Factors of 1360 in pair are (1, 1360) , (2, 680) , (4, 340) , (5, 272) , (8, 170) , (10, 136) , (16, 85) , (17, 80) , (20, 68) and (34, 40)

- Find all the numbers that would divide 1360 without leaving any remainder. Starting with the number 1 upto 680 (half of 1360). The number 1 and the number itself are always factors of the given number.
- Pair the factors so that their product is 1360, and read off the answer!

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

1 and 1360 | 1 x 1360 = 1360 |

2 and 680 | 2 x 680 = 1360 |

4 and 340 | 4 x 340 = 1360 |

5 and 272 | 5 x 272 = 1360 |

8 and 170 | 8 x 170 = 1360 |

10 and 136 | 10 x 136 = 1360 |

16 and 85 | 16 x 85 = 1360 |

17 and 80 | 17 x 80 = 1360 |

20 and 68 | 20 x 68 = 1360 |

34 and 40 | 34 x 40 = 1360 |

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 1360. They are called negative pair factors.

Hence, the negative pairs of 1360 would be ( -1 , -1360 ) .

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 1360 are 1 , 2 , 4 , 5 , 8 , 10 , 16 , 17 , 20 , 34 , 40 , 68 , 80 , 85 , 136 , 170 , 272 , 340 , 680 , 1360. So, factors of 1360 in pair are (1,1360), (2,680), (4,340), (5,272), (8,170), (10,136), (16,85), (17,80), (20,68), (34,40).

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. 1360 is a factor of itself.
- 1 is a factor of every number. Eg. 1 is a factor of 1360.
- Every number is a factor of zero (0), since 1360 x 0 = 0.
- 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, 4, 5, 8, 10, 16, 17, 20, 34, 40, 68, 80, 85, 136, 170, 272, 340, 680, 1360 are exact divisors of 1360.
- Factors of 1360 are 1, 2, 4, 5, 8, 10, 16, 17, 20, 34, 40, 68, 80, 85, 136, 170, 272, 340, 680, 1360. Each factor divides 1360 without leaving a remainder.
- Every factor of a number is less than or equal to the number, eg. 1, 2, 4, 5, 8, 10, 16, 17, 20, 34, 40, 68, 80, 85, 136, 170, 272, 340, 680, 1360 are all less than or equal to 1360.

**Step 1.**Find all the numbers that would divide 1360 without leaving any remainder. Starting with the number 1 upto 680 (half of 1360). The number 1 and the number itself are always factors of the given number.1360 ÷ 1 : Remainder = 01360 ÷ 2 : Remainder = 01360 ÷ 4 : Remainder = 01360 ÷ 5 : Remainder = 01360 ÷ 8 : Remainder = 01360 ÷ 10 : Remainder = 01360 ÷ 16 : Remainder = 01360 ÷ 17 : Remainder = 01360 ÷ 20 : Remainder = 01360 ÷ 34 : Remainder = 01360 ÷ 40 : Remainder = 01360 ÷ 68 : Remainder = 01360 ÷ 80 : Remainder = 01360 ÷ 85 : Remainder = 01360 ÷ 136 : Remainder = 01360 ÷ 170 : Remainder = 01360 ÷ 272 : Remainder = 01360 ÷ 340 : Remainder = 01360 ÷ 680 : Remainder = 01360 ÷ 1360 : Remainder = 0

Hence, Factors of
*1360* are **1, 2, 4, 5, 8, 10, 16, 17, 20, 34, 40, 68, 80, 85, 136, 170, 272, 340, 680, and 1360**

**Is 1360 a composite number?**Yes 1360 is a composite number.

**Is 1360 a prime number?**No 1360 is not a prime number.

**Write five multiples of 1360.**Five multiples of 1360 are 2720, 4080, 5440, 6800, 8160.

**Write all odd factors of 1360?**The factors of 1360 are 1, 2, 4, 5, 8, 10, 16, 17, 20, 34, 40, 68, 80, 85, 136, 170, 272, 340, 680, 1360.

Odd factors of 1360 are 1 , 5 , 17 , 85.**What is the mean of all prime factors of 1360?**Factors of 1360 are 1 , 2 , 4 , 5 , 8 , 10 , 16 , 17 , 20 , 34 , 40 , 68 , 80 , 85 , 136 , 170 , 272 , 340 , 680 , 1360. Prime factors of 1360 are 2 , 2 , 2 , 2 , 5 , 17. Therefore mean of prime factors of 1360 is (2 + 2 + 2 + 2 + 5 + 17) / 6 = 5.00.

Factors of 1360 are 1, 2, 4, 5, 8, 10, 16, 17, 20, 34, 40, 68, 80, 85, 136, 170, 272, 340, 680, 1360. So, factors of 1360 in pair are (1,1360), (2,680), (4,340), (5,272), (8,170), (10,136), (16,85), (17,80), (20,68), (34,40).

Negative factors of 1360 are -1, -2, -4, -5, -8, -10, -16, -17, -20, -34, -40, -68, -80, -85, -136, -170, -272, -340, -680, -1360. Hence, factors of 1360 in pair are (-1,-1360), (-2,-680), (-4,-340), (-5,-272), (-8,-170), (-10,-136), (-16,-85), (-17,-80), (-20,-68), (-34,-40).

Factors of 1360 are 1, 2, 4, 5, 8, 10, 16, 17, 20, 34, 40, 68, 80, 85, 136, 170, 272, 340, 680, 1360. Positive factors of 1360 in pair are (1,1360), (2,680), (4,340), (5,272), (8,170), (10,136), (16,85), (17,80), (20,68), (34,40). Negative factors of 1360 in pair are (-1,-1360), (-2,-680), (-4,-340), (-5,-272), (-8,-170), (-10,-136), (-16,-85), (-17,-80), (-20,-68), (-34,-40).

Factors of 1360 are 1, 2, 4, 5, 8, 10, 16, 17, 20, 34, 40, 68, 80, 85, 136, 170, 272, 340, 680, 1360. So the product of all factors of 1360 would be 1 x 2 x 4 x 5 x 8 x 10 x 16 x 17 x 20 x 34 x 40 x 68 x 80 x 85 x 136 x 170 x 272 x 340 x 680 x 1360 = 2.1646569678409836e+31.

Factors of 1360 are 1, 2, 4, 5, 8, 10, 16, 17, 20, 34, 40, 68, 80, 85, 136, 170, 272, 340, 680, 1360. Prime factors are 2, 2, 2, 2, 5, 17. So, the product of all prime factors of 1360 would be 2 x 2 x 2 x 2 x 5 x 17 = 1360.

Factors of 1360 are 1, 2, 4, 5, 8, 10, 16, 17, 20, 34, 40, 68, 80, 85, 136, 170, 272, 340, 680, 1360.

Factors of 1360 in pair are (1,1360), (2,680), (4,340), (5,272), (8,170), (10,136), (16,85), (17,80), (20,68), (34,40).

To arrange 1360 blocks in all possible ways to form a rectangle, we need to calculate factors of 1360 in pair. Therefore, factors of 1360 in pair are (1,1360), (2,680), (4,340), (5,272), (8,170), (10,136), (16,85), (17,80), (20,68), (34,40)