Prime Factorization of 4900

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Prime Factors of

What is the Prime Factorization of 4900?

Answer: Prime Factors of 4900: 2, 2, 5, 5, 7, 7

or

22 × 52 × 72

Explanation of number 4900 Prime Factorization

Prime Factorization of 4900 it is expressing 4900 as the product of prime factors. In other words it is finding which prime numbers should be multiplied together to make 4900.

Since number 4900 is a Composite number (not Prime) we can do its Prime Factorization.

To get a list of all Prime Factors of 4900, we have to iteratively divide 4900 by the smallest prime number possible until the result equals 1.

Here is the complete solution of finding Prime Factors of 4900:

The smallest Prime Number which can divide 4900 without a remainder is 2. So the first calculation step would look like:

4900 ÷ 2 = 2450

Now we repeat this action until the result equals 1:

2450 ÷ 2 = 1225

1225 ÷ 5 = 245

245 ÷ 5 = 49

49 ÷ 7 = 7

7 ÷ 7 = 1

Now we have all the Prime Factors for number 4900. It is: 2, 2, 5, 5, 7, 7

Or you may also write it in exponential form: 22 × 52 × 72

Prime Factor Tree of 4900

We may also express the prime factorization of 4900 as a Factor Tree:

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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 4900? (The answer is: 2, 2, 5, 5, 7, 7). Pick the number for factorization (e.g. '4900'). 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
48855, 977
48862, 7, 349
488733 × 181
488823 × 13 × 47
48894889
48902, 3, 5, 163
489167, 73
489222 × 1223
48933, 7, 233
48942, 2447
48955, 11, 89
489625 × 32 × 17
489759, 83
48982, 31, 79
48993, 23, 71
490022 × 52 × 72
4901132 × 29
49022, 3, 19, 43
49034903
490423 × 613
490532 × 5 × 109
49062, 11, 223
49077, 701
490822 × 3 × 409
49094909
49102, 5, 491
49113, 1637
491224 × 307
4913173
49142 × 33 × 7 × 13

FAQ

What is the Prime Factorization of 4900?

Prime Factors of 4900: 2, 2, 5, 5, 7, 7

How many prime factors does 4900 have?

Number 4900 has 6 Prime Factors

What is the Prime Factorization of 4900 in exponential form?

The Prime Factorization of the number 4900 in the exponential form is: 22 × 52 × 72

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