Factors of 210 in pair are (1, 210) , (2, 105) , (3, 70) , (5, 42) , (6, 35) , (7, 30) , (10, 21) and (14, 15)

How to find factors of a number in pair

Steps to find factors of 210 in pair

Example: Find factors of 210 in pair

Factor Pair Pair Factorization
1 and 210 1 x 210 = 210
2 and 105 2 x 105 = 210
3 and 70 3 x 70 = 210
5 and 42 5 x 42 = 210
6 and 35 6 x 35 = 210
7 and 30 7 x 30 = 210
10 and 21 10 x 21 = 210
14 and 15 14 x 15 = 210

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 210. They are called negative pair factors.

Hence, the negative pairs of 210 would be ( -1 , -210 ) .

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 210 are 1 , 2 , 3 , 5 , 6 , 7 , 10 , 14 , 15 , 21 , 30 , 35 , 42 , 70 , 105 , 210. So, factors of 210 in pair are (1,210), (2,105), (3,70), (5,42), (6,35), (7,30), (10,21), (14,15).

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. 210 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, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210 are exact divisors of 210.
  • 1 is a factor of every number. Eg. 1 is a factor of 210.
  • Every number is a factor of zero (0), since 210 x 0 = 0.

Steps to find Factors of 210

  • Step 1. Find all the numbers that would divide 210 without leaving any remainder. Starting with the number 1 upto 105 (half of 210). The number 1 and the number itself are always factors of the given number.
    210 ÷ 1 : Remainder = 0
    210 ÷ 2 : Remainder = 0
    210 ÷ 3 : Remainder = 0
    210 ÷ 5 : Remainder = 0
    210 ÷ 6 : Remainder = 0
    210 ÷ 7 : Remainder = 0
    210 ÷ 10 : Remainder = 0
    210 ÷ 14 : Remainder = 0
    210 ÷ 15 : Remainder = 0
    210 ÷ 21 : Remainder = 0
    210 ÷ 30 : Remainder = 0
    210 ÷ 35 : Remainder = 0
    210 ÷ 42 : Remainder = 0
    210 ÷ 70 : Remainder = 0
    210 ÷ 105 : Remainder = 0
    210 ÷ 210 : Remainder = 0

Hence, Factors of 210 are 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, and 210

Frequently Asked Questions

  • Is 210 a composite number?

    Yes 210 is a composite number.

  • Is 210 a prime number?

    No 210 is not a prime number.

  • What is the mean of factors of 210?

    Factors of 210 are 1 , 2 , 3 , 5 , 6 , 7 , 10 , 14 , 15 , 21 , 30 , 35 , 42 , 70 , 105 , 210. therefore mean of factors of 210 is (1 + 2 + 3 + 5 + 6 + 7 + 10 + 14 + 15 + 21 + 30 + 35 + 42 + 70 + 105 + 210) / 16 = 36.00.

  • 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.

Examples of Factors

Ariel has been asked to write all factor pairs of 210 but she is finding it difficult. Can you help her find out?

Factors of 210 are 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210. So, factors of 210 in pair are (1,210), (2,105), (3,70), (5,42), (6,35), (7,30), (10,21), (14,15).

Sammy wants to write all the negative factors of 210 in pair, but don't know how to start. Help Sammy in writing all the factor pairs.

Negative factors of 210 are -1, -2, -3, -5, -6, -7, -10, -14, -15, -21, -30, -35, -42, -70, -105, -210. Hence, factors of 210 in pair are (-1,-210), (-2,-105), (-3,-70), (-5,-42), (-6,-35), (-7,-30), (-10,-21), (-14,-15).

Help Deep in writing the positive factors of 210 in pair and negative factor of 210 in pair.

Factors of 210 are 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210. Positive factors of 210 in pair are (1,210), (2,105), (3,70), (5,42), (6,35), (7,30), (10,21), (14,15). Negative factors of 210 in pair are (-1,-210), (-2,-105), (-3,-70), (-5,-42), (-6,-35), (-7,-30), (-10,-21), (-14,-15).

Find the product of all prime factors of 210.

Factors of 210 are 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210. Prime factors are 2, 3, 5, 7. So, the product of all prime factors of 210 would be 2 x 3 x 5 x 7 = 210.

Can you help Sammy list the factors of 210 and also find the factor pairs?

Factors of 210 are 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210.
Factors of 210 in pair are (1,210), (2,105), (3,70), (5,42), (6,35), (7,30), (10,21), (14,15).

Help Diji in finding factors of 210 by Prime Factorization method and then sorting factors of 210 in pairs.

Prime factorization of 210 is 2 x 3 x 5 x 7. Factors of 210 in pair can be written as (1,210), (2,105), (3,70), (5,42), (6,35), (7,30), (10,21), (14,15).

Write the smallest prime factor of 210.

Smallest prime factor of 210 is 2.

Write the largest prime factor of 210.

Largest prime factor of 210 is 7.