Prime Factorization of 1400

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Prime Factors of

What is the Prime Factorization of 1400?

Answer: Prime Factors of 1400: 2, 2, 2, 5, 5, 7

or

23 × 52 × 7

Explanation of number 1400 Prime Factorization

Prime Factorization of 1400 it is expressing 1400 as the product of prime factors. In other words it is finding which prime numbers should be multiplied together to make 1400.

Since number 1400 is a Composite number (not Prime) we can do its Prime Factorization.

To get a list of all Prime Factors of 1400, we have to iteratively divide 1400 by the smallest prime number possible until the result equals 1.

Here is the complete solution of finding Prime Factors of 1400:

The smallest Prime Number which can divide 1400 without a remainder is 2. So the first calculation step would look like:

1400 ÷ 2 = 700

Now we repeat this action until the result equals 1:

700 ÷ 2 = 350

350 ÷ 2 = 175

175 ÷ 5 = 35

35 ÷ 5 = 7

7 ÷ 7 = 1

Now we have all the Prime Factors for number 1400. It is: 2, 2, 2, 5, 5, 7

Or you may also write it in exponential form: 23 × 52 × 7

Prime Factor Tree of 1400

We may also express the prime factorization of 1400 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 1400? (The answer is: 2, 2, 2, 5, 5, 7). Pick the number for factorization (e.g. '1400'). 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
13855, 277
13862 × 32 × 7 × 11
138719, 73
138822 × 347
13893, 463
13902, 5, 139
139113, 107
139224 × 3 × 29
13937, 199
13942, 17, 41
139532 × 5 × 31
139622 × 349
139711, 127
13982, 3, 233
13991399
140023 × 52 × 7
14013, 467
14022, 701
140323, 61
140422 × 33 × 13
14055, 281
14062, 19, 37
14073, 7, 67
140827 × 11
14091409
14102, 3, 5, 47
141117, 83
141222 × 353
141332 × 157
14142, 7, 101

FAQ

What is the Prime Factorization of 1400?

Prime Factors of 1400: 2, 2, 2, 5, 5, 7

How many prime factors does 1400 have?

Number 1400 has 6 Prime Factors

What is the Prime Factorization of 1400 in exponential form?

The Prime Factorization of the number 1400 in the exponential form is: 23 × 52 × 7

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