Prime Factorization of 2450

What is the Prime Factorization of 2450?

Answer: Prime Factors of 2450: 2, 5, 5, 7, 7

or

2 × 52 × 72

Explanation of number 2450 Prime Factorization

Prime Factorization of 2450 it is expressing 2450 as the product of prime factors. In other words it is finding which prime numbers should be multiplied together to make 2450.

Since number 2450 is a Composite number (not Prime) we can do its Prime Factorization.

To get a list of all Prime Factors of 2450, we have to iteratively divide 2450 by the smallest prime number possible until the result equals 1.

Here is the complete solution of finding Prime Factors of 2450:

The smallest Prime Number which can divide 2450 without a remainder is 2. So the first calculation step would look like:

2450 ÷ 2 = 1225

Now we repeat this action until the result equals 1:

1225 ÷ 5 = 245

245 ÷ 5 = 49

49 ÷ 7 = 7

7 ÷ 7 = 1

Now we have all the Prime Factors for number 2450. It is: 2, 5, 5, 7, 7

Or you may also write it in exponential form: 2 × 52 × 72

Prime Factor Tree of 2450

We may also express the prime factorization of 2450 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 2450? (The answer is: 2, 5, 5, 7, 7). Pick the number for factorization (e.g. '2450'). After that hit the 'Calculate' button.
Prime factors are the positive integers having only two factors - 1 and the number itself

Prime Factorization Table

NumberPrime Factors
24355, 487
243622 × 3 × 7 × 29
24372437
24382, 23, 53
243932 × 271
244023 × 5 × 61
24412441
24422, 3, 11, 37
24437, 349
244422 × 13 × 47
24453, 5, 163
24462, 1223
24472447
244824 × 32 × 17
244931, 79
2 × 52 × 72
24513, 19, 43
245222 × 613
245311, 223
24542, 3, 409
24555, 491
245623 × 307
245733 × 7 × 13
24582, 1229
24592459
246022 × 3 × 5 × 41
246123, 107
24622, 1231
24633, 821
246425 × 7 × 11

FAQ

What is the Prime Factorization of 2450?

Prime Factors of 2450: 2, 5, 5, 7, 7

How many prime factors does 2450 have?

Number 2450 has 5 Prime Factors

What is the Prime Factorization of 2450 in exponential form?

The Prime Factorization of the number 2450 in the exponential form is: 2 × 52 × 72