Factors of 693 in pair are (1, 693) , (3, 231) , (7, 99) , (9, 77) , (11, 63) and (21, 33)

How to find factors of a number in pair

Steps to find factors of 693 in pair

Example: Find factors of 693 in pair

Factor Pair Pair Factorization
1 and 693 1 x 693 = 693
3 and 231 3 x 231 = 693
7 and 99 7 x 99 = 693
9 and 77 9 x 77 = 693
11 and 63 11 x 63 = 693
21 and 33 21 x 33 = 693

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 693. They are called negative pair factors.

Hence, the negative pairs of 693 would be ( -1 , -693 ) .

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 693 are 1 , 3 , 7 , 9 , 11 , 21 , 33 , 63 , 77 , 99 , 231 , 693. So, factors of 693 in pair are (1,693), (3,231), (7,99), (9,77), (11,63), (21,33).

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

  • Every factor of a number is an exact divisor of that number, example 1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 231, 693 are exact divisors of 693.
  • Every number other than 1 has at least two factors, namely the number itself and 1.
  • Each number is a factor of itself. Eg. 693 is a factor of itself.
  • 1 is a factor of every number. Eg. 1 is a factor of 693.

Steps to find Factors of 693

  • Step 1. Find all the numbers that would divide 693 without leaving any remainder. Starting with the number 1 upto 346 (half of 693). The number 1 and the number itself are always factors of the given number.
    693 ÷ 1 : Remainder = 0
    693 ÷ 3 : Remainder = 0
    693 ÷ 7 : Remainder = 0
    693 ÷ 9 : Remainder = 0
    693 ÷ 11 : Remainder = 0
    693 ÷ 21 : Remainder = 0
    693 ÷ 33 : Remainder = 0
    693 ÷ 63 : Remainder = 0
    693 ÷ 77 : Remainder = 0
    693 ÷ 99 : Remainder = 0
    693 ÷ 231 : Remainder = 0
    693 ÷ 693 : Remainder = 0

Hence, Factors of 693 are 1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 231, and 693

Frequently Asked Questions

  • Is 693 a composite number?

    Yes 693 is a composite number.

  • Is 693 a perfect square?

    No 693 is not a perfect square.

  • Write all odd factors of 693?

    The factors of 693 are 1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 231, 693.
    Odd factors of 693 are 1 , 3 , 7 , 9 , 11 , 21 , 33 , 63 , 77 , 99 , 231 , 693.

  • What is the mean of all prime factors of 693?

    Factors of 693 are 1 , 3 , 7 , 9 , 11 , 21 , 33 , 63 , 77 , 99 , 231 , 693. Prime factors of 693 are 3 , 3 , 7 , 11. Therefore mean of prime factors of 693 is (3 + 3 + 7 + 11) / 4 = 6.00.

  • 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.

Examples of Factors

Can you help Rubel in arranging 693 blocks in order to form a rectangle in all possible ways? For arranging 693 blocks in order to form a rectangle in all possible ways we need to find factors of 693 in pair.

Factors of 693 are 1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 231, 693. So, factors of 693 in pair are (1,693), (3,231), (7,99), (9,77), (11,63), (21,33).

Ariel has been asked to write all factor pairs of 693 but she is finding it difficult. Can you help her find out?

Factors of 693 are 1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 231, 693. So, factors of 693 in pair are (1,693), (3,231), (7,99), (9,77), (11,63), (21,33).

What are the pair factors of 693?

Factors of 693 are 1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 231, 693. Hence, the factors of 693 in pair are (1,693), (3,231), (7,99), (9,77), (11,63), (21,33).

Can you help Sammy list the factors of 693 and also find the factor pairs?

Factors of 693 are 1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 231, 693.
Factors of 693 in pair are (1,693), (3,231), (7,99), (9,77), (11,63), (21,33).

Help Diji in finding factors of 693 by Prime Factorization method and then sorting factors of 693 in pairs.

Prime factorization of 693 is 3 x 3 x 7 x 11. Factors of 693 in pair can be written as (1,693), (3,231), (7,99), (9,77), (11,63), (21,33).

Write the smallest prime factor of 693.

Smallest prime factor of 693 is 3.

Write the largest prime factor of 693.

Largest prime factor of 693 is 11.

Diji wants to write all the negative factors of 693. Can you help Diji in doing the same?

Negative factors of 693 are -1, -3, -7, -9, -11, -21, -33, -63, -77, -99, -231, -693.