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Numbers

Numbers are our way to quantify, label, and organize the world around us in a logical manner. However, the systems used to obtain this goal differ geographically, historically, and by relative utility. All questions pertaining to numbers, including historic labeling systems, bases of numerical systems, constants, and the various ways they're grouped together, should be placed into this category.

46,867 Questions

What kind of number is 0x00000081-0x00000083?

STOP 0x00000081 errors are likely caused by hardware or device driver issues.

What are all the prime numbers 100-199?

101 103 107 109 113 127 131 137 139 149 151 157 163 167 173 179 181 191 193 197 199.

How can you tell which fraction is greater if both fractions have the same number?

If the fraction is 4/4 and 4/4 they are the same.

if the fraction is 2/4 and 3/4. 3/4 Is larger.

What are the numbers divisible by 3300?

Numbers which are divisible by 3300 are 3300, 6600, 9900,...

In short the answer is: All the multiples of 3300.

Can decimal number always be accurately represented as a binary number?

No.

eg 0.1 is non terminating in binary and so would only ever be an approximation, just like 0.3, 0.33, 0.3333333 are all approximations of 1/3 (which is non terminating when represented as a decimal).

How do you find the prime factorizatoin of a number?

Prime Factorization

"Prime Factorization" is finding which prime numbers you need to multiply together to get the original number.

Example 1

What are the prime factors of 12?

It is best to start working from the smallest prime number, which is 2, so let's check:

12 ÷ 2 = 6

But 6 is not a prime number, so we need to factor it further:

6 ÷ 2 = 3

And 3 is a prime number, so:

12 = 2 × 2 × 3

As you can see, every factor is a prime number, so the answer must be right - the prime factorization of 12 is 2 × 2 × 3, which can also be written as 22 × 3

Example 2

What is the prime factorization of 147?

Can we divide 147 evenly by 2? No, so we should try the next prime number, 3:

147 ÷ 3 = 49

Then we try factoring 49, and find that 7 is the smallest prime number that works:

49 ÷ 7 = 7

And that is as far as we need to go, because all the factors are prime numbers.

147 = 3 × 7 × 7 = 3 × 72

How can you test t determine whether a number is a factor of a number?

it's simple, you divide the potential factor by the original number.

For example, if I wanted to find out if 12 was a factor of 36;

36/12= 3

Because this number is an integer and not a decimal we know that in fact, 12 is a factor of 36.

I hope that helped :)

Is an integer similar to an irrational number?

No. An integer is any whole number, and they're all rational.

Is 02 a prime number?

0.2 is not a prime number. Prime numbers belong to the set of whole numbers.

What are 3 consecutive integers such that twice the middle integer plus the largest is 14 less than five times the smallest?

If x is the smallest, the other numbers are (x+1) and (x=+2).

2(x+1) + (x+2) = 5x - 14

2x + 2 + x + 2 = 5x -14

3x + 4 = 5x -14

4 = 5x - 3x - 14

4 + 14 = 5x - 3x

18 = 2x

9 = x

To verify...

(10 * 2) + 11 = 20 + 11 = 31

(5 * 9) - 14 = 45 - 14 = 31