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Why does 36 have an odd number of factors?

Updated: 4/28/2022
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14y ago

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because you have a number times itself 6x6.

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Q: Why does 36 have an odd number of factors?
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Continue Learning about Algebra

Do all square numbers have exactly 3 factors?

No. 81=9*9=3*27=1*81 81 has 5 factors and is a square number. 36=6*6=3*12=1*36=2*18=4*9 36 has 9 factors and is a square number. This doesn't mean that no square numbers have exactly 3 factors though, because: 9=3*3=1*9 9 has 3 factors and is a square number. 4=2*2=1*4 4 has 3 factors and is a square number. All square numbers have an odd number of factors though (because they have a whole number which multiplies by itself to get the number). Factors are whole numbers only, and not decimals. Hope this helps :)


What are all the odd factors of 20?

1 and 5 are the factors of 20 which are odd.


What is the number between 60 and 70 that has an odd number of factors?

64 because 8*8=64. you just have to find the square number.


How many 3 digit numbers have even no of factors?

878 three digit numbers have an even number of factors. Every factor of a number has a pair, so there ought to be an even number of factors for every number. However, if a pair of the factors are the same number, then there will be an odd number of factors, that is if the number is a perfect square. Assuming three digit numbers are 100 to 999: From 100 to 999, the perfect squares are 102 = 100 to 312 = 961, a total of 31-10+1 = 22 numbers. So of the 999-100+1 = 900 three digit numbers, 22 have an odd number of factors, so 900-22 = 878 have an even number of factors.


What are the factors and prime factors of 324?

The 15 factors of 324 are 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, and 324.Note: There are an odd number of factors because 324 is a square number (18 * 18).The factor pairs of 324 are 1 * 324, 2 * 162, 3 * 108, 4 * 81, 6 * 54, 9 * 36, 12 * 27, and 18 * 18.Prime factorization:324 = 2 * 2 * 3 * 3 * 3 * 3

Related questions

Which number between 30 and 40 has an odd number of factors?

That number is 36.


Which numbers between 1 and 40 have an odd number of factors?

These numbers between 1 and 40 have an odd number of factors: 4, 9, 16, 25, 36.


What are factors of 36 but less than 25 but it is an odd number?

1, 3 and 9


What is the sum of the positive odd factors of 36?

The sum of the positive odd factors of 36 is 13 (1 + 3 + 9 = 13).


Odd number of factors?

Square numbers have an odd number of factors.


What kind of factors have an odd number of factors?

Square numbers have an odd number of factors.


What number between 12 and 40 have 3 factors?

only 2516 and 36 also have an odd number of factors, but both of those have more than 3.


Why has 36 got an odd number of factors?

Because it's a square and doesn't list the 6 twice.


Can an odd number have odd numbers of factors?

Yes. Square numbers have an odd number of factors. 49 has three factors.


Can a number have an odd number of factors?

Yes, quare numbers have an odd number of factors.


What is a number that has an odd number of factors?

if a number has an odd number of factors it would be a perfect square


What is a number that has odd number of factors?

if a number has an odd number of factors it would be a perfect square