Factors of 4725

2. Steps to find factors of 4725 using Prime Factorization

A prime number is a number that has exactly two factors, 1 and the number itself. Prime factorization of a number means breaking down of the number into the form of products of its prime factors.

There are two different methods that can be used for the prime factorization.

Method 1: Division Method

To find the primefactors of 4725 using the division method, follow these steps:

• Step 1. Start dividing 4725 by the smallest prime number, i.e., 2, 3, 5, and so on. Find the smallest prime factor of the number.
• Step 2. After finding the smallest prime factor of the number 4725, which is 3. Divide 4725 by 3 to obtain the quotient (1575).
  4725 ÷ 3 = 1575
• Step 3. Repeat step 1 with the obtained quotient (1575).
  1575 ÷ 3 = 525
  525 ÷ 3 = 175
  175 ÷ 5 = 35
  35 ÷ 5 = 7
  7 ÷ 7 = 1

So, the prime factorization of 4725 is, 4725 = 3 x 3 x 3 x 5 x 5 x 7.

Method 2: Factor Tree Method

We can follow the same procedure using the factor tree of 4725 as shown below:

So, the prime factorization of 4725 is, 4725 = 3 x 3 x 3 x 5 x 5 x 7.

3. Find factors of 4725 in Pairs

Pair factors of a number are any two numbers which, which on multiplying together, give that number as a result. The pair factors of 4725 would be the two numbers which, when multiplied, give 4725 as the result.

The following table represents the calculation of factors of 4725 in pairs:

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 ) , ( -3 , -1575 ) , ( -5 , -945 ) , ( -7 , -675 ) , ( -9 , -525 ) , ( -15 , -315 ) , ( -21 , -225 ) , ( -25 , -189 ) , ( -27 , -175 ) , ( -35 , -135 ) , ( -45 , -105 ) and ( -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.

Frequently Asked Questions

• Which is the smallest prime factor of 4725?

  Smallest prime factor of 4725 is 3.

• Is 4725 a perfect square?

  No 4725 is not a perfect square.

• What are five multiples of 4725?

  First five multiples of 4725 are 9450, 14175, 18900, 23625, 28350.

• What is prime factorization of 4725?

  Prime factorization of 4725 is 3 x 3 x 3 x 5 x 5 x 7.

• What are 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.

• How do you find factors of a negative number? ( eg. -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.

• Is 4725 a whole number?

  Yes 4725 is a whole number.

• Which is greatest factor of 4725?

  The greatest factor of 4725 is 1575.

• What are the prime 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.
  Prime factors of 4725 are 3, 3, 3, 5, 5, 7.

Examples of Factors