Factors of 2430 in pair are (1, 2430) , (2, 1215) , (3, 810) , (5, 486) , (6, 405) , (9, 270) , (10, 243) , (15, 162) , (18, 135) , (27, 90) , (30, 81) and (45, 54)

- Find all the numbers that would divide 2430 without leaving any remainder. Starting with the number 1 upto 1215 (half of 2430). The number 1 and the number itself are always factors of the given number.
- Pair the factors so that their product is 2430, and read off the answer!

Factor Pair | Pair Factorization |
---|---|

1 and 2430 | 1 x 2430 = 2430 |

2 and 1215 | 2 x 1215 = 2430 |

3 and 810 | 3 x 810 = 2430 |

5 and 486 | 5 x 486 = 2430 |

6 and 405 | 6 x 405 = 2430 |

9 and 270 | 9 x 270 = 2430 |

10 and 243 | 10 x 243 = 2430 |

15 and 162 | 15 x 162 = 2430 |

18 and 135 | 18 x 135 = 2430 |

27 and 90 | 27 x 90 = 2430 |

30 and 81 | 30 x 81 = 2430 |

45 and 54 | 45 x 54 = 2430 |

Since the product of two negative numbers gives a positive number, the product of the negative values of both the numbers in a pair factor will also give 2430. They are called negative pair factors.

Hence, the negative pairs of 2430 would be ( -1 , -2430 ) .

In mathematics, factor pair are often given as pair of numbers which when multiplied together give the original number. Every natural number is a product of atleast one factor pair. Eg- Factors of 2430 are 1 , 2 , 3 , 5 , 6 , 9 , 10 , 15 , 18 , 27 , 30 , 45 , 54 , 81 , 90 , 135 , 162 , 243 , 270 , 405 , 486 , 810 , 1215 , 2430. So, factors of 2430 in pair are (1,2430), (2,1215), (3,810), (5,486), (6,405), (9,270), (10,243), (15,162), (18,135), (27,90), (30,81), (45,54).

In mathematics, a factor is that number which divides into another number exactly, without leaving a remainder. A factor of a number can be positive or negative.

- Each number is a factor of itself. Eg. 2430 is a factor of itself.
- Every number other than 1 has at least two factors, namely the number itself and 1.
- Every factor of a number is an exact divisor of that number, example 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 81, 90, 135, 162, 243, 270, 405, 486, 810, 1215, 2430 are exact divisors of 2430.
- 1 is a factor of every number. Eg. 1 is a factor of 2430.
- Every number is a factor of zero (0), since 2430 x 0 = 0.

**Step 1.**Find all the numbers that would divide 2430 without leaving any remainder. Starting with the number 1 upto 1215 (half of 2430). The number 1 and the number itself are always factors of the given number.2430 ÷ 1 : Remainder = 02430 ÷ 2 : Remainder = 02430 ÷ 3 : Remainder = 02430 ÷ 5 : Remainder = 02430 ÷ 6 : Remainder = 02430 ÷ 9 : Remainder = 02430 ÷ 10 : Remainder = 02430 ÷ 15 : Remainder = 02430 ÷ 18 : Remainder = 02430 ÷ 27 : Remainder = 02430 ÷ 30 : Remainder = 02430 ÷ 45 : Remainder = 02430 ÷ 54 : Remainder = 02430 ÷ 81 : Remainder = 02430 ÷ 90 : Remainder = 02430 ÷ 135 : Remainder = 02430 ÷ 162 : Remainder = 02430 ÷ 243 : Remainder = 02430 ÷ 270 : Remainder = 02430 ÷ 405 : Remainder = 02430 ÷ 486 : Remainder = 02430 ÷ 810 : Remainder = 02430 ÷ 1215 : Remainder = 02430 ÷ 2430 : Remainder = 0

Hence, Factors of
*2430* are **1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 81, 90, 135, 162, 243, 270, 405, 486, 810, 1215, and 2430**

**Is 2430 a composite number?**Yes 2430 is a composite number.

**Is 2430 a prime number?**No 2430 is not a prime number.

**What is the mean of factors of 2430?**Factors of 2430 are 1 , 2 , 3 , 5 , 6 , 9 , 10 , 15 , 18 , 27 , 30 , 45 , 54 , 81 , 90 , 135 , 162 , 243 , 270 , 405 , 486 , 810 , 1215 , 2430. therefore mean of factors of 2430 is (1 + 2 + 3 + 5 + 6 + 9 + 10 + 15 + 18 + 27 + 30 + 45 + 54 + 81 + 90 + 135 + 162 + 243 + 270 + 405 + 486 + 810 + 1215 + 2430) / 24 = 273.00.

**What do you mean by proper divisors?**A number x is said to be the proper divisor of y if it divides y completely, given that x is smaller than y.

**What do you mean by improper divisors?**An improper divisor of a number is the number itself apart from this any divisor of a given number is a proper divisor.

Factors of 2430 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 81, 90, 135, 162, 243, 270, 405, 486, 810, 1215, 2430. So, factors of 2430 in pair are (1,2430), (2,1215), (3,810), (5,486), (6,405), (9,270), (10,243), (15,162), (18,135), (27,90), (30,81), (45,54).

Factors of 2430 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 81, 90, 135, 162, 243, 270, 405, 486, 810, 1215, 2430. So, factors of 2430 in pair are (1,2430), (2,1215), (3,810), (5,486), (6,405), (9,270), (10,243), (15,162), (18,135), (27,90), (30,81), (45,54).

Factors of 2430 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 81, 90, 135, 162, 243, 270, 405, 486, 810, 1215, 2430. Hence, the factors of 2430 in pair are (1,2430), (2,1215), (3,810), (5,486), (6,405), (9,270), (10,243), (15,162), (18,135), (27,90), (30,81), (45,54). Therefore, in total 12 pairs of factors are possible.

Negative factors of 2430 are -1, -2, -3, -5, -6, -9, -10, -15, -18, -27, -30, -45, -54, -81, -90, -135, -162, -243, -270, -405, -486, -810, -1215, -2430. Hence, factors of 2430 in pair are (-1,-2430), (-2,-1215), (-3,-810), (-5,-486), (-6,-405), (-9,-270), (-10,-243), (-15,-162), (-18,-135), (-27,-90), (-30,-81), (-45,-54).

Factors of 2430 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 81, 90, 135, 162, 243, 270, 405, 486, 810, 1215, 2430. Positive factors of 2430 in pair are (1,2430), (2,1215), (3,810), (5,486), (6,405), (9,270), (10,243), (15,162), (18,135), (27,90), (30,81), (45,54). Negative factors of 2430 in pair are (-1,-2430), (-2,-1215), (-3,-810), (-5,-486), (-6,-405), (-9,-270), (-10,-243), (-15,-162), (-18,-135), (-27,-90), (-30,-81), (-45,-54).

Factors of 2430 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 81, 90, 135, 162, 243, 270, 405, 486, 810, 1215, 2430. So the product of all factors of 2430 would be 1 x 2 x 3 x 5 x 6 x 9 x 10 x 15 x 18 x 27 x 30 x 45 x 54 x 81 x 90 x 135 x 162 x 243 x 270 x 405 x 486 x 810 x 1215 x 2430 = 4.239115827521621e+40.

- Finding out all positive factors of 2430.

- Writing all prime factors of 2430.

- Writing all the possible factors of 2430 in pair.

Help him in writing all these.

Positive factors of 2430 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 81, 90, 135, 162, 243, 270, 405, 486, 810, 1215, 2430.

Prime factors of 2430 are 2, 3, 3, 3, 3, 3, 5.

Factors of 2430 in pair are (1,2430), (2,1215), (3,810), (5,486), (6,405), (9,270), (10,243), (15,162), (18,135), (27,90), (30,81), (45,54).

Factors of 2430 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 81, 90, 135, 162, 243, 270, 405, 486, 810, 1215, 2430.

Factors of 2430 in pair are (1,2430), (2,1215), (3,810), (5,486), (6,405), (9,270), (10,243), (15,162), (18,135), (27,90), (30,81), (45,54).