Prime Factorization of 1650

What is the Prime Factorization of 1650?

Answer: Prime Factors of 1650: 2, 3, 5, 5, 11

or

2 × 3 × 52 × 11

Explanation of number 1650 Prime Factorization

Prime Factorization of 1650 it is expressing 1650 as the product of prime factors. In other words it is finding which prime numbers should be multiplied together to make 1650.

Since number 1650 is a Composite number (not Prime) we can do its Prime Factorization.

To get a list of all Prime Factors of 1650, we have to iteratively divide 1650 by the smallest prime number possible until the result equals 1.

Here is the complete solution of finding Prime Factors of 1650:

The smallest Prime Number which can divide 1650 without a remainder is 2. So the first calculation step would look like:

1650 ÷ 2 = 825

Now we repeat this action until the result equals 1:

825 ÷ 3 = 275

275 ÷ 5 = 55

55 ÷ 5 = 11

11 ÷ 11 = 1

Now we have all the Prime Factors for number 1650. It is: 2, 3, 5, 5, 11

Or you may also write it in exponential form: 2 × 3 × 52 × 11

Prime Factor Tree of 1650

We may also express the prime factorization of 1650 as a Factor Tree:

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 1650? (The answer is: 2, 3, 5, 5, 11). Pick the number for factorization (e.g. '1650'). 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
16353, 5, 109
163622 × 409
16371637
16382 × 32 × 7 × 13
163911, 149
23 × 5 × 41
16413, 547
16422, 821
164331, 53
164422 × 3 × 137
16455, 7, 47
16462, 823
164733 × 61
164824 × 103
164917, 97
2 × 3 × 52 × 11
165113, 127
165222 × 7 × 59
16533, 19, 29
16542, 827
16555, 331
165623 × 32 × 23
16571657
16582, 829
16593, 7, 79
166022 × 5 × 83
166111, 151
16622, 3, 277
16631663
166427 × 13

FAQ

What is the Prime Factorization of 1650?

Prime Factors of 1650: 2, 3, 5, 5, 11

How many prime factors does 1650 have?

Number 1650 has 5 Prime Factors

What is the Prime Factorization of 1650 in exponential form?

The Prime Factorization of the number 1650 in the exponential form is: 2 × 3 × 52 × 11