Factors of 2450 in pair are (1, 2450) , (2, 1225) , (5, 490) , (7, 350) , (10, 245) , (14, 175) , (25, 98) , (35, 70) and (49, 50)

How to find factors of a number in pair

Steps to find factors of 2450 in pair

Example: Find factors of 2450 in pair

Factor Pair Pair Factorization
1 and 2450 1 x 2450 = 2450
2 and 1225 2 x 1225 = 2450
5 and 490 5 x 490 = 2450
7 and 350 7 x 350 = 2450
10 and 245 10 x 245 = 2450
14 and 175 14 x 175 = 2450
25 and 98 25 x 98 = 2450
35 and 70 35 x 70 = 2450
49 and 50 49 x 50 = 2450

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 2450. They are called negative pair factors.

Hence, the negative pairs of 2450 would be ( -1 , -2450 ) .

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 2450 are 1 , 2 , 5 , 7 , 10 , 14 , 25 , 35 , 49 , 50 , 70 , 98 , 175 , 245 , 350 , 490 , 1225 , 2450. So, factors of 2450 in pair are (1,2450), (2,1225), (5,490), (7,350), (10,245), (14,175), (25,98), (35,70), (49,50).

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. 2450 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, 25, 35, 49, 50, 70, 98, 175, 245, 350, 490, 1225, 2450 are exact divisors of 2450.
  • 1 is a factor of every number. Eg. 1 is a factor of 2450.
  • Every number is a factor of zero (0), since 2450 x 0 = 0.

Steps to find Factors of 2450

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

Hence, Factors of 2450 are 1, 2, 5, 7, 10, 14, 25, 35, 49, 50, 70, 98, 175, 245, 350, 490, 1225, and 2450

Frequently Asked Questions

  • Is 2450 a composite number?

    Yes 2450 is a composite number.

  • Is 2450 a prime number?

    No 2450 is not a prime number.

  • Is 2450 a perfect square?

    No 2450 is not a perfect square.

  • Write five multiples of 2450.

    Five multiples of 2450 are 4900, 7350, 9800, 12250, 14700.

  • Write all odd factors of 2450?

    The factors of 2450 are 1, 2, 5, 7, 10, 14, 25, 35, 49, 50, 70, 98, 175, 245, 350, 490, 1225, 2450.
    Odd factors of 2450 are 1 , 5 , 7 , 25 , 35 , 49 , 175 , 245 , 1225.

Examples of Factors

Ariel has been asked to write all factor pairs of 2450 but she is finding it difficult. Can you help her find out?

Factors of 2450 are 1, 2, 5, 7, 10, 14, 25, 35, 49, 50, 70, 98, 175, 245, 350, 490, 1225, 2450. So, factors of 2450 in pair are (1,2450), (2,1225), (5,490), (7,350), (10,245), (14,175), (25,98), (35,70), (49,50).

Sammy wants to write all the negative factors of 2450 in pair, but don't know how to start. Help Sammy in writing all the factor pairs.

Negative factors of 2450 are -1, -2, -5, -7, -10, -14, -25, -35, -49, -50, -70, -98, -175, -245, -350, -490, -1225, -2450. Hence, factors of 2450 in pair are (-1,-2450), (-2,-1225), (-5,-490), (-7,-350), (-10,-245), (-14,-175), (-25,-98), (-35,-70), (-49,-50).

Help Deep in writing the positive factors of 2450 in pair and negative factor of 2450 in pair.

Factors of 2450 are 1, 2, 5, 7, 10, 14, 25, 35, 49, 50, 70, 98, 175, 245, 350, 490, 1225, 2450. Positive factors of 2450 in pair are (1,2450), (2,1225), (5,490), (7,350), (10,245), (14,175), (25,98), (35,70), (49,50). Negative factors of 2450 in pair are (-1,-2450), (-2,-1225), (-5,-490), (-7,-350), (-10,-245), (-14,-175), (-25,-98), (-35,-70), (-49,-50).

Find the product of all prime factors of 2450.

Factors of 2450 are 1, 2, 5, 7, 10, 14, 25, 35, 49, 50, 70, 98, 175, 245, 350, 490, 1225, 2450. Prime factors are 2, 5, 5, 7, 7. So, the product of all prime factors of 2450 would be 2 x 5 x 5 x 7 x 7 = 2450.

Can you help Sammy list the factors of 2450 and also find the factor pairs?

Factors of 2450 are 1, 2, 5, 7, 10, 14, 25, 35, 49, 50, 70, 98, 175, 245, 350, 490, 1225, 2450.
Factors of 2450 in pair are (1,2450), (2,1225), (5,490), (7,350), (10,245), (14,175), (25,98), (35,70), (49,50).

Help Diji in finding factors of 2450 by Prime Factorization method and then sorting factors of 2450 in pairs.

Prime factorization of 2450 is 2 x 5 x 5 x 7 x 7. Factors of 2450 in pair can be written as (1,2450), (2,1225), (5,490), (7,350), (10,245), (14,175), (25,98), (35,70), (49,50).

Write the smallest prime factor of 2450.

Smallest prime factor of 2450 is 2.

Write the largest prime factor of 2450.

Largest prime factor of 2450 is 7.