2310 is the lowest number below 10000 with the most distinct prime factors, 9240 the highest, but there are many. Edit: I was kindly corrected in the comments that 2¹³ = 8192 is the number with the most prime factors less than 10000 because it has 13 times 2 as a factor.
What are the common factors of 10000?
Factors of 10000 are 1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 125, 200, 250, 400, 500, 625, 1000, 1250, 2000, 2500, 5000. There are 24 integers that are factors of 10000. The biggest factor of 10000 is 5000.
What are the factors of the number 10000?
Factors of -10000 = -1, -2, -4, -5, -8, -10, -16, -20, -25, -40, -50, -80, -100, -125, -200, -250, -400, -500, -625, -1000, -1250, -2000, -2500, -5000, -10000, Negative factors are just factors with negative sign. The factors are numbers that can divide 10000 without remainder. Every number is divisible by itself and 1.
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 to calculate the factor pairs of 10000?
Only whole numbers and intergers can be converted to factors. Factors of 10000 that add up to 24211 =1 + 2 + 4 + 5 + 8 + 10 + 16 + 20 + 25 + 40 + 50 + 80 + 100 + 125 + 200 + 250 + 400 + 500 + 625 + 1000 + 1250 + 2000 + 2500 + 5000 + 10000
Are there any numbers under 100 that have exactly three factors?
The middle number of each factor list is used twice because that factor is squared, but since the factor is the same number, it is not counted twice. Squares of prime numbers are the only numbers that have exactly three factors. The other numbers under 100 with odd numbers of factors are one, 16, 36 and 81.
