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What number has exactly 60 factors?

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Anonymous

13y ago
Updated: 8/18/2019

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Related Questions

What number between 40 and 60 has exactly three factors?

All prime squares have exactly three factors.49 has exactly three factors: 1, 7, and 49.


What number has exactly 3 factors and is greater than 40 and less than 60?

49 has exactly 3 factors (1, 7, and 49) and is greater than 40 and less than 60.


Why is 60 not a prime number?

Because a prime number is a number that has exactly two factors: 1 and itself. 60 has 12 factors: 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60.


What is a whole number greater than 1 that is exactly two factors?

Any composite number. Examples: 4 and 9 . . . (three factors) 6, 8, and 10 . . . (four factors) 12 . . . (six factors) 60 . . . (twelve factors)


What is a number between 60 and 90 that has exactly two prime factors?

77 is one possibility.


What is the smallest two digit number with exactly 12 factors?

The smallest two-digit number with exactly 12 factors is 60. The number 60 can be factored as (2^2 \times 3^1 \times 5^1), and using the formula for finding the number of factors ((e_1 + 1)(e_2 + 1)(e_3 + 1)), where (e_i) are the exponents in the prime factorization, we get ((2 + 1)(1 + 1)(1 + 1) = 3 \times 2 \times 2 = 12). Thus, 60 has exactly 12 factors.


Which number less than 100 has exactly 12 factors?

60, 72, 84, 90, and 96 each have 12 factors.


What is the smallest number with 11 factors?

1024 has exactly eleven. 60 has twelve, so it has eleven as well.


A number that has exactly two factors?

A prime number has exactly two factors.


What is the least positive integer that has exactly 13 factors?

4096 is the smallest number with exactly 13 factors. (Including 1 and itself as factors).192 is the smallest number with exactly 13 properfactors, (excluding the number itself).120 is the smallest number with at least 13 factors (it has 16 factors)To find the smallest number with exactly N factors (for example, N=12):Factor N into primes, (for example, 12= 2*2*3Subtract 1 from each of the prime factors (for example, 1,1,2)Sort them by largest first (for example, 2,1,1)Raise successive prime numbers to these powers (for example, 2^2,3^1,5^1)Multiply these together (for example: 4*3*5 = 60; 60 is the smallest number with exactly 12 factors).


What is the second lowest number with 10 factors?

48 has ten factors, 60 and 72 have twelve apiece, 80 is the next one with exactly ten.


What is the different between factors and multiples?

The factors of a given number are those numbers which divide into the given number exactly without any remainder. The multiples of a given number are those numbers into which the given number divides exactly with no remainder (that is the given number's times table). example The factors of 60 are: 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60 since they all divide into 60 without any remainder The multiples of 60 are: 60, 120, 180, 240, 300, 360, 420, 480, 540, 600, (and so on) since they are all divisible by 60 with no remainder.