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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

How can the prime factorization of 2 numbers be used to determine their GCF and LCM?

Example: 30 and 42

2 x 3 x 5 = 30

2 x 3 x 7 = 42

Select the common factors.

2 x 3 = 6, the GCF

Combine the factors, eliminating duplicates.

2 x 3 x 5 x 7 = 210, the LCM

What are all the prime numbers from 1-99?

The prime numbers from 1-99 are 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, and 97.

What is 150 prime numbers?

The prime factorization of 150 is 2 x 3 x 5 x 5 (2 x 3 x 52 in exponential notation).

What is the word form for this number 1456987256984512369?

One quintillion, four hundred fifty-six quadrillion, nine hundred eighty-seven trillion, two hundred fifty-six billion, nine hundred eighty-four million, five hundred twelve thousand, three hundred sixty-nine.

What are all the negative non integers that have a product of 20?

There are infinite number of negative non integers that have a product of 20. Any two negative fractions can make a product of 20. e.g.

-3/20 * -800/6 = 20

-3/8 * -320/6 = 20

-9/7 * -140/9 = 20

The list is endless. Only make sure you select both negative fractions to get a positive 20 and when selecting the fractions the numerator of one number is divisible by the other number's denominator such that the factors cancel to give 20.

Why use a leading zero for decimal numbers for instance -0.723?

Only to draw attention to the decimal point which might, otherwise, be missed.

Is there more prime numbers between100and200 or200and300 why?

There are more prime numbers in the range 100-200 than in the range 200-300.

There is no particular reason.

100-200: 23 primes

200-300: 16 primes

300-400: 16 primes

400-500: 17 primes

500-600: 14 primes

600-700: 16 primes

There is no clear pattern.

The number of primes that are less than a number k is approximately k/ln(k) where ln(k) is the natural logarithm of k. For intervals of equal size, this implies a very gradual decrease in the number of primes: but only approximately.