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Generally yes, but not in all cases. The largest Prime number has over 22 million digits but only two factors whereas 60 has six times as many factors.

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Q: Do larger numbers have more factors than smaller numbers?

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Usually, but not necessarily and not if they're prime. All prime numbers have the same number of factors.

smaller no.14 larger 37

The most common factor is 1 and then 2 and then 3. It is common because it is a smaller number. The smaller numbers will occur more often than larger numbers when finding factors.

The larger of two numbers is 8 more than 4 times the smaller if the larger number is increased by four times the smaller the result is 40. From this statement, we can calculate the values of the numbers where you get the value of the larger number to be 24 and that of the smaller number to be 4.

There are more composite numbers. The larger a number gets, the more likely it is to have multiple factors.

192, although there are smaller numbers with more.

Usually, but not necessarily and not if they're prime. All prime numbers have the same number of factors.

13 and 6

the numbers are larger, but could mean less or more: 1/20000000 is small and 20000000/1 is large

Not necessarily. 73 has far fewer prime factors than 72.

This is not an easy question to answer, but you are correct that primes become less dense as you look at larger numbers.One way I intuitively think of this is, take a number like 10, and compare it to one like500000000, the smaller number certainly has fewer potential factors than the larger one.In other words, as the numbers get larger, many of them will have many more possible factors.Some will still have only 1 and themselves, or perhaps 3 or 4 factors, but in general, there are more factors. This is NOT a mathematical argument, just a way to think about the idea.

37 and 40

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