Table of Contents
- 1 What are all the prime factors of 600?
- 2 What number less than 1000 has the most prime factors?
- 3 How many numbers less than 500 are there with exactly three factors?
- 4 Which is the largest factor of 1000 less than 100?
- 5 Which number has the most prime factors between 1 and 1000?
- 6 How many prime numbers have there been in the world?
What are all the prime factors of 600?
The prime factors of 600 are 2, 3 and 5. The highest prime factor of 600 is 2. The highest prime factor of 600 is 2.
What are the total number of factors of 600?
Therefore 600 has exactly 24 factors. Factors of 600: 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600.
What number has the most prime factors?
This is the only way to increase the exponents without going over 5000, so the highest number of factors you can reach with a number that has five prime factors is 48, reached by the number 4620.
What number less than 1000 has the most prime factors?
Prime factorising 100 gives us 2\times2\times5\times5, now we can assign the smallest prime bases to the largest powers, which will give us 24$\times34\times5\times7 = 45360. Sanika and Amy both said that the number under 1000 with the most factors is 840 (32 factors).
What are the multiples of 600?
Multiples of 600: 600, 1200, 1800, 2400, 3000, 3600, 4200, 4800, 5400, 6000 and so on.
Which pair of numbers make the sum more than 600?
1,2,3,4,5,6,8,10,12,15,20,24,25,30,40,50,60,75,100,120,150,200,300,600. *** These numbers comprise only the positive whole number factors that can be multiplied to get 600.
How many numbers less than 500 are there with exactly three factors?
The numbers having exactly three factors are 4, 9, 25 and 49.
Which is the least prime number?
2
2 is the smallest prime number.
How many numbers less than 500 are there with exactly 3 factors?
Which is the largest factor of 1000 less than 100?
Factors of 1000: 1 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 125, 200, 250, 500,and 1000. Prime Factorization of 1000: 1000 = 2 × 2 × 2 × 5 × 5 × 5….Factors of 1000 in Pairs.
Pair Factorization | Factor Pair |
---|---|
4 × 250 = 1000 | (4, 250) |
5 × 200 = 1000 | (5, 200) |
8 × 125 = 1000 | (8, 125) |
10× 100 = 1000 | (10, 100) |
What is the lowest common multiple of 600?
The sum of the first 5 multiples of 600 is 9000 and the average of the first 5 multiples of 600 is 1800.
- Multiples of 600: 600, 1200, 1800, 2400, 3000, 3600, 4200, 4800, 5400, 6000 and so on.
- Least Common Multiple (LCM) of 600 and 4800: 4800.
- Average of first 5 Multiples of 600: 1800.
What are the factors of 600 in pairs?
For 600, all of the possible factor pairs are listed below:
- 1 x 600 = 600.
- 2 x 300 = 600.
- 3 x 200 = 600.
- 4 x 150 = 600.
- 5 x 120 = 600.
- 6 x 100 = 600.
- 8 x 75 = 600.
- 10 x 60 = 600.
Which number has the most prime factors between 1 and 1000?
Take 512 for example: 512 = 2 9. 512, out of all then numbers between 1 and 1000, has the most (9 total) numbers in its prime factorization. However, since the only numbers in the prime factorization in 2, it only has 11 factors, including 1 and itself. Now, take 2 ∗ 3 ∗ 5 ∗ 7 ∗ 11.
What is a prime number with no divisors?
A prime number is a natural number greater than 1 that has no positive integer divisors other than 1 and itself. For example, 5 is a prime number because it has no positive divisors other than 1 and 5.
What is a prime number?
A prime number is any integer, or whole number, greater than 1 that is only divisible by 1 and itself. In other words, a prime number only has two factors, 1 and itself. Is 2 a prime number? Yes, 2 is a prime number because it only has two factors, 1 and 2. Is 17 a prime number? Yes, 17 is a prime number because it only has two factors, 1 and 17.
How many prime numbers have there been in the world?
The first 1000 prime numbers 1 2 3 11 81–100 419 421 431 467 101–120 547 557 563 607 121–140 661 673 677 739 141–160 811 821 823 877