Prime Factorization of 470

What is the Prime Factorization of 470?

Answer: Prime Factors of 470: 2, 5, 47

Explanation of number 470 Prime Factorization

Prime Factorization of 470 it is expressing 470 as the product of prime factors. In other words it is finding which prime numbers should be multiplied together to make 470.

Since number 470 is a Composite number (not Prime) we can do its Prime Factorization.

To get a list of all Prime Factors of 470, we have to iteratively divide 470 by the smallest prime number possible until the result equals 1.

Here is the complete solution of finding Prime Factors of 470:

The smallest Prime Number which can divide 470 without a remainder is 2. So the first calculation step would look like:

470 ÷ 2 = 235

Now we repeat this action until the result equals 1:

235 ÷ 5 = 47

47 ÷ 47 = 1

Now we have all the Prime Factors for number 470. It is: 2, 5, 47

Prime Factor Tree of 470

We may also express the prime factorization of 470 as a Factor Tree:

Prime factors of 470 factorization tree of 470

Related Calculations

Prime Factorization Table

NumberPrime Factors
5, 7, 13
23 × 3 × 19
457
2, 229
33 × 17
22 × 5 × 23
461
2, 3, 7, 11
463
24 × 29
3, 5, 31
2, 233
467
22 × 32 × 13
4697, 67
2, 5, 47
4713, 157
23 × 59
11, 43
4742, 3, 79
52 × 19
22 × 7 × 17
32 × 53
2, 239
479
25 × 3 × 5
13, 37
2, 241
3, 7, 23
22 × 112

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 470? (The answer is: 2, 5, 47). Pick the number for factorization (e.g. '470'). After that hit the 'Calculate' button.
Prime factors are the positive integers having only two factors - 1 and the number itself

FAQ

What is the Prime Factorization of 470?

Prime Factors of 470: 2, 5, 47

How many prime factors does 470 have?

Number 470 has 3 Prime Factors