24=2*2*2*3 has 8 factors: 1, 2, 3, 4, 6, 8, 12, 24. 24 is the smallest number with 8 factors, as simple verification for numbers below 24 show 24 is first one with this property.
What are positive factors of 10?
The factors of 10 are 1, 2, 5, and 10. You can also look at this the other way around: if you can multiply two whole numbers to create a third number, those two numbers are factors of the third. 2 x 5 = 10, so 2 and 5 are factors of 10.
What are the factors of 20 and 8?
GCF of 8 and 20 is the largest possible number that divides 8 and 20 exactly without any remainder. The factors of 8 and 20 are 1, 2, 4, 8 and 1, 2, 4, 5, 10, 20 respectively. There are 3 commonly used methods to find the GCF of 8 and 20 – long division, Euclidean algorithm, and prime factorization.
Which is the largest number with 9 factors?
As the number of factors is odd, I reckon it’s a square number – because factors usually come in pairs. So, working downwards as you want the largest number: 81. Factors are 1, 81, 3, 27, and 9. So only 5 factors. 64. 1, 64, 2, 32, 4, 16, 8. So only 7 factors.
How many factors of a number are there?
Factors of Numbers Factors of 36 Factors of 24 Factors of 12 Factors of 48 Factors of 72 Factors of 120 Factors of 18 Factors of 25 factors of 98 factors of 415
Which is the smallest number with exactly nine distinct factors?
The smallest number n = p 8 is 256, with factors 1, 2, 4, 8, 16, 32, 64, 128, 256. The smallest n = p 1 2 p 2 2 is 36 with factors 1, 2, 3, 4, 6, 9, 12, 18, 36. So the answer is 36. If you want proper factors (excluding the number itself) the answer is 48, and I gave you the formula to calculate this.
Are there any numbers that have exactly 9 divisors?
The two numbers which have exactly 9 divisors are 36 and 100. Recommended: Please try your approach on {IDE} first, before moving on to the solution. A naive approach is to iterate for all numbers till N and count the numbers that have exactly 9 divisors.
