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

How to find factors of a number in pair

Steps to find factors of 2002 in pair

Example: Find factors of 2002 in pair

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 ) .

How do you define factor pairs of a number?

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).

How do you explain factors?

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.

Properties of Factors

  • 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.

Steps to find Factors of 2002

  • 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 = 0
    2002 ÷ 2 : Remainder = 0
    2002 ÷ 7 : Remainder = 0
    2002 ÷ 11 : Remainder = 0
    2002 ÷ 13 : Remainder = 0
    2002 ÷ 14 : Remainder = 0
    2002 ÷ 22 : Remainder = 0
    2002 ÷ 26 : Remainder = 0
    2002 ÷ 77 : Remainder = 0
    2002 ÷ 91 : Remainder = 0
    2002 ÷ 143 : Remainder = 0
    2002 ÷ 154 : Remainder = 0
    2002 ÷ 182 : Remainder = 0
    2002 ÷ 286 : Remainder = 0
    2002 ÷ 1001 : Remainder = 0
    2002 ÷ 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

Frequently Asked Questions

  • 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.

Examples of Factors

Ariel has been asked to write all factor pairs of 2002 but she is finding it difficult. Can you help her find out?

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).

Sammy wants to write all the negative factors of 2002 in pair, but don't know how to start. Help Sammy in writing all the factor pairs.

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).

Help Deep in writing the positive factors of 2002 in pair and negative factor of 2002 in pair.

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).

Find the product 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 are 2, 7, 11, 13. So, the product of all prime factors of 2002 would be 2 x 7 x 11 x 13 = 2002.

Can you help Sammy list the factors of 2002 and also find the factor pairs?

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).

Help Diji in finding factors of 2002 by Prime Factorization method and then sorting factors of 2002 in pairs.

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).

Write the smallest prime factor of 2002.

Smallest prime factor of 2002 is 2.

Write the largest prime factor of 2002.

Largest prime factor of 2002 is 13.