Triangular Numbers

So the hundredth triangular number is: | 100 101 | = 5050 |
---|---|---|

2 |

What are all the triangular numbers?

0, 1, 3, 6, 10, 15, 21, 28, 36, 45, 55, 66, 78, 91, 105, 120, 136, 153, 171, 190, 210, 231, 253, 276, 300, 325, 351, 378, 406, 435, 465, 496, 528, 561, 595, 630, 666

1

## What is the cubic number?

A

**cubic number**is a figurate**number**of the form with a positive integer. The first few are 1, 8, 27, 64, 125, 216, 343, (OEIS A000578).2

## What is the number cube?

The result of using a whole

**number**in a multiplication three times. Example: 3 × 3 × 3 = 27, so 27 is a**cube number**. Here are the first few**cube numbers**: 1 (=1×1×1)3

## What are the cube numbers up to 100?

Square, Cube, Square Root and Cubic Root for Numbers Ranging 0 - 100

Number x | Square x^{2} | Cube x^{3} |
---|---|---|

3 | 9 | 27 |

4 | 16 | 64 |

5 | 25 | 125 |

6 | 36 | 216 |

4

## What are the prime numbers from 1 to 100?

When a number has more than two

**factors**it is called a composite number. Here are the first few prime numbers: 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97, 101, 103, 107, 109, 113, 127, 131, 137, 139, 149, 151, 157, 163, 167, 173, 179, 181, 191, 193, 197, 199, etc.5

## What is an example of a perfect cube?

A

**perfect cube**is a number that is the**cube**of an integer. Some**examples**of**perfect cubes**are 1, 8, 27, 64, 125, 216, 343, .. The opposite of cubing a number is finding the**cube**root.6

## What number is a perfect cube?

Is 19683 a perfect cube?

Number | Cube | Digital Root of the cube |
---|---|---|

3 | 27 | 9 (or 0) |

4 | 64 | 1 |

5 | 125 | 8 |

6 | 216 | 9 (or 0) |

7

## What is the perfect square of 256?

Perfect Square:

Positive Integer | Integer Squared= | Square Root of Perfect Square= |
---|---|---|

16 | 16 ^2 = | √ 256 = |

17 | 17 ^2 = | √ 289 = |

18 | 18 ^2 = | √ 324 = |

19 | 19 ^2 = | √ 361 = |

8

## What is the square roots of 256?

−16 is also a square

**root**of**256**. 162=(−16)2=**256**. By definition, the principal square**root**of a number is the positive square**root**. The term "the square**root**" is commonly used to refer to the principal (positive)**root**though there are usually two**roots**. √x2=|x|9

## What is √ 144?

While -12 is "a

**square root**" of**144**, the**square root**operation here denotes a function from nonnegative real numbers to nonnegative real numbers. A function can only produce a single result. So the expresion evaluates to the positive root 12.**144**has two roots, yes: .10

## What is 3 5 out of 50?

If you're having trouble multiplying fractions with whole numbers, just multiply the numerator of the fraction by the whole number, then divide by the denominator. In this case, you should get (3*50)/5 =

**30**.12

## Which area code is 289?

Area codes 905, 289, and 365 are area codes in the

**North**American Numbering Plan (NANP) in**Southern Ontario**,**Canada**, particularly covering the Niagara Peninsula, the city of**Hamilton**, Halton Region,**Peel Region**, York Region,**Durham Region**, and parts of Northumberland County.13

## Is the number 289 prime?

To be

**289 a prime number**, it would have been required that**289**has only two divisors, i.e., itself and 1. However,**289**is a semiprime (also called biprime or 2-almost-**prime**), because it is the product of a two non-necessarily distinct**prime numbers**. Indeed,**289**= 17 x 17, where 17 is a**prime number**.14

## Is the number 1681 Prime?

Why

**1681**is not a**prime number**? Because**1681**has divisors rather than 1 and itself.**1681**can be divided by 41 and .15

## Is the number 293 a prime number?

For

**293**, the answer is: yes,**293**is a**prime number**because it has only two distinct divisors: 1 and itself (**293**).16

## Is the number 57 a prime number?

**57**has an aliquot sum of 23 and is the first composite member of the 23-aliquot tree. Although

**57**is not

**prime**, it is jokingly known as the "Grothendieck

**prime**" after a story in which mathematician Alexander Grothendieck supposedly gave it as an example of a particular

**prime number**.

**57**is a 20-gonal

**number**.

17

## Is the number 121 prime?

To be

**121 a prime number**, it would have been required that**121**has only two divisors, i.e., itself and 1. However,**121**is a semiprime (also called biprime or 2-almost-**prime**), because it is the product of a two non-necessarily distinct**prime numbers**. Indeed,**121**= 11 x 11, where 11 is a**prime number**.18

## Is Prime 173?

**Is 173**a

**prime**number? For

**173**, the answer is: yes,

**173**is a

**prime**number because it has only two distinct divisors: 1 and itself (

**173**).

19

## Is the number 153 a prime?

No the

**number 153**is not a**prime number**. One hundred and fifty-three is a composite**number**. Because**153**has more divisors than 1 and itself.