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Q: What is the least number with exactly 8 factors?

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30 has exactly 8 factors 1,2,3,5,6,10,15,30

It is 8 because 9652/76 = 127

First, I determined the least common multiple to see how many factors it had. The least common multiple is the product of the two numbers divided by the greatest common factor, which is 35 x 77 ÷ 7 = 385. The factors of 385 are 1, 5, 7, 11, 35, 55, 77, and 385. There are 8 factors, so this number satisfies the requirements.

7 is a prime number, and not a factor of 8 or 9. 1, 2, 4, and 8 are factors of 8. 1, 3, and 9 are factors of 9. 7, 8, and have no common factors. So the least common multiple of 7, 8, and 9 are 7 X 8 X 9, which equals 504504

A factor is what a number is divisible by. 16: 1, 2, 4, 8, 16

Related questions

64 is the least number having exactly 7 factors: 1, 2, 4, 8, 16, 32, and 64.

8

8

8 (1,2,4,8)

8

There is no such number. Any prime number raised to the third power has exactly four factors. For example, 23 = 8; its factors are 1, 2, 4, 8 (1, 2, 22, 23). Since - as is well-known - there is no largest prime number, there is no largest number that has exactly four factors.

24

88 has exactly eight factors (1, 2, 4, 8, 11, 22, 44 & 88)

Answer16 is the smallest natural number that has exactly five factors; which are: 1, 2, 4, 8, and 16. Only squares have an odd number of factors.

8, 2*2*2

There are quite a few. 6 does. 8 does.

There are an infinite number of them. 8 has three prime factors, 30 is the first with three distinct prime factors.

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