Factors of 2002 in pair are (1, 2002) , (2, 1001) , (7, 286) , (11, 182) , (13, 154) , (14, 143) , (22, 91) and (26, 77)

- Find all the numbers that would divide 2002 without leaving any remainder. Starting with the number 1 upto 1001 (half of 2002). The number 1 and the number itself are always factors of the given number.
- Pair the factors so that their product is 2002, and read off the answer!

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

1 and 2002 | 1 x 2002 = 2002 |

2 and 1001 | 2 x 1001 = 2002 |

7 and 286 | 7 x 286 = 2002 |

11 and 182 | 11 x 182 = 2002 |

13 and 154 | 13 x 154 = 2002 |

14 and 143 | 14 x 143 = 2002 |

22 and 91 | 22 x 91 = 2002 |

26 and 77 | 26 x 77 = 2002 |

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 2002. They are called negative pair factors.

Hence, the negative pairs of 2002 would be ( -1 , -2002 ) .

A factor pair of a number can be defined as the combination of two factors in such a way that when multiplied together produce the number itself. Every natural number is a product of atleast one factor pair. Eg- Factors of 2002 are 1 , 2 , 7 , 11 , 13 , 14 , 22 , 26 , 77 , 91 , 143 , 154 , 182 , 286 , 1001 , 2002. So, factors of 2002 in pair are (1,2002), (2,1001), (7,286), (11,182), (13,154), (14,143), (22,91), (26,77).

In mathematics, a factor is a number or also it can be an algebraic expression that divides another number or any expression completely and that too without leaving any remainder. A factor of a number can be positive or negative.

- Each number is a factor of itself. Eg. 2002 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, 7, 11, 13, 14, 22, 26, 77, 91, 143, 154, 182, 286, 1001, 2002 are exact divisors of 2002.
- 1 is a factor of every number. Eg. 1 is a factor of 2002.
- Every number is a factor of zero (0), since 2002 x 0 = 0.

**Step 1.**Find all the numbers that would divide 2002 without leaving any remainder. Starting with the number 1 upto 1001 (half of 2002). The number 1 and the number itself are always factors of the given number.2002 ÷ 1 : Remainder = 02002 ÷ 2 : Remainder = 02002 ÷ 7 : Remainder = 02002 ÷ 11 : Remainder = 02002 ÷ 13 : Remainder = 02002 ÷ 14 : Remainder = 02002 ÷ 22 : Remainder = 02002 ÷ 26 : Remainder = 02002 ÷ 77 : Remainder = 02002 ÷ 91 : Remainder = 02002 ÷ 143 : Remainder = 02002 ÷ 154 : Remainder = 02002 ÷ 182 : Remainder = 02002 ÷ 286 : Remainder = 02002 ÷ 1001 : Remainder = 02002 ÷ 2002 : Remainder = 0

Hence, Factors of
*2002* are **1, 2, 7, 11, 13, 14, 22, 26, 77, 91, 143, 154, 182, 286, 1001, and 2002**

**Is 2002 a composite number?**Yes 2002 is a composite number.

**Is 2002 a prime number?**No 2002 is not a prime number.

**Write five multiples of 2002.**Five multiples of 2002 are 4004, 6006, 8008, 10010, 12012.

**Write all odd factors of 2002?**The factors of 2002 are 1, 2, 7, 11, 13, 14, 22, 26, 77, 91, 143, 154, 182, 286, 1001, 2002.

Odd factors of 2002 are 1 , 7 , 11 , 13 , 77 , 91 , 143 , 1001.**What is the mean of all prime factors of 2002?**Factors of 2002 are 1 , 2 , 7 , 11 , 13 , 14 , 22 , 26 , 77 , 91 , 143 , 154 , 182 , 286 , 1001 , 2002. Prime factors of 2002 are 2 , 7 , 11 , 13. Therefore mean of prime factors of 2002 is (2 + 7 + 11 + 13) / 4 = 8.25.

Factors of 2002 are 1, 2, 7, 11, 13, 14, 22, 26, 77, 91, 143, 154, 182, 286, 1001, 2002. So, factors of 2002 in pair are (1,2002), (2,1001), (7,286), (11,182), (13,154), (14,143), (22,91), (26,77).

Negative factors of 2002 are -1, -2, -7, -11, -13, -14, -22, -26, -77, -91, -143, -154, -182, -286, -1001, -2002. Hence, factors of 2002 in pair are (-1,-2002), (-2,-1001), (-7,-286), (-11,-182), (-13,-154), (-14,-143), (-22,-91), (-26,-77).

Factors of 2002 are 1, 2, 7, 11, 13, 14, 22, 26, 77, 91, 143, 154, 182, 286, 1001, 2002. Positive factors of 2002 in pair are (1,2002), (2,1001), (7,286), (11,182), (13,154), (14,143), (22,91), (26,77). Negative factors of 2002 in pair are (-1,-2002), (-2,-1001), (-7,-286), (-11,-182), (-13,-154), (-14,-143), (-22,-91), (-26,-77).

Factors of 2002 are 1, 2, 7, 11, 13, 14, 22, 26, 77, 91, 143, 154, 182, 286, 1001, 2002. Prime factors are 2, 7, 11, 13. So, the product of all prime factors of 2002 would be 2 x 7 x 11 x 13 = 2002.

Factors of 2002 are 1, 2, 7, 11, 13, 14, 22, 26, 77, 91, 143, 154, 182, 286, 1001, 2002.

Factors of 2002 in pair are (1,2002), (2,1001), (7,286), (11,182), (13,154), (14,143), (22,91), (26,77).

Prime factorization of 2002 is 2 x 7 x 11 x 13. Factors of 2002 in pair can be written as (1,2002), (2,1001), (7,286), (11,182), (13,154), (14,143), (22,91), (26,77).

Smallest prime factor of 2002 is 2.

Largest prime factor of 2002 is 13.