**3 × 23** = 69.

6 × 11 + 3 = 69.

Solution: The factors of 69 are 1, 3, 23 and 69 .

143. This one is the most common mathematical way of saying I love you and you probably know of it already! The numbers 1,4,3 represent the number of alphabets that are present in each of the words of the phrase 'I love you'. That is: I = 1, love = 4 and you = 3.

For decades, a math puzzle has stumped the smartest mathematicians in the world. x^{3}+y^{3}+z^{3}=k, with k being all the numbers from one to 100, is a Diophantine equation that's sometimes known as "summing of three cubes."

In mathematics, entirely by coincidence, there exists a polynomial equation for which the answer, 42, had similarly eluded mathematicians for decades. The equation x^{3}+y^{3}+z^{3}=k is known as the sum of cubes problem.

The equation x3+y3+z3=k is known as the sum of cubes problem. While seemingly straightforward, the equation becomes exponentially difficult to solve when framed as a "Diophantine equation" -- a problem that stipulates that, for any value of k, the values for x, y, and z must each be whole numbers.

1 Answers. Input this in your calculator, 128*sqrt(e*980), and you will obtain 6606.481884325691648 as your answer.

In geometry, the kissing number of a mathematical space is defined as the greatest number of non-overlapping unit spheres that can be arranged in that space such that they each touch a common unit sphere.

143: I Love You

This one is easy. I (1) Love (4) You (3).

What are the Multiples of 69? So, the first 10 multiples of 69 are: 69, 138, 207, 276, 345, 414, 483, 552, 621 and 690.

As 69 is not a perfect square number, we get an irrational root. A perfect square number is a number that can be written as a square of an integer and whose square is a whole number.

Answer: 1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 = 45. Let's observe the pattern. Explanation: The given sequence is 1, 2, 3, 4, 5, 6, 7, 8, 9.

So logically there are 2 6s.

Factor pairs: 666 = 1 x 666, 2 x 333, 3 x 222, 6 x 111, 9 x 74, or 18 x 37.

Use “xoxo." In the days before texting, people commonly used the letters “xo” to denote hugs (x) and kisses (o). You can use this simple, traditional, universally recognized message to send someone a kiss. Most people use “xoxo” at the end of messages, but you can use it as you like in text messages.

A lucky number is an integer that remains after a sieving process similar to a sieving process for prime numbers. . The first few lucky numbers are 1, 3, 7, 9, 13, 15, 21, 25, 31, 33, 37, 43, 49, 51, 63, 67, 69, 73, 75, 79, 87, 93, 99, etc., listed in A000959 of Sloane's OEIS.

Kaprekar constant, or 6174, is a constant that arises when we take a 4-digit integer, form the largest and smallest numbers from its digits, and then subtract these two numbers. Continuing with this process of forming and subtracting, we will always arrive at the number 6174.

Here, 128 cannot be grouped into triplets of equal factors, we are left of with one factor 2 . ∴ 128 is not a perfect cube.

On finding square root of 128, we can see that 3 pairs of the same number can be formed, but one number will still remain within square root. Hence, 128 is not a perfect square.

The exponential constant is an important mathematical constant and is given the symbol e. Its value is approximately 2.718.

Hence, −3x2y−3xy2 should be added to x3+3x2y+3xy2+y3 to get x3+y3.

Step 1. A polynomial is an algebraic expression consisting of variables and coefficient in which the variables involved have only non- integral powers. Given: An expression 3 x y z . It consists of term having variable , and . ∴ 3 x y z is a polynomial.

The BMW Z3 is a range of two-seater sports cars which was produced from 1995 to 2002. The body styles of the range are: 2-door roadster (E36/7 model code)