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No, 144 is not an odd number

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โˆ™ 2010-06-01 17:40:09
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Q: Is 144 an odd number
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Related questions

Is 144 a n odd or even number?

An even number can be divided by 2 evenly. An odd number will have a remainder of 1 when divided by 2. 144 is an even number.


Does 144 have an odd number of factors?

Yes.


How do you know that 144 has an even or odd number of factors without finding each one?

Express the number in its prime factorisation in power format. The number of factors of the number is the product of the powers each increased by 1. 144 = 2^4 × 2^2 → number of factors is (4+1) × (2+1) = 3×5 = 15; so 144 has an odd number of factors. As an even number times an even or odd number is even, the only way the product above can be odd is if every power increased by 1 is odd, that is only if every prime is to an even power. By using the laws of indices, this means the power of every prime can be divided by 2 and the whole prime factorisation so created raised to the power 2 which is squared, eg for 144: 2^4 × 3^2 = (2^2 ×3^1)². Thus for a number to have an odd number of factors it must be a perfect square. 144 is a perfect square (144 = 12²) therefore it has an odd number of factors. This result that only perfect squares have an odd number of factors can also be seen by looking at the factor pairs of a number: the factors of a number can be paired up so that when the numbers of a pair are multiplied together they get the original number. If there is an odd number of factors then after the pairing there will be one factor left unpaired, but as it is a factor of the original number it must have a pair. Therefore the only pair possible is with itself, ie the number is this factor squared and the number is a perfect square. for example: for 144, the factors are: {1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144} which can be paired as: {1, 144}, {2, 72}, {3, 48}, {4, 36}, {6, 24}, {8, 18}, {9, 16} leaving the factor 12 unpaired, so it must pair with itself as {12, 12} which means 144 = 12² and is a perfect square (with an odd number of factors).


What are the three greatest whole numbers less than 200 such that each number has an odd number of factors?

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


3 greatest whole numbers less than 200 such that each has an odd number of factors?

196, 169, 144


What are the three greatest whole numbers numbers less than 150 that have an odd number of factors?

144, 121 and 100


Number is the odd one out 16 49 81 100 144 729 1296 3764?

3764. The rest are perfect squares.


the number 5 is?

odd


An odd number minus an odd number?

An odd number minus an odd number is an even number.


What happens when you subtract a odd number and an odd number?

when an odd number is subtracted from an odd number the answer is an even number.


what happen if you subtract three odd numbers?

you get an odd number


What is odd multiples of odd number?

These are the products of the given odd number and any odd number.


What is odd x odd?

An odd number times an odd number is an odd number no matter which 2 odds you multiply.


What is an odd number minus an even number?

an odd numberSubtracting an odd number from an even number will always result in an odd number.


Is 144 a triangular number?

144 is a square number, not a triangular number.


What is the sum of a odd number and a even number?

The sum of an odd number and an even number will always give an odd number. Ex: 2 + 5 = 7


What is the difference of an odd number and an even number?

The difference of an odd number and an even number is an odd number.


Is 99 the 100th odd number?

No. As both negative and positive numbers can be odd, there is no first odd number, and therefore no 100th odd number. The 100th odd positive number is 199.


Why does five have even and odd multiples?

That happens because 5 is an odd number. An odd number times an odd number will give you an odd product; an odd number times an even number will give you an even product. The same happens for the multiples of any other odd number.


What is the 12th square number?

What is the 12 square number


Why is and odd number minus an even number odd?

Because the second number from an odd number is odd, and every other number is an odd number. In fact, if you add or subtract an even number with any number, the result keeps the same parity as the other number. So an odd number minus an even number is odd, while an even number minus and even number is even.


Is 144 and even number?

Yes, 144 is an even number.


Is 144 cube number?

No because 144 is a square number


Is 4721 in odd number?

yes it is an odd number because the last number in the entire number is an odd number


What will you get if you odd three odd and an even number?

An odd number