Factors of 588 in pair are (1, 588) , (2, 294) , (3, 196) , (4, 147) , (6, 98) , (7, 84) , (12, 49) , (14, 42) and (21, 28)

How to find factors of a number in pair

Steps to find factors of 588 in pair

Example: Find factors of 588 in pair

Factor Pair Pair Factorization
1 and 588 1 x 588 = 588
2 and 294 2 x 294 = 588
3 and 196 3 x 196 = 588
4 and 147 4 x 147 = 588
6 and 98 6 x 98 = 588
7 and 84 7 x 84 = 588
12 and 49 12 x 49 = 588
14 and 42 14 x 42 = 588
21 and 28 21 x 28 = 588

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 588. They are called negative pair factors.

Hence, the negative pairs of 588 would be ( -1 , -588 ) .

What does factor pairs in mathematics mean?

In mathematics, factor pair of a number are all those possible combination which when multiplied together give the original number in return. Every natural number is a product of atleast one factor pair. Eg- Factors of 588 are 1 , 2 , 3 , 4 , 6 , 7 , 12 , 14 , 21 , 28 , 42 , 49 , 84 , 98 , 147 , 196 , 294 , 588. So, factors of 588 in pair are (1,588), (2,294), (3,196), (4,147), (6,98), (7,84), (12,49), (14,42), (21,28).

What is the definition of factors?

In mathematics, factors are number, algebraic expressions which when multiplied together produce desired product. A factor of a number can be positive or negative.

Properties of Factors

  • Each number is a factor of itself. Eg. 588 is a factor of itself.
  • 1 is a factor of every number. Eg. 1 is a factor of 588.
  • Every number is a factor of zero (0), since 588 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, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588 are exact divisors of 588.
  • Factors of 588 are 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588. Each factor divides 588 without leaving a remainder.
  • Every factor of a number is less than or equal to the number, eg. 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588 are all less than or equal to 588.

Steps to find Factors of 588

  • Step 1. Find all the numbers that would divide 588 without leaving any remainder. Starting with the number 1 upto 294 (half of 588). The number 1 and the number itself are always factors of the given number.
    588 ÷ 1 : Remainder = 0
    588 ÷ 2 : Remainder = 0
    588 ÷ 3 : Remainder = 0
    588 ÷ 4 : Remainder = 0
    588 ÷ 6 : Remainder = 0
    588 ÷ 7 : Remainder = 0
    588 ÷ 12 : Remainder = 0
    588 ÷ 14 : Remainder = 0
    588 ÷ 21 : Remainder = 0
    588 ÷ 28 : Remainder = 0
    588 ÷ 42 : Remainder = 0
    588 ÷ 49 : Remainder = 0
    588 ÷ 84 : Remainder = 0
    588 ÷ 98 : Remainder = 0
    588 ÷ 147 : Remainder = 0
    588 ÷ 196 : Remainder = 0
    588 ÷ 294 : Remainder = 0
    588 ÷ 588 : Remainder = 0

Hence, Factors of 588 are 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, and 588

Frequently Asked Questions

  • Is 588 a composite number?

    Yes 588 is a composite number.

  • Is 588 a prime number?

    No 588 is not a prime number.

  • What is the mean of factors of 588?

    Factors of 588 are 1 , 2 , 3 , 4 , 6 , 7 , 12 , 14 , 21 , 28 , 42 , 49 , 84 , 98 , 147 , 196 , 294 , 588. therefore mean of factors of 588 is (1 + 2 + 3 + 4 + 6 + 7 + 12 + 14 + 21 + 28 + 42 + 49 + 84 + 98 + 147 + 196 + 294 + 588) / 18 = 88.67.

  • What do you mean by proper divisors?

    A number x is said to be the proper divisor of y if it divides y completely, given that x is smaller than y.

  • What do you mean by improper divisors?

    An improper divisor of a number is the number itself apart from this any divisor of a given number is a proper divisor.

Examples of Factors

Rustom has been assigned the following tasks by the teacher:
- Finding out all positive factors of 588.
- Writing all prime factors of 588.
- Writing all the possible factors of 588 in pair.
Help him in writing all these.

Positive factors of 588 are 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588.
Prime factors of 588 are 2, 2, 3, 7, 7.
Factors of 588 in pair are (1,588), (2,294), (3,196), (4,147), (6,98), (7,84), (12,49), (14,42), (21,28).

What are the pair factors of 588?

Factors of 588 are 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588. Hence, the factors of 588 in pair are (1,588), (2,294), (3,196), (4,147), (6,98), (7,84), (12,49), (14,42), (21,28).

Can you help Sammy list the factors of 588 and also find the factor pairs?

Factors of 588 are 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588.
Factors of 588 in pair are (1,588), (2,294), (3,196), (4,147), (6,98), (7,84), (12,49), (14,42), (21,28).

The area of a rectangle is 588 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 588 in pair. So, the possible combinations (1,588), (2,294), (3,196), (4,147), (6,98), (7,84), (12,49), (14,42), (21,28).

Help Diji in finding factors of 588 by Prime Factorization method and then sorting factors of 588 in pairs.

Prime factorization of 588 is 2 x 2 x 3 x 7 x 7. Factors of 588 in pair can be written as (1,588), (2,294), (3,196), (4,147), (6,98), (7,84), (12,49), (14,42), (21,28).

Write the smallest prime factor of 588.

Smallest prime factor of 588 is 2.

Write the largest prime factor of 588.

Largest prime factor of 588 is 7.

Diji wants to write all the negative factors of 588. Can you help Diji in doing the same?

Negative factors of 588 are -1, -2, -3, -4, -6, -7, -12, -14, -21, -28, -42, -49, -84, -98, -147, -196, -294, -588.