Sanika and Amy both said that the number under 1000 with the most factors is 840 (32 factors).
What small number has the most factors?
if you take more factors the smallest number you can get is 2*3*5*7*11*13 = 30030, which is more than 5000. factors.
Which number between 1 and 1000 has maximum number of factor?
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 .
What are the possible factors of 1000?
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.
What is the greatest number you can divide into 17 and 12?
The biggest common factor number is the GCF number. So the greatest common factor 12 and 17 is 1.
What is the biggest prime number known to date?
The largest known prime number (as of December 2020) is 282,589,933 − 1, a number which has 24,862,048 digits when written in base 10. It was found via a computer volunteered by Patrick Laroche of the Great Internet Mersenne Prime Search (GIMPS) in 2018.
What kind of number will have 15 factors?
In this case, 15 is a composite number because it can be divided by 1, 3, 5, and itself. Hence, 1, 3, 5 are the factors of 15.
Is 1 a prime factor?
The number 1 is called a unit. It has no prime factors and is neither prime nor composite.
What are the factors of 1500?
Factors of 1500
- All Factors of 1500: 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 125, 150, 250, 300, 375, 500, 750 and 1500.
- Prime Factors of 1500: 2, 3, 5.
- Prime Factorization of 1500: 22 × 31 × 53
- Sum of Factors of 1500: 4368.
Which is number between 1 and 1000 has the most factors?
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. That product is 2310, which is above 1000.
How are factors of 1000 converted to whole numbers?
Only whole numbers and intergers can be converted to factors. Factors of 1000 that add up to 2340 =1 + 2 + 4 + 5 + 8 + 10 + 20 + 25 + 40 + 50 + 100 + 125 + 200 + 250 + 500 + 1000
Which is the smallest number with exactly 100 factors?
Sanika found the smallest number with exactly 100 factors: Prime factorising 100 gives us 2 2 5 5, now we can assign the smallest prime bases to the largest powers, which will give us 2 4 $times3 4 5 7 = 45360. Sanika and Amy both said that the number under 1000 with the most factors is 840 (32 factors). This is Amy’s work:
Are there any negative factors in the number 1000?
Factors of -1000 = -1, -2, -4, -5, -8, -10, -20, -25, -40, -50, -100, -125, -200, -250, -500, -1000, Negative factors are just factors with negative sign. The factors are numbers that can divide 1000 without remainder. Every number is divisible by itself and 1.
