Prime Factorization of 1060

What is the Prime Factorization of 1060?

Answer: Prime Factors of 1060: 2, 2, 5, 53

or

22 × 5 × 53

Explanation of number 1060 Prime Factorization

Prime Factorization of 1060 it is expressing 1060 as the product of prime factors. In other words it is finding which prime numbers should be multiplied together to make 1060.

Since number 1060 is a Composite number (not Prime) we can do its Prime Factorization.

To get a list of all Prime Factors of 1060, we have to iteratively divide 1060 by the smallest prime number possible until the result equals 1.

Here is the complete solution of finding Prime Factors of 1060:

The smallest Prime Number which can divide 1060 without a remainder is 2. So the first calculation step would look like:

1060 ÷ 2 = 530

Now we repeat this action until the result equals 1:

530 ÷ 2 = 265

265 ÷ 5 = 53

53 ÷ 53 = 1

Now we have all the Prime Factors for number 1060. It is: 2, 2, 5, 53

Or you may also write it in exponential form: 22 × 5 × 53

Prime Factor Tree of 1060

We may also express the prime factorization of 1060 as a Factor Tree:

Related Calculations

See Also

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 1060? (The answer is: 2, 2, 5, 53). Pick the number for factorization (e.g. '1060'). After that hit the 'Calculate' button.
Prime factors are the positive integers having only two factors - 1 and the number itself

Prime Factorization Table

NumberPrime Factors
10455, 11, 19
10462, 523
10473, 349
104823 × 131
10491049
2 × 3 × 52 × 7
10511051
105222 × 263
105334 × 13
10542, 17, 31
10555, 211
105625 × 3 × 11
10577, 151
10582 × 232
10593, 353
22 × 5 × 53
10611061
10622 × 32 × 59
10631063
106423 × 7 × 19
10653, 5, 71
10662, 13, 41
106711, 97
106822 × 3 × 89
10691069
10702, 5, 107
107132 × 7 × 17
107224 × 67
107329, 37
10742, 3, 179

FAQ

What is the Prime Factorization of 1060?

Prime Factors of 1060: 2, 2, 5, 53

How many prime factors does 1060 have?

Number 1060 has 4 Prime Factors

What is the Prime Factorization of 1060 in exponential form?

The Prime Factorization of the number 1060 in the exponential form is: 22 × 5 × 53