Prime Factorization of 429

What is the Prime Factorization of 429?

Answer: Prime Factors of 429: 3, 11, 13

Explanation of number 429 Prime Factorization

Prime Factorization of 429 it is expressing 429 as the product of prime factors. In other words it is finding which prime numbers should be multiplied together to make 429.

Since number 429 is a Composite number (not Prime) we can do its Prime Factorization.

To get a list of all Prime Factors of 429, we have to iteratively divide 429 by the smallest prime number possible until the result equals 1.

Here is the complete solution of finding Prime Factors of 429:

The smallest Prime Number which can divide 429 without a remainder is 3. So the first calculation step would look like:

429 ÷ 3 = 143

Now we repeat this action until the result equals 1:

143 ÷ 11 = 13

13 ÷ 13 = 1

Now we have all the Prime Factors for number 429. It is: 3, 11, 13

Prime Factor Tree of 429

We may also express the prime factorization of 429 as a Factor Tree:

Prime factors of 429 factorization tree of 429

See Also

Prime Factorization Table

NumberPrime Factors
2 × 32 × 23
5, 83
25 × 13
4173, 139
2, 11, 19
419
22 × 3 × 5 × 7
421
2, 211
32 × 47
23 × 53
52 × 17
2, 3, 71
4277, 61
22 × 107
3, 11, 13
2, 5, 43
431
24 × 33
433
2, 7, 31
3, 5, 29
22 × 109
19, 23
2, 3, 73
439
23 × 5 × 11
32 × 72
2, 13, 17
443

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 429? (The answer is: 3, 11, 13). Pick the number for factorization (e.g. '429'). 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 429?

Prime Factors of 429: 3, 11, 13

How many prime factors does 429 have?

Number 429 has 3 Prime Factors