What are the smallest positive integer?

0
0 is the smallest positive integer.

What is the smallest multiple of 10?

The smallest multiple of 10 is 1 multiplied by 10, i.e., 10. The other consecutive multiples of 10 can be found by multiplying 10 by 2, 3, 4, and 5, respectively. So, the first five multiples of 10 are: {10,20,30,40,50}. Now we will find the factors of multiples of 20.

What is the smallest number with 11 factors?

Have I found all the numbers less than 50,000 with exactly 11…

• c1p1∗c2p2∗c3p3∗…
• where: ci is an integer and pi is prime.
• Therefore the smallest such number is: 1∗210=1024.
• The next such number would be: 211=2048.

What are smallest integers?

The smallest integer is zero.

What is the smallest positive integer that has exactly nine factors?

So if a number has 9 distinct factors, then it is either in the form or . The smallest number is 256, with factors 1, 2, 4, 8, 16, 32, 64, 128, 256. The smallest is 36 with factors 1, 2, 3, 4, 6, 9, 12, 18, 36. So the answer is 36.

What is the smallest positive integer with exactly 18 factors?

So, the minimum natural number with 18 divisors is 180. So clearly the smallest one is 180.

How to find the number of factors of a positive integer?

There is a formula that gives you the number of factors of a positive integer > 1 from its prime factorization. If you aren’t familiar with the formula, you can always try the perfect squares 2 2, 3 2, …, until you come to the right one. It will be 8 2 = 64.

What is the smallest number that is equal to 7 factors?

The smallest such number is n = 2 6 = 64. Factors of a number = 1 × a n × b k.. ( a, b, n, k) ∈ N. taking g g c d ( a, b) = 1. Now if 7 factors and smallest number we can say that 1 × a × b × c factors are 1, a, b, c, a b, b c, c a, a b c.

What are the factors of a negative number?

Factors of Negative Numbers. All of the above information and methods generally apply to factoring negative numbers. Just be sure to follow the rules of multiplying and dividing negative numbers to find all factors of negative numbers. For example, the factors of -6 are (1, -6), (-1, 6), (2, -3), (-2, 3).

What is the smallest sixth power of a prime number?

Finally, as raising a number to the sixth power is a strictly increasing function, we conclude that the smallest sixth power of a prime must be the smallest prime to the sixth power. The solution is then [math]2^6=64 [/math].