Factors of 4900 in pair are (1, 4900) , (2, 2450) , (4, 1225) , (5, 980) , (7, 700) , (10, 490) , (14, 350) , (20, 245) , (25, 196) , (28, 175) , (35, 140) , (49, 100) , (50, 98) and (70, 70)

How to find factors of a number in pair

Steps to find factors of 4900 in pair

Example: Find factors of 4900 in pair

Factor Pair Pair Factorization
1 and 4900 1 x 4900 = 4900
2 and 2450 2 x 2450 = 4900
4 and 1225 4 x 1225 = 4900
5 and 980 5 x 980 = 4900
7 and 700 7 x 700 = 4900
10 and 490 10 x 490 = 4900
14 and 350 14 x 350 = 4900
20 and 245 20 x 245 = 4900
25 and 196 25 x 196 = 4900
28 and 175 28 x 175 = 4900
35 and 140 35 x 140 = 4900
49 and 100 49 x 100 = 4900
50 and 98 50 x 98 = 4900
70 and 70 70 x 70 = 4900

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 4900. They are called negative pair factors.

Hence, the negative pairs of 4900 would be ( -1 , -4900 ) .

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 4900 are 1 , 2 , 4 , 5 , 7 , 10 , 14 , 20 , 25 , 28 , 35 , 49 , 50 , 70 , 98 , 100 , 140 , 175 , 196 , 245 , 350 , 490 , 700 , 980 , 1225 , 2450 , 4900. So, factors of 4900 in pair are (1,4900), (2,2450), (4,1225), (5,980), (7,700), (10,490), (14,350), (20,245), (25,196), (28,175), (35,140), (49,100), (50,98), (70,70).

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. 4900 is a factor of itself.
  • 1 is a factor of every number. Eg. 1 is a factor of 4900.
  • Every number is a factor of zero (0), since 4900 x 0 = 0.
  • 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, 4, 5, 7, 10, 14, 20, 25, 28, 35, 49, 50, 70, 98, 100, 140, 175, 196, 245, 350, 490, 700, 980, 1225, 2450, 4900 are exact divisors of 4900.
  • Factors of 4900 are 1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 49, 50, 70, 98, 100, 140, 175, 196, 245, 350, 490, 700, 980, 1225, 2450, 4900. Each factor divides 4900 without leaving a remainder.
  • Every factor of a number is less than or equal to the number, eg. 1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 49, 50, 70, 98, 100, 140, 175, 196, 245, 350, 490, 700, 980, 1225, 2450, 4900 are all less than or equal to 4900.

Steps to find Factors of 4900

  • Step 1. Find all the numbers that would divide 4900 without leaving any remainder. Starting with the number 1 upto 2450 (half of 4900). The number 1 and the number itself are always factors of the given number.
    4900 ÷ 1 : Remainder = 0
    4900 ÷ 2 : Remainder = 0
    4900 ÷ 4 : Remainder = 0
    4900 ÷ 5 : Remainder = 0
    4900 ÷ 7 : Remainder = 0
    4900 ÷ 10 : Remainder = 0
    4900 ÷ 14 : Remainder = 0
    4900 ÷ 20 : Remainder = 0
    4900 ÷ 25 : Remainder = 0
    4900 ÷ 28 : Remainder = 0
    4900 ÷ 35 : Remainder = 0
    4900 ÷ 49 : Remainder = 0
    4900 ÷ 50 : Remainder = 0
    4900 ÷ 70 : Remainder = 0
    4900 ÷ 98 : Remainder = 0
    4900 ÷ 100 : Remainder = 0
    4900 ÷ 140 : Remainder = 0
    4900 ÷ 175 : Remainder = 0
    4900 ÷ 196 : Remainder = 0
    4900 ÷ 245 : Remainder = 0
    4900 ÷ 350 : Remainder = 0
    4900 ÷ 490 : Remainder = 0
    4900 ÷ 700 : Remainder = 0
    4900 ÷ 980 : Remainder = 0
    4900 ÷ 1225 : Remainder = 0
    4900 ÷ 2450 : Remainder = 0
    4900 ÷ 4900 : Remainder = 0

Hence, Factors of 4900 are 1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 49, 50, 70, 98, 100, 140, 175, 196, 245, 350, 490, 700, 980, 1225, 2450, and 4900

Frequently Asked Questions

  • Is 4900 a composite number?

    Yes 4900 is a composite number.

  • Is 4900 a prime number?

    No 4900 is not a prime number.

  • Write five multiples of 4900.

    Five multiples of 4900 are 9800, 14700, 19600, 24500, 29400.

  • Write all odd factors of 4900?

    The factors of 4900 are 1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 49, 50, 70, 98, 100, 140, 175, 196, 245, 350, 490, 700, 980, 1225, 2450, 4900.
    Odd factors of 4900 are 1 , 5 , 7 , 25 , 35 , 49 , 175 , 245 , 1225.

  • What is the mean of all prime factors of 4900?

    Factors of 4900 are 1 , 2 , 4 , 5 , 7 , 10 , 14 , 20 , 25 , 28 , 35 , 49 , 50 , 70 , 98 , 100 , 140 , 175 , 196 , 245 , 350 , 490 , 700 , 980 , 1225 , 2450 , 4900. Prime factors of 4900 are 2 , 2 , 5 , 5 , 7 , 7. Therefore mean of prime factors of 4900 is (2 + 2 + 5 + 5 + 7 + 7) / 6 = 4.67.

Examples of Factors

Rustom has been assigned the following tasks by the teacher:
- Finding out all positive factors of 4900.
- Writing all prime factors of 4900.
- Writing all the possible factors of 4900 in pair.
Help him in writing all these.

Positive factors of 4900 are 1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 49, 50, 70, 98, 100, 140, 175, 196, 245, 350, 490, 700, 980, 1225, 2450, 4900.
Prime factors of 4900 are 2, 2, 5, 5, 7, 7.
Factors of 4900 in pair are (1,4900), (2,2450), (4,1225), (5,980), (7,700), (10,490), (14,350), (20,245), (25,196), (28,175), (35,140), (49,100), (50,98), (70,70).

What are the pair factors of 4900?

Factors of 4900 are 1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 49, 50, 70, 98, 100, 140, 175, 196, 245, 350, 490, 700, 980, 1225, 2450, 4900. Hence, the factors of 4900 in pair are (1,4900), (2,2450), (4,1225), (5,980), (7,700), (10,490), (14,350), (20,245), (25,196), (28,175), (35,140), (49,100), (50,98), (70,70).

Can you help Sammy list the factors of 4900 and also find the factor pairs?

Factors of 4900 are 1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 49, 50, 70, 98, 100, 140, 175, 196, 245, 350, 490, 700, 980, 1225, 2450, 4900.
Factors of 4900 in pair are (1,4900), (2,2450), (4,1225), (5,980), (7,700), (10,490), (14,350), (20,245), (25,196), (28,175), (35,140), (49,100), (50,98), (70,70).

The area of a rectangle is 4900 square meters. List all the possible combinations possible for length and breadth in which a designer can design out all the combinations.

For the possible combinations possible for length and breadth in which a designer can design out all the rectangles can be calculated by calculating the factors of 4900 in pair. So, the possible combinations (1,4900), (2,2450), (4,1225), (5,980), (7,700), (10,490), (14,350), (20,245), (25,196), (28,175), (35,140), (49,100), (50,98), (70,70).

Help Diji in finding factors of 4900 by Prime Factorization method and then sorting factors of 4900 in pairs.

Prime factorization of 4900 is 2 x 2 x 5 x 5 x 7 x 7. Factors of 4900 in pair can be written as (1,4900), (2,2450), (4,1225), (5,980), (7,700), (10,490), (14,350), (20,245), (25,196), (28,175), (35,140), (49,100), (50,98), (70,70).

Write the smallest prime factor of 4900.

Smallest prime factor of 4900 is 2.

Write the largest prime factor of 4900.

Largest prime factor of 4900 is 7.

Diji wants to write all the negative factors of 4900. Can you help Diji in doing the same?

Negative factors of 4900 are -1, -2, -4, -5, -7, -10, -14, -20, -25, -28, -35, -49, -50, -70, -98, -100, -140, -175, -196, -245, -350, -490, -700, -980, -1225, -2450, -4900.