Factors of 850 in pair are (1, 850) , (2, 425) , (5, 170) , (10, 85) , (17, 50) and (25, 34)

How to find factors of a number in pair

Steps to find factors of 850 in pair

Example: Find factors of 850 in pair

Factor Pair Pair Factorization
1 and 850 1 x 850 = 850
2 and 425 2 x 425 = 850
5 and 170 5 x 170 = 850
10 and 85 10 x 85 = 850
17 and 50 17 x 50 = 850
25 and 34 25 x 34 = 850

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 850. They are called negative pair factors.

Hence, the negative pairs of 850 would be ( -1 , -850 ) .

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 850 are 1 , 2 , 5 , 10 , 17 , 25 , 34 , 50 , 85 , 170 , 425 , 850. So, factors of 850 in pair are (1,850), (2,425), (5,170), (10,85), (17,50), (25,34).

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. 850 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, 10, 17, 25, 34, 50, 85, 170, 425, 850 are exact divisors of 850.
  • 1 is a factor of every number. Eg. 1 is a factor of 850.
  • Every number is a factor of zero (0), since 850 x 0 = 0.

Steps to find Factors of 850

  • Step 1. Find all the numbers that would divide 850 without leaving any remainder. Starting with the number 1 upto 425 (half of 850). The number 1 and the number itself are always factors of the given number.
    850 ÷ 1 : Remainder = 0
    850 ÷ 2 : Remainder = 0
    850 ÷ 5 : Remainder = 0
    850 ÷ 10 : Remainder = 0
    850 ÷ 17 : Remainder = 0
    850 ÷ 25 : Remainder = 0
    850 ÷ 34 : Remainder = 0
    850 ÷ 50 : Remainder = 0
    850 ÷ 85 : Remainder = 0
    850 ÷ 170 : Remainder = 0
    850 ÷ 425 : Remainder = 0
    850 ÷ 850 : Remainder = 0

Hence, Factors of 850 are 1, 2, 5, 10, 17, 25, 34, 50, 85, 170, 425, and 850

Frequently Asked Questions

  • Is 850 a composite number?

    Yes 850 is a composite number.

  • Is 850 a prime number?

    No 850 is not a prime number.

  • Write five multiples of 850.

    Five multiples of 850 are 1700, 2550, 3400, 4250, 5100.

  • Write all odd factors of 850?

    The factors of 850 are 1, 2, 5, 10, 17, 25, 34, 50, 85, 170, 425, 850.
    Odd factors of 850 are 1 , 5 , 17 , 25 , 85 , 425.

  • What is the mean of all prime factors of 850?

    Factors of 850 are 1 , 2 , 5 , 10 , 17 , 25 , 34 , 50 , 85 , 170 , 425 , 850. Prime factors of 850 are 2 , 5 , 5 , 17. Therefore mean of prime factors of 850 is (2 + 5 + 5 + 17) / 4 = 7.25.

Examples of Factors

Ariel has been asked to write all factor pairs of 850 but she is finding it difficult. Can you help her find out?

Factors of 850 are 1, 2, 5, 10, 17, 25, 34, 50, 85, 170, 425, 850. So, factors of 850 in pair are (1,850), (2,425), (5,170), (10,85), (17,50), (25,34).

Sammy wants to write all the negative factors of 850 in pair, but don't know how to start. Help Sammy in writing all the factor pairs.

Negative factors of 850 are -1, -2, -5, -10, -17, -25, -34, -50, -85, -170, -425, -850. Hence, factors of 850 in pair are (-1,-850), (-2,-425), (-5,-170), (-10,-85), (-17,-50), (-25,-34).

Help Deep in writing the positive factors of 850 in pair and negative factor of 850 in pair.

Factors of 850 are 1, 2, 5, 10, 17, 25, 34, 50, 85, 170, 425, 850. Positive factors of 850 in pair are (1,850), (2,425), (5,170), (10,85), (17,50), (25,34). Negative factors of 850 in pair are (-1,-850), (-2,-425), (-5,-170), (-10,-85), (-17,-50), (-25,-34).

Find the product of all prime factors of 850.

Factors of 850 are 1, 2, 5, 10, 17, 25, 34, 50, 85, 170, 425, 850. Prime factors are 2, 5, 5, 17. So, the product of all prime factors of 850 would be 2 x 5 x 5 x 17 = 850.

Can you help Sammy list the factors of 850 and also find the factor pairs?

Factors of 850 are 1, 2, 5, 10, 17, 25, 34, 50, 85, 170, 425, 850.
Factors of 850 in pair are (1,850), (2,425), (5,170), (10,85), (17,50), (25,34).

Help Diji in finding factors of 850 by Prime Factorization method and then sorting factors of 850 in pairs.

Prime factorization of 850 is 2 x 5 x 5 x 17. Factors of 850 in pair can be written as (1,850), (2,425), (5,170), (10,85), (17,50), (25,34).

Write the smallest prime factor of 850.

Smallest prime factor of 850 is 2.

Write the largest prime factor of 850.

Largest prime factor of 850 is 17.