Prime Factorization of 1350

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Prime Factors of

What is the Prime Factorization of 1350?

Answer: Prime Factors of 1350: 2, 3, 3, 3, 5, 5

or

2 × 33 × 52

Explanation of number 1350 Prime Factorization

Prime Factorization of 1350 it is expressing 1350 as the product of prime factors. In other words it is finding which prime numbers should be multiplied together to make 1350.

Since number 1350 is a Composite number (not Prime) we can do its Prime Factorization.

To get a list of all Prime Factors of 1350, we have to iteratively divide 1350 by the smallest prime number possible until the result equals 1.

Here is the complete solution of finding Prime Factors of 1350:

The smallest Prime Number which can divide 1350 without a remainder is 2. So the first calculation step would look like:

1350 ÷ 2 = 675

Now we repeat this action until the result equals 1:

675 ÷ 3 = 225

225 ÷ 3 = 75

75 ÷ 3 = 25

25 ÷ 5 = 5

5 ÷ 5 = 1

Now we have all the Prime Factors for number 1350. It is: 2, 3, 3, 3, 5, 5

Or you may also write it in exponential form: 2 × 33 × 52

Prime Factor Tree of 1350

We may also express the prime factorization of 1350 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 1350? (The answer is: 2, 3, 3, 3, 5, 5). Pick the number for factorization (e.g. '1350'). After that hit the 'Calculate' button.
Prime factors are the positive integers having only two factors - 1 and the number itself

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Prime Factors of

Prime Factorization Table

NumberPrime Factors
13353, 5, 89
133623 × 167
13377, 191
13382, 3, 223
133913, 103
134022 × 5 × 67
134132 × 149
13422, 11, 61
134317, 79
134426 × 3 × 7
13455, 269
13462, 673
13473, 449
134822 × 337
134919, 71
13502 × 33 × 52
13517, 193
135223 × 132
13533, 11, 41
13542, 677
13555, 271
135622 × 3 × 113
135723, 59
13582, 7, 97
135932 × 151
136024 × 5 × 17
13611361
13622, 3, 227
136329, 47
136422 × 11 × 31

FAQ

What is the Prime Factorization of 1350?

Prime Factors of 1350: 2, 3, 3, 3, 5, 5

How many prime factors does 1350 have?

Number 1350 has 6 Prime Factors

What is the Prime Factorization of 1350 in exponential form?

The Prime Factorization of the number 1350 in the exponential form is: 2 × 33 × 52

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