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What number has exactly 3 factors?

Posted on September 23, 2022 by Author

Table of Contents

  • 1 What number has exactly 3 factors?
  • 2 How many 3 digit numbers are there exactly?
  • 3 What is the largest 3 digit number to have an odd number of factors?
  • 4 How many two digit natural numbers have at most three factors?

What number has exactly 3 factors?

In the numbers from 1 to 100, there are 4 numbers that have exactly 3 factors. The numbers are 4, 9, 25, and 49. As someone else pointed out, these are squares of primes, which makes sense. If a number is any other kind of composite number, it would have at least two factors in addition to 1 and itself.

What is the largest 3 digit number having exactly three factors?

They are 121, 169, 289, 529 and 841. , Like doing Math. Thus, total 7 three digit numbers with total factor 3. A number has exactly three factors if it is the square of a prime number.

How many 3 digit numbers are there exactly?

In the tens place and the one’s place, there can be any digit from 0-9. There is a possibility of 10 digits in the hundredth place and 10 digits in the unit’s place. Thus, there are 9 × 10 × 10 = 900 three-digit numbers in all. Therefore there are 900 three-digit numbers in all.

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How many two digit numbers exist that has exactly 3 factors?

25 and 49 are the only two digit numbers which will have exactly three factors. This is because a number will have three factor if and only if the number is a square of a prime number. So 25 and 49 are the only two digit numbers with exactly three factors.

What is the largest 3 digit number to have an odd number of factors?

100 to 999 are 3 digit numbers. Then 32² = 1024 > 999. Hence Square of numbers from 10 to 31 are three-digit numbers, which have odd number of factors. Hence there are 22 Such numbers.

How many factors does 5600 have?

36 factors
Factors of 5600 are the list of integers that can be evenly divided into 5600. There are 36 factors of 5600, of which the following are its prime factors 2, 5, 7. The Prime Factorization of 5600 is 25 × 52 × 71.

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How many two digit natural numbers have at most three factors?

There are only 2 two-digit numbers which can be written this way: 2^4 = 16 and 3^4 = 81.

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