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Q: How many numbers which are less than 1000 have an odd number of factors?

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There are 31 numbers less than 1,000 which have an odd number of factors. They are: 1,4,9,16,25,36,49,64,81,100,121,144,169,196,225,256,289,324,361,400,441,484,529,576,625,676,729,784,841,900,961.

1000 more is 577233 1000 less is 575233

There are 10 numbers less than 101 which have an odd number of factors: 1,4,9,16,25,36,49,64,81,100.

210 has 4, which is the maximum possible. There are other numbers with 4 different prime factors.

11

840

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.

577233 and 575233 respectively

The prime numbers less than 13 have the fewest factors. They are:235711

2

1000 more:7735 1000 less:5735

There are four odd numbers less that 100 that have 6 factor. This does not compare with even numbers that have 12 factors!

There is an infinite number of such numbers, including one through eleven.

1 is the number less than fifty with the fewest number of factors. All other numbers have at least two factors (1, and the integer itself).

If you take away 1000 from 503000019 you get 502999019.If you add 1000 to 503000019 you get 503001019.

The three greatest whole numbers less than 200 that each have an odd number of factors are 144, 169 and 196.

Every number that's less than 1,000 but not less than 999.95 would do that. There are an infinite number of them.

No odd number less than hundred has 12 factors other numbers which has 12 factors are 60, 72, 84, 90 and 96. But they all are even numbers. The answer will be different if you consider negative numbers, however.

Prime numbers have two factors. Composite numbers have more than two. Numbers with less than two are neither.

3, 9, 27, 81, 243, 729

Literally every single even number less than 1000 is a composite number other than 2 which is prime.

Because all of the numbers less than 1260 have fewer factors.

There are a few numbers that are less than 19 and have more than 4 factors. The number 10 is less than 19 and has more than four factors.

432

The most factors any odd number less than 100 has is 6. There are 4 numbers which have 6 factors:45, 63, 75 & 99.

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