Prime Factorization of 400

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Prime Factors of

What is the Prime Factorization of 400?

Answer: Prime Factors of 400: 2, 2, 2, 2, 5, 5

or

24 × 52

Explanation of number 400 Prime Factorization

Prime Factorization of 400 it is expressing 400 as the product of prime factors. In other words it is finding which prime numbers should be multiplied together to make 400.

Since number 400 is a Composite number (not Prime) we can do its Prime Factorization.

To get a list of all Prime Factors of 400, we have to iteratively divide 400 by the smallest prime number possible until the result equals 1.

Here is the complete solution of finding Prime Factors of 400:

The smallest Prime Number which can divide 400 without a remainder is 2. So the first calculation step would look like:

400 ÷ 2 = 200

Now we repeat this action until the result equals 1:

200 ÷ 2 = 100

100 ÷ 2 = 50

50 ÷ 2 = 25

25 ÷ 5 = 5

5 ÷ 5 = 1

Now we have all the Prime Factors for number 400. It is: 2, 2, 2, 2, 5, 5

Or you may also write it in exponential form: 24 × 52

Prime Factor Tree of 400

We may also express the prime factorization of 400 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 400? (The answer is: 2, 2, 2, 2, 5, 5). Pick the number for factorization (e.g. '400'). 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
3855, 7, 11
3862, 193
38732 × 43
38822 × 97
389389
3902, 3, 5, 13
39117, 23
39223 × 72
3933, 131
3942, 197
3955, 79
39622 × 32 × 11
397397
3982, 199
3993, 7, 19
40024 × 52
401401
4022, 3, 67
40313, 31
40422 × 101
40534 × 5
4062, 7, 29
40711, 37
40823 × 3 × 17
409409
4102, 5, 41
4113, 137
41222 × 103
4137, 59
4142 × 32 × 23

FAQ

What is the Prime Factorization of 400?

Prime Factors of 400: 2, 2, 2, 2, 5, 5

How many prime factors does 400 have?

Number 400 has 6 Prime Factors

What is the Prime Factorization of 400 in exponential form?

The Prime Factorization of the number 400 in the exponential form is: 24 × 52

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