four odd numbers less that 100 that have 6 factor. This does not compare with even numbers that have 12 factors!

There are 10 numbers less than 101 which have an odd number of factors: 1,4,9,16,25,36,49,64,81,100.

The most factors any odd number less than 100 has is 6. There are 4 numbers which have 6 factors:45, 63, 75 & 99.

The numbers 60, 72, 84, 90, and 96 each have 12 factors.

60, 72, 84, 90 and 96 each have twelve factors.

There are a few numbers that are less than 19 and have more than 4 factors. The number 10 is less than 19 and has more than four factors.

The numbers 60, 72, 84, 90, and 96 each have 12 factors.

If the two numbers have no prime factors in common, their LCM will be their product. If there are prime factors in common, their LCM will be less than their product.

They all are prime numbers except 1

If the two numbers have no common factors other than 1, the LCM will be their product. If there are other common factors, the LCM will be less.

Prime numbers

The numbers 60, 72, 84, 90, and 96 each have 12 factors.

Four numbers less than thirty, 12, 18, 20, and 28, each have exactly 6 factors.

The numbers for which the sum of its proper factors is 1 less than the number is the powers of 2; less than 50 these are: 2, 4, 8, 16 & 32.

210 has 4, which is the maximum possible. There are other numbers with 4 different prime factors.

Nine numbers.

All of the numbers less than six can be factors, and all integers have a least one factor that is less than six. Here's a set of factors less than 6: (1, 2, 3, 4, 5)

All prime numbers less than 50 have exactly two factors. e.g. 2,3,5,7,11,13,17,19,23,29,31,37,41,43 & 47.

12 and 18 1,2,3,4,6,12 1,2,3,6,9

The ones with less than three factors.

There are 31 numbers less than 1,000 which have an odd number of factors. They are: 1,4,9,16,25,36,49,64,81,100,121,144,169,196,225,256,289,324,361,400,441,484,529,576,625,676,729,784,841,900,961.

They are: 41, 43 and 47 that have only 2 factors because they are all prime numbers

There are 12 numbers less than 150 which have an odd number of factors: 1,4,9,16,25,36,49,64,81,100,121,144.

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