Prime Factorization of 150

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Prime Factors of

What is the Prime Factorization of 150?

Answer: Prime Factors of 150: 2, 3, 5, 5

or

2 × 3 × 52

Explanation of number 150 Prime Factorization

Prime Factorization of 150 it is expressing 150 as the product of prime factors. In other words it is finding which prime numbers should be multiplied together to make 150.

Since number 150 is a Composite number (not Prime) we can do its Prime Factorization.

To get a list of all Prime Factors of 150, we have to iteratively divide 150 by the smallest prime number possible until the result equals 1.

Here is the complete solution of finding Prime Factors of 150:

The smallest Prime Number which can divide 150 without a remainder is 2. So the first calculation step would look like:

150 ÷ 2 = 75

Now we repeat this action until the result equals 1:

75 ÷ 3 = 25

25 ÷ 5 = 5

5 ÷ 5 = 1

Now we have all the Prime Factors for number 150. It is: 2, 3, 5, 5

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

Prime Factor Tree of 150

We may also express the prime factorization of 150 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 150? (The answer is: 2, 3, 5, 5). Pick the number for factorization (e.g. '150'). 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
13533 × 5
13623 × 17
137137
1382, 3, 23
139139
14022 × 5 × 7
1413, 47
1422, 71
14311, 13
14424 × 32
1455, 29
1462, 73
1473 × 72
14822 × 37
149149
1502 × 3 × 52
151151
15223 × 19
15332 × 17
1542, 7, 11
1555, 31
15622 × 3 × 13
157157
1582, 79
1593, 53
16025 × 5
1617, 23
1622 × 34
163163
16422 × 41

FAQ

What is the Prime Factorization of 150?

Prime Factors of 150: 2, 3, 5, 5

How many prime factors does 150 have?

Number 150 has 4 Prime Factors

What is the Prime Factorization of 150 in exponential form?

The Prime Factorization of the number 150 in the exponential form is: 2 × 3 × 52

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