Factors of 650 in pair are (1, 650) , (2, 325) , (5, 130) , (10, 65) , (13, 50) and (25, 26)

How to find factors of a number in pair

Steps to find factors of 650 in pair

Example: Find factors of 650 in pair

Factor Pair Pair Factorization
1 and 650 1 x 650 = 650
2 and 325 2 x 325 = 650
5 and 130 5 x 130 = 650
10 and 65 10 x 65 = 650
13 and 50 13 x 50 = 650
25 and 26 25 x 26 = 650

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 650. They are called negative pair factors.

Hence, the negative pairs of 650 would be ( -1 , -650 ) .

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 650 are 1 , 2 , 5 , 10 , 13 , 25 , 26 , 50 , 65 , 130 , 325 , 650. So, factors of 650 in pair are (1,650), (2,325), (5,130), (10,65), (13,50), (25,26).

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. 650 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, 13, 25, 26, 50, 65, 130, 325, 650 are exact divisors of 650.
  • 1 is a factor of every number. Eg. 1 is a factor of 650.
  • Every number is a factor of zero (0), since 650 x 0 = 0.

Steps to find Factors of 650

  • Step 1. Find all the numbers that would divide 650 without leaving any remainder. Starting with the number 1 upto 325 (half of 650). The number 1 and the number itself are always factors of the given number.
    650 ÷ 1 : Remainder = 0
    650 ÷ 2 : Remainder = 0
    650 ÷ 5 : Remainder = 0
    650 ÷ 10 : Remainder = 0
    650 ÷ 13 : Remainder = 0
    650 ÷ 25 : Remainder = 0
    650 ÷ 26 : Remainder = 0
    650 ÷ 50 : Remainder = 0
    650 ÷ 65 : Remainder = 0
    650 ÷ 130 : Remainder = 0
    650 ÷ 325 : Remainder = 0
    650 ÷ 650 : Remainder = 0

Hence, Factors of 650 are 1, 2, 5, 10, 13, 25, 26, 50, 65, 130, 325, and 650

Frequently Asked Questions

  • Is 650 a composite number?

    Yes 650 is a composite number.

  • Is 650 a prime number?

    No 650 is not a prime number.

  • Is 650 a perfect square?

    No 650 is not a perfect square.

  • Write five multiples of 650.

    Five multiples of 650 are 1300, 1950, 2600, 3250, 3900.

  • Write all odd factors of 650?

    The factors of 650 are 1, 2, 5, 10, 13, 25, 26, 50, 65, 130, 325, 650.
    Odd factors of 650 are 1 , 5 , 13 , 25 , 65 , 325.

Examples of Factors

Ariel has been asked to write all factor pairs of 650 but she is finding it difficult. Can you help her find out?

Factors of 650 are 1, 2, 5, 10, 13, 25, 26, 50, 65, 130, 325, 650. So, factors of 650 in pair are (1,650), (2,325), (5,130), (10,65), (13,50), (25,26).

Sammy wants to write all the negative factors of 650 in pair, but don't know how to start. Help Sammy in writing all the factor pairs.

Negative factors of 650 are -1, -2, -5, -10, -13, -25, -26, -50, -65, -130, -325, -650. Hence, factors of 650 in pair are (-1,-650), (-2,-325), (-5,-130), (-10,-65), (-13,-50), (-25,-26).

Help Deep in writing the positive factors of 650 in pair and negative factor of 650 in pair.

Factors of 650 are 1, 2, 5, 10, 13, 25, 26, 50, 65, 130, 325, 650. Positive factors of 650 in pair are (1,650), (2,325), (5,130), (10,65), (13,50), (25,26). Negative factors of 650 in pair are (-1,-650), (-2,-325), (-5,-130), (-10,-65), (-13,-50), (-25,-26).

Find the product of all prime factors of 650.

Factors of 650 are 1, 2, 5, 10, 13, 25, 26, 50, 65, 130, 325, 650. Prime factors are 2, 5, 5, 13. So, the product of all prime factors of 650 would be 2 x 5 x 5 x 13 = 650.

Can you help Sammy list the factors of 650 and also find the factor pairs?

Factors of 650 are 1, 2, 5, 10, 13, 25, 26, 50, 65, 130, 325, 650.
Factors of 650 in pair are (1,650), (2,325), (5,130), (10,65), (13,50), (25,26).

Help Diji in finding factors of 650 by Prime Factorization method and then sorting factors of 650 in pairs.

Prime factorization of 650 is 2 x 5 x 5 x 13. Factors of 650 in pair can be written as (1,650), (2,325), (5,130), (10,65), (13,50), (25,26).

Write the smallest prime factor of 650.

Smallest prime factor of 650 is 2.

Write the largest prime factor of 650.

Largest prime factor of 650 is 13.