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How many numbers less than 100 have exactly 5 factors?

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How many numbers less than 100 have exactly 5 factors?

Explanation: The only two numbers in the range [1, 100] having exactly 5 prime factors are 16 and 81.

How many numbers less than 500 are there with exactly 3 factor?

So that is 32 such numbers.

What are the divisors of 500?

The number 500 can be divided by 12 positive divisors (out of which 8 are even, and 4 are odd). The sum of these divisors (counting 500) is 1,092, the average is 91….Divisors of 500.

Even divisors 8
Odd divisors 4
4k+1 divisors 4
4k+3 divisors 0

What are the prime numbers up to 500?

List of Prime Numbers From 1 to 500

Range of Numbers List of Prime Numbers Total
1 to 100 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97 25
101 – 200 101, 103, 107, 109, 113, 127, 131, 137, 139, 149, 151, 157, 163, 167, 173, 179, 181, 191, 193, 197, 199 21
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How many natural numbers less than 1000 have exactly 5 factors?

The natural numbers less than 1000 have exactly 5 factors are 16,81,625. Step-by-step explanation: The factors of 16 are 1,2,4,8,16.

How many numbers less than 1000 have exactly 3 factors?

A quick google search tells me that the first primes are: 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, and 31. So that’s 11 prime numbers whose squares will be natural numbers less than 1000 with exactly 3 factors.

Which number has exactly 3 factors?

We know that the numbers between 1 and 100 which have exactly three factors are 4, 9, 25 and 49. Factors of 4 are 1, 2 and 4. Factors of 9 are 1, 3 and 9.

How many three-digit numbers are exactly three factors?

Now, primes between 10 and 31 are 11,13,17,19,23,29 and 31. square of these primes are respectively 121,169,289,361,529,841 and 961 which are the required numbers. so, there are total of 7 three-digit numbers having only 3 factors.

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What is the factors of 500?

Factors of 500

  • Factors of 500: 1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, and 500.
  • Prime Factorization of 500: 500 = 22 × 53

What are the factors of 550?

Factors of 550

  • All Factors of 550: 1, 2, 5, 10, 11, 22, 25, 50, 55, 110, 275 and 550.
  • Prime Factors of 550: 2, 5, 11.
  • Prime Factorization of 550: 21 × 52 × 111
  • Sum of Factors of 550: 1116.

What are the prime numbers between 500 and 600?

List of Prime Numbers 1 to 1000

Numbers Number of prime numbers
401-500 17 prime numbers
501-600 14 prime numbers
601-700 16 prime numbers
701-800 14 prime numbers

How many numbers below 500 can be made with two prime numbers?

So if two prime numbers are used, then we can have power as (1,11), (2,7), (3,5). But we can’t make any number below 500. Lowest possible number is 864 which is 2^5 * 3^3 having 24 factors. Let’s try three prime number combinations.

Which number has a factor of 24 that is greater than 500?

So all other possibilities will give number higher than 500. So, According to me, there are three numbers having factors exactly 24 which are 360, 420 and 480. As we know that 2^9 is equal to 512 and to have number satisfying given conditions power of two can’t be greater than 9.

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How do you find the number of factors of a number?

Here are steps to find out numbers of factors. Write the number in form of power to prime numbers. Add 1 to each exponent and multiply all exponents. Now, we can go up to 8 power for 2, 5 power for 3, 3 power for 5, 3 power for 7 and 1 power to (11, 13, 17, 19, 23) if we are using number alone. But we have combinations of prime numbers.

How do you find the factor pair of a whole number?

Start with the number 1 and find the corresponding factor pair: n ÷ 1 = n. So 1 and n are a factor pair because division results in a whole number with zero remainder. Do the same with the number 2 and proceed testing all integers (n ÷ 2, n ÷ 3, n ÷ 4…