Factors of 4725 in pair are (1, 4725) , (3, 1575) , (5, 945) , (7, 675) , (9, 525) , (15, 315) , (21, 225) , (25, 189) , (27, 175) , (35, 135) , (45, 105) and (63, 75)

How to find factors of a number in pair

Steps to find factors of 4725 in pair

Example: Find factors of 4725 in pair

Factor Pair Pair Factorization
1 and 4725 1 x 4725 = 4725
3 and 1575 3 x 1575 = 4725
5 and 945 5 x 945 = 4725
7 and 675 7 x 675 = 4725
9 and 525 9 x 525 = 4725
15 and 315 15 x 315 = 4725
21 and 225 21 x 225 = 4725
25 and 189 25 x 189 = 4725
27 and 175 27 x 175 = 4725
35 and 135 35 x 135 = 4725
45 and 105 45 x 105 = 4725
63 and 75 63 x 75 = 4725

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 4725. They are called negative pair factors.

Hence, the negative pairs of 4725 would be ( -1 , -4725 ) .

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 4725 are 1 , 3 , 5 , 7 , 9 , 15 , 21 , 25 , 27 , 35 , 45 , 63 , 75 , 105 , 135 , 175 , 189 , 225 , 315 , 525 , 675 , 945 , 1575 , 4725. So, factors of 4725 in pair are (1,4725), (3,1575), (5,945), (7,675), (9,525), (15,315), (21,225), (25,189), (27,175), (35,135), (45,105), (63,75).

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

  • Every factor of a number is an exact divisor of that number, example 1, 3, 5, 7, 9, 15, 21, 25, 27, 35, 45, 63, 75, 105, 135, 175, 189, 225, 315, 525, 675, 945, 1575, 4725 are exact divisors of 4725.
  • Every number other than 1 has at least two factors, namely the number itself and 1.
  • Each number is a factor of itself. Eg. 4725 is a factor of itself.
  • 1 is a factor of every number. Eg. 1 is a factor of 4725.

Steps to find Factors of 4725

  • Step 1. Find all the numbers that would divide 4725 without leaving any remainder. Starting with the number 1 upto 2362 (half of 4725). The number 1 and the number itself are always factors of the given number.
    4725 ÷ 1 : Remainder = 0
    4725 ÷ 3 : Remainder = 0
    4725 ÷ 5 : Remainder = 0
    4725 ÷ 7 : Remainder = 0
    4725 ÷ 9 : Remainder = 0
    4725 ÷ 15 : Remainder = 0
    4725 ÷ 21 : Remainder = 0
    4725 ÷ 25 : Remainder = 0
    4725 ÷ 27 : Remainder = 0
    4725 ÷ 35 : Remainder = 0
    4725 ÷ 45 : Remainder = 0
    4725 ÷ 63 : Remainder = 0
    4725 ÷ 75 : Remainder = 0
    4725 ÷ 105 : Remainder = 0
    4725 ÷ 135 : Remainder = 0
    4725 ÷ 175 : Remainder = 0
    4725 ÷ 189 : Remainder = 0
    4725 ÷ 225 : Remainder = 0
    4725 ÷ 315 : Remainder = 0
    4725 ÷ 525 : Remainder = 0
    4725 ÷ 675 : Remainder = 0
    4725 ÷ 945 : Remainder = 0
    4725 ÷ 1575 : Remainder = 0
    4725 ÷ 4725 : Remainder = 0

Hence, Factors of 4725 are 1, 3, 5, 7, 9, 15, 21, 25, 27, 35, 45, 63, 75, 105, 135, 175, 189, 225, 315, 525, 675, 945, 1575, and 4725

Frequently Asked Questions

  • Is 4725 a composite number?

    Yes 4725 is a composite number.

  • Is 4725 a perfect square?

    No 4725 is not a perfect square.

  • Write all odd factors of 4725?

    The factors of 4725 are 1, 3, 5, 7, 9, 15, 21, 25, 27, 35, 45, 63, 75, 105, 135, 175, 189, 225, 315, 525, 675, 945, 1575, 4725.
    Odd factors of 4725 are 1 , 3 , 5 , 7 , 9 , 15 , 21 , 25 , 27 , 35 , 45 , 63 , 75 , 105 , 135 , 175 , 189 , 225 , 315 , 525 , 675 , 945 , 1575 , 4725.

  • What is the mean of all prime factors of 4725?

    Factors of 4725 are 1 , 3 , 5 , 7 , 9 , 15 , 21 , 25 , 27 , 35 , 45 , 63 , 75 , 105 , 135 , 175 , 189 , 225 , 315 , 525 , 675 , 945 , 1575 , 4725. Prime factors of 4725 are 3 , 3 , 3 , 5 , 5 , 7. Therefore mean of prime factors of 4725 is (3 + 3 + 3 + 5 + 5 + 7) / 6 = 4.33.

  • 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 4725 blocks in order to form a rectangle in all possible ways? For arranging 4725 blocks in order to form a rectangle in all possible ways we need to find factors of 4725 in pair.

Factors of 4725 are 1, 3, 5, 7, 9, 15, 21, 25, 27, 35, 45, 63, 75, 105, 135, 175, 189, 225, 315, 525, 675, 945, 1575, 4725. So, factors of 4725 in pair are (1,4725), (3,1575), (5,945), (7,675), (9,525), (15,315), (21,225), (25,189), (27,175), (35,135), (45,105), (63,75).

Ariel has been asked to write all factor pairs of 4725 but she is finding it difficult. Can you help her find out?

Factors of 4725 are 1, 3, 5, 7, 9, 15, 21, 25, 27, 35, 45, 63, 75, 105, 135, 175, 189, 225, 315, 525, 675, 945, 1575, 4725. So, factors of 4725 in pair are (1,4725), (3,1575), (5,945), (7,675), (9,525), (15,315), (21,225), (25,189), (27,175), (35,135), (45,105), (63,75).

What are the pair factors of 4725?

Factors of 4725 are 1, 3, 5, 7, 9, 15, 21, 25, 27, 35, 45, 63, 75, 105, 135, 175, 189, 225, 315, 525, 675, 945, 1575, 4725. Hence, the factors of 4725 in pair are (1,4725), (3,1575), (5,945), (7,675), (9,525), (15,315), (21,225), (25,189), (27,175), (35,135), (45,105), (63,75).

Can you help Sammy list the factors of 4725 and also find the factor pairs?

Factors of 4725 are 1, 3, 5, 7, 9, 15, 21, 25, 27, 35, 45, 63, 75, 105, 135, 175, 189, 225, 315, 525, 675, 945, 1575, 4725.
Factors of 4725 in pair are (1,4725), (3,1575), (5,945), (7,675), (9,525), (15,315), (21,225), (25,189), (27,175), (35,135), (45,105), (63,75).

Help Diji in finding factors of 4725 by Prime Factorization method and then sorting factors of 4725 in pairs.

Prime factorization of 4725 is 3 x 3 x 3 x 5 x 5 x 7. Factors of 4725 in pair can be written as (1,4725), (3,1575), (5,945), (7,675), (9,525), (15,315), (21,225), (25,189), (27,175), (35,135), (45,105), (63,75).

Write the smallest prime factor of 4725.

Smallest prime factor of 4725 is 3.

Write the largest prime factor of 4725.

Largest prime factor of 4725 is 7.

Diji wants to write all the negative factors of 4725. Can you help Diji in doing the same?

Negative factors of 4725 are -1, -3, -5, -7, -9, -15, -21, -25, -27, -35, -45, -63, -75, -105, -135, -175, -189, -225, -315, -525, -675, -945, -1575, -4725.