720720 has 240 factors.
Here's how to make numbers with the most factors below any number.
I wish you have a browser or calculator for this...
Start with 2, then keep multiplying integers: 2x3 = 6
Then, think of the next number (4), then look at the right hand side, the answer. 6. If it is not coprime, multiply to your equation, the number (4)/HCF. If not, multiply to your equation, the number (4). That's how!
If you're not concerned about the factors being distinct (ie. prime factors), then the number in question will simply be the largest power of two that is less than 1000000. That would be 219, or 524288, which has 19 factors, all of them two.
If on the other hand you're looking for distinct prime factors, then you can work this out by multiplying a series of prime numbers until the next value exceeds 1000000. That would give you 2 * 3 * 5 * 7 * 11 * 13 * 17 = 510510, leaving you with 7 unique factors.
There are 12 numbers less than 150 which have an odd number of factors: 1,4,9,16,25,36,49,64,81,100,121,144.
The three greatest whole numbers less than 200 that each have an odd number of factors are 144, 169 and 196.
24. Its factors are: 1, 2, 3, 4, 6, 8, 12, and 24.
It depends: If the whole number is positive then the result is less than the whole number, eg ½ × 2 = 1 < 2 If the whole number is negative then the result is greater than the whole number, eg ½ × -2 = -1 > -2
999900 1000000-100=999900 Hope that helps!
There are 12 numbers less than 150 which have an odd number of factors: 1,4,9,16,25,36,49,64,81,100,121,144.
840
36
36
the number 90 has the most factors under 100
The three greatest whole numbers less than 200 that each have an odd number of factors are 144, 169 and 196.
360, 420 and 480 each have 24 factors.
The numbers 60, 72, 84, 90, and 96 each have 12 factors.
999983
There are four odd numbers less that 100 that have 6 factor. This does not compare with even numbers that have 12 factors!
60, 72, 84, 90 and 96 each have twelve factors.
45, 63, 75 and 99 each have six factors.