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# What number up to 50 has the most factors and why?

Updated: 9/19/2023 Wiki User

11y ago

Of the numbers up to 50, 48 has the most factors because none of the others have more. Wiki User

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11y ago

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Q: What number up to 50 has the most factors and why?
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### What whole number up to 50 has the most factors?

Of the numbers up to 50, 48 has the most factors.

### What are the factors up to 50?

Every number up to 50 is a factor - of itself.

### What number up to 50 has the most factors and what are they?

48: 1, 2, 3, 4, 6, 8, 12, 16, 24, 48

### How do you know 48 and 32 and 50 are the numbers with the most factors up to 50?

You cannot know it because it is not true. 24, for example, has more factors than 50.

### What is a composite number between 31 and 50 with an even number of factors and has a sum of 16?

39 is a composite number whose proper factors add up to 16.

### What number up to 50 has the most factors explain how you know?

As 2 is the smallest prime number the number less than 50 that has the most factors can't have more than 5 factors cause 2^5=32 and 2^6=64. So we're searching for a number with at most 5 factors As sqrt(50) = 7.07..., the biggest factor can't be more than 7 The problem is then find pi (prime numbers) such that p1p2p3p4p5&lt;50 and pi are not necessary different and pi &lt;=7 We already know that 25 will do 24x3 will also do 24x5 won't 24x7 won't 23x32 &gt; 50 22x33 &gt; 50 2x34 &gt; 50 35 &gt; 50 34 &gt; 50 following the same calculations with powers of 5 or 7 shows that there are no more solution The solutions are 25 and 24x3

### What is a number between 44 and 53 the sum equals a prime number and has more than three factors?

The answer is 50 because its factors are 1,2,5,10,25,50. When you add up the sum of 50 you get 5 which is a prime number. Also it is between 44 and 53. :)

180

### Is 2500 a square number?

To find out if a number is a square number, find its prime factors and check if all prime factors duplicate. In this example, the prime factors are: 2,2,5,5,5,5 We can see that all numbers are duplicates, and can be paired up. So 2500 is a square number of 2x5x5 or 50.

51

### What is the next number after 50 with proper factors that add up to one less than itself?

If you include 1 as a proper factor, the answer is 64.

### What is the smallest integer k such that 540k is a cube number?

You can factor 540 into prime factors. Then, for each prime factor that doesn't appear 3, 6, 9, ... times, add additional factors to complete a multiple of 3. These factors will make up the number "k".