Factors of 2170 in pair are (1, 2170) , (2, 1085) , (5, 434) , (7, 310) , (10, 217) , (14, 155) , (31, 70) and (35, 62)

How to find factors of a number in pair

Steps to find factors of 2170 in pair

Example: Find factors of 2170 in pair

Factor Pair Pair Factorization
1 and 2170 1 x 2170 = 2170
2 and 1085 2 x 1085 = 2170
5 and 434 5 x 434 = 2170
7 and 310 7 x 310 = 2170
10 and 217 10 x 217 = 2170
14 and 155 14 x 155 = 2170
31 and 70 31 x 70 = 2170
35 and 62 35 x 62 = 2170

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 2170. They are called negative pair factors.

Hence, the negative pairs of 2170 would be ( -1 , -2170 ) .

Definition of factor pairs?

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 2170 are 1 , 2 , 5 , 7 , 10 , 14 , 31 , 35 , 62 , 70 , 155 , 217 , 310 , 434 , 1085 , 2170. So, factors of 2170 in pair are (1,2170), (2,1085), (5,434), (7,310), (10,217), (14,155), (31,70), (35,62).

What are factors?

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.

Properties of Factors

  • Each number is a factor of itself. Eg. 2170 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, 5, 7, 10, 14, 31, 35, 62, 70, 155, 217, 310, 434, 1085, 2170 are exact divisors of 2170.
  • 1 is a factor of every number. Eg. 1 is a factor of 2170.
  • Every number is a factor of zero (0), since 2170 x 0 = 0.

Steps to find Factors of 2170

  • Step 1. Find all the numbers that would divide 2170 without leaving any remainder. Starting with the number 1 upto 1085 (half of 2170). The number 1 and the number itself are always factors of the given number.
    2170 ÷ 1 : Remainder = 0
    2170 ÷ 2 : Remainder = 0
    2170 ÷ 5 : Remainder = 0
    2170 ÷ 7 : Remainder = 0
    2170 ÷ 10 : Remainder = 0
    2170 ÷ 14 : Remainder = 0
    2170 ÷ 31 : Remainder = 0
    2170 ÷ 35 : Remainder = 0
    2170 ÷ 62 : Remainder = 0
    2170 ÷ 70 : Remainder = 0
    2170 ÷ 155 : Remainder = 0
    2170 ÷ 217 : Remainder = 0
    2170 ÷ 310 : Remainder = 0
    2170 ÷ 434 : Remainder = 0
    2170 ÷ 1085 : Remainder = 0
    2170 ÷ 2170 : Remainder = 0

Hence, Factors of 2170 are 1, 2, 5, 7, 10, 14, 31, 35, 62, 70, 155, 217, 310, 434, 1085, and 2170

Frequently Asked Questions

  • Is 2170 a composite number?

    Yes 2170 is a composite number.

  • Is 2170 a prime number?

    No 2170 is not a prime number.

  • Write five multiples of 2170.

    Five multiples of 2170 are 4340, 6510, 8680, 10850, 13020.

  • Write all odd factors of 2170?

    The factors of 2170 are 1, 2, 5, 7, 10, 14, 31, 35, 62, 70, 155, 217, 310, 434, 1085, 2170.
    Odd factors of 2170 are 1 , 5 , 7 , 31 , 35 , 155 , 217 , 1085.

  • What is the mean of all prime factors of 2170?

    Factors of 2170 are 1 , 2 , 5 , 7 , 10 , 14 , 31 , 35 , 62 , 70 , 155 , 217 , 310 , 434 , 1085 , 2170. Prime factors of 2170 are 2 , 5 , 7 , 31. Therefore mean of prime factors of 2170 is (2 + 5 + 7 + 31) / 4 = 11.25.

Examples of Factors

Ariel has been asked to write all factor pairs of 2170 but she is finding it difficult. Can you help her find out?

Factors of 2170 are 1, 2, 5, 7, 10, 14, 31, 35, 62, 70, 155, 217, 310, 434, 1085, 2170. So, factors of 2170 in pair are (1,2170), (2,1085), (5,434), (7,310), (10,217), (14,155), (31,70), (35,62).

Sammy wants to write all the negative factors of 2170 in pair, but don't know how to start. Help Sammy in writing all the factor pairs.

Negative factors of 2170 are -1, -2, -5, -7, -10, -14, -31, -35, -62, -70, -155, -217, -310, -434, -1085, -2170. Hence, factors of 2170 in pair are (-1,-2170), (-2,-1085), (-5,-434), (-7,-310), (-10,-217), (-14,-155), (-31,-70), (-35,-62).

Help Deep in writing the positive factors of 2170 in pair and negative factor of 2170 in pair.

Factors of 2170 are 1, 2, 5, 7, 10, 14, 31, 35, 62, 70, 155, 217, 310, 434, 1085, 2170. Positive factors of 2170 in pair are (1,2170), (2,1085), (5,434), (7,310), (10,217), (14,155), (31,70), (35,62). Negative factors of 2170 in pair are (-1,-2170), (-2,-1085), (-5,-434), (-7,-310), (-10,-217), (-14,-155), (-31,-70), (-35,-62).

Find the product of all prime factors of 2170.

Factors of 2170 are 1, 2, 5, 7, 10, 14, 31, 35, 62, 70, 155, 217, 310, 434, 1085, 2170. Prime factors are 2, 5, 7, 31. So, the product of all prime factors of 2170 would be 2 x 5 x 7 x 31 = 2170.

Can you help Sammy list the factors of 2170 and also find the factor pairs?

Factors of 2170 are 1, 2, 5, 7, 10, 14, 31, 35, 62, 70, 155, 217, 310, 434, 1085, 2170.
Factors of 2170 in pair are (1,2170), (2,1085), (5,434), (7,310), (10,217), (14,155), (31,70), (35,62).

Help Diji in finding factors of 2170 by Prime Factorization method and then sorting factors of 2170 in pairs.

Prime factorization of 2170 is 2 x 5 x 7 x 31. Factors of 2170 in pair can be written as (1,2170), (2,1085), (5,434), (7,310), (10,217), (14,155), (31,70), (35,62).

Write the smallest prime factor of 2170.

Smallest prime factor of 2170 is 2.

Write the largest prime factor of 2170.

Largest prime factor of 2170 is 31.