Prime Factorization of 1260

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Prime Factors of

What is the Prime Factorization of 1260?

Answer: Prime Factors of 1260: 2, 2, 3, 3, 5, 7

or

22 × 32 × 5 × 7

Explanation of number 1260 Prime Factorization

Prime Factorization of 1260 it is expressing 1260 as the product of prime factors. In other words it is finding which prime numbers should be multiplied together to make 1260.

Since number 1260 is a Composite number (not Prime) we can do its Prime Factorization.

To get a list of all Prime Factors of 1260, we have to iteratively divide 1260 by the smallest prime number possible until the result equals 1.

Here is the complete solution of finding Prime Factors of 1260:

The smallest Prime Number which can divide 1260 without a remainder is 2. So the first calculation step would look like:

1260 ÷ 2 = 630

Now we repeat this action until the result equals 1:

630 ÷ 2 = 315

315 ÷ 3 = 105

105 ÷ 3 = 35

35 ÷ 5 = 7

7 ÷ 7 = 1

Now we have all the Prime Factors for number 1260. It is: 2, 2, 3, 3, 5, 7

Or you may also write it in exponential form: 22 × 32 × 5 × 7

Prime Factor Tree of 1260

We may also express the prime factorization of 1260 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 1260? (The answer is: 2, 2, 3, 3, 5, 7). Pick the number for factorization (e.g. '1260'). 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
12453, 5, 83
12462, 7, 89
124729, 43
124825 × 3 × 13
12491249
12502 × 54
125132 × 139
125222 × 313
12537, 179
12542, 3, 11, 19
12555, 251
125623 × 157
12573, 419
12582, 17, 37
12591259
126022 × 32 × 5 × 7
126113, 97
12622, 631
12633, 421
126424 × 79
12655, 11, 23
12662, 3, 211
12677, 181
126822 × 317
126933 × 47
12702, 5, 127
127131, 41
127223 × 3 × 53
127319, 67
12742 × 72 × 13

FAQ

What is the Prime Factorization of 1260?

Prime Factors of 1260: 2, 2, 3, 3, 5, 7

How many prime factors does 1260 have?

Number 1260 has 6 Prime Factors

What is the Prime Factorization of 1260 in exponential form?

The Prime Factorization of the number 1260 in the exponential form is: 22 × 32 × 5 × 7

See Also