Prime Factorization of 4725

"Prime Factorization" Calculator

Prime Factors of

What is the Prime Factorization of 4725?

Answer: Prime Factors of 4725: 3, 3, 3, 5, 5, 7

or

33 × 52 × 7

Explanation of number 4725 Prime Factorization

Prime Factorization of 4725 it is expressing 4725 as the product of prime factors. In other words it is finding which prime numbers should be multiplied together to make 4725.

Since number 4725 is a Composite number (not Prime) we can do its Prime Factorization.

To get a list of all Prime Factors of 4725, we have to iteratively divide 4725 by the smallest prime number possible until the result equals 1.

Here is the complete solution of finding Prime Factors of 4725:

The smallest Prime Number which can divide 4725 without a remainder is 3. So the first calculation step would look like:

4725 ÷ 3 = 1575

Now we repeat this action until the result equals 1:

1575 ÷ 3 = 525

525 ÷ 3 = 175

175 ÷ 5 = 35

35 ÷ 5 = 7

7 ÷ 7 = 1

Now we have all the Prime Factors for number 4725. It is: 3, 3, 3, 5, 5, 7

Or you may also write it in exponential form: 33 × 52 × 7

Prime Factor Tree of 4725

We may also express the prime factorization of 4725 as a Factor Tree:

Related Calculations

See Also

About "Prime Factorization" Calculator

This calculator will perform a Prime Factorization of any given number and will show all its Prime Factors. For example, it can help you find out what is the Prime Factorization of 4725? (The answer is: 3, 3, 3, 5, 5, 7). Pick the number for factorization (e.g. '4725'). After that hit the 'Calculate' button.
Prime factors are the positive integers having only two factors - 1 and the number itself

"Prime Factorization" Calculator

Prime Factors of

Prime Factorization Table

NumberPrime Factors
47102, 3, 5, 157
47117, 673
471223 × 19 × 31
47133, 1571
47142, 2357
47155, 23, 41
471622 × 32 × 131
471753, 89
47182, 7, 337
47193 × 112 × 13
472024 × 5 × 59
47214721
47222, 3, 787
47234723
472422 × 1181
472533 × 52 × 7
47262, 17, 139
472729, 163
472823 × 3 × 197
47294729
47302, 5, 11, 43
47313, 19, 83
473222 × 7 × 132
47334733
47342 × 32 × 263
47355, 947
473627 × 37
47373, 1579
47382, 23, 103
47397, 677

FAQ

What is the Prime Factorization of 4725?

Prime Factors of 4725: 3, 3, 3, 5, 5, 7

How many prime factors does 4725 have?

Number 4725 has 6 Prime Factors

What is the Prime Factorization of 4725 in exponential form?

The Prime Factorization of the number 4725 in the exponential form is: 33 × 52 × 7

See Also