Factors of 700 in pair are (1, 700) , (2, 350) , (4, 175) , (5, 140) , (7, 100) , (10, 70) , (14, 50) , (20, 35) and (25, 28)

How to find factors of a number in pair

Steps to find factors of 700 in pair

Example: Find factors of 700 in pair

Factor Pair Pair Factorization
1 and 700 1 x 700 = 700
2 and 350 2 x 350 = 700
4 and 175 4 x 175 = 700
5 and 140 5 x 140 = 700
7 and 100 7 x 100 = 700
10 and 70 10 x 70 = 700
14 and 50 14 x 50 = 700
20 and 35 20 x 35 = 700
25 and 28 25 x 28 = 700

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 700. They are called negative pair factors.

Hence, the negative pairs of 700 would be ( -1 , -700 ) .

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 700 are 1 , 2 , 4 , 5 , 7 , 10 , 14 , 20 , 25 , 28 , 35 , 50 , 70 , 100 , 140 , 175 , 350 , 700. So, factors of 700 in pair are (1,700), (2,350), (4,175), (5,140), (7,100), (10,70), (14,50), (20,35), (25,28).

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. 700 is a factor of itself.
  • 1 is a factor of every number. Eg. 1 is a factor of 700.
  • Every number is a factor of zero (0), since 700 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, 50, 70, 100, 140, 175, 350, 700 are exact divisors of 700.
  • Factors of 700 are 1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700. Each factor divides 700 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, 50, 70, 100, 140, 175, 350, 700 are all less than or equal to 700.

Steps to find Factors of 700

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

Hence, Factors of 700 are 1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, and 700

Frequently Asked Questions

  • Is 700 a composite number?

    Yes 700 is a composite number.

  • Is 700 a prime number?

    No 700 is not a prime number.

  • Write five multiples of 700.

    Five multiples of 700 are 1400, 2100, 2800, 3500, 4200.

  • Write all odd factors of 700?

    The factors of 700 are 1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700.
    Odd factors of 700 are 1 , 5 , 7 , 25 , 35 , 175.

  • What is the mean of all prime factors of 700?

    Factors of 700 are 1 , 2 , 4 , 5 , 7 , 10 , 14 , 20 , 25 , 28 , 35 , 50 , 70 , 100 , 140 , 175 , 350 , 700. Prime factors of 700 are 2 , 2 , 5 , 5 , 7. Therefore mean of prime factors of 700 is (2 + 2 + 5 + 5 + 7) / 5 = 4.20.

Examples of Factors

Rustom has been assigned the following tasks by the teacher:
- Finding out all positive factors of 700.
- Writing all prime factors of 700.
- Writing all the possible factors of 700 in pair.
Help him in writing all these.

Positive factors of 700 are 1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700.
Prime factors of 700 are 2, 2, 5, 5, 7.
Factors of 700 in pair are (1,700), (2,350), (4,175), (5,140), (7,100), (10,70), (14,50), (20,35), (25,28).

What are the pair factors of 700?

Factors of 700 are 1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700. Hence, the factors of 700 in pair are (1,700), (2,350), (4,175), (5,140), (7,100), (10,70), (14,50), (20,35), (25,28).

Can you help Sammy list the factors of 700 and also find the factor pairs?

Factors of 700 are 1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700.
Factors of 700 in pair are (1,700), (2,350), (4,175), (5,140), (7,100), (10,70), (14,50), (20,35), (25,28).

The area of a rectangle is 700 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 700 in pair. So, the possible combinations (1,700), (2,350), (4,175), (5,140), (7,100), (10,70), (14,50), (20,35), (25,28).

Help Diji in finding factors of 700 by Prime Factorization method and then sorting factors of 700 in pairs.

Prime factorization of 700 is 2 x 2 x 5 x 5 x 7. Factors of 700 in pair can be written as (1,700), (2,350), (4,175), (5,140), (7,100), (10,70), (14,50), (20,35), (25,28).

Write the smallest prime factor of 700.

Smallest prime factor of 700 is 2.

Write the largest prime factor of 700.

Largest prime factor of 700 is 7.

Diji wants to write all the negative factors of 700. Can you help Diji in doing the same?

Negative factors of 700 are -1, -2, -4, -5, -7, -10, -14, -20, -25, -28, -35, -50, -70, -100, -140, -175, -350, -700.