Prime Factorization of 169

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Prime Factors of

What is the Prime Factorization of 169?

Answer: Prime Factors of 169: 13, 13

or

132

Explanation of number 169 Prime Factorization

Prime Factorization of 169 it is expressing 169 as the product of prime factors. In other words it is finding which prime numbers should be multiplied together to make 169.

Since number 169 is a Composite number (not Prime) we can do its Prime Factorization.

To get a list of all Prime Factors of 169, we have to iteratively divide 169 by the smallest prime number possible until the result equals 1.

Here is the complete solution of finding Prime Factors of 169:

The smallest Prime Number which can divide 169 without a remainder is 13. So the first calculation step would look like:

169 ÷ 13 = 13

Now we repeat this action until the result equals 1:

13 ÷ 13 = 1

Now we have all the Prime Factors for number 169. It is: 13, 13

Or you may also write it in exponential form: 132

Prime Factor Tree of 169

We may also express the prime factorization of 169 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 169? (The answer is: 13, 13). Pick the number for factorization (e.g. '169'). After that hit the 'Calculate' button.
Prime factors are the positive integers having only two factors - 1 and the number itself

"Prime Factorization" Calculator

Prime Factors of

Prime Factorization Table

NumberPrime Factors
1542, 7, 11
1555, 31
15622 × 3 × 13
157157
1582, 79
1593, 53
16025 × 5
1617, 23
1622 × 34
163163
16422 × 41
1653, 5, 11
1662, 83
167167
16823 × 3 × 7
169132
1702, 5, 17
17132 × 19
17222 × 43
173173
1742, 3, 29
17552 × 7
17624 × 11
1773, 59
1782, 89
179179
18022 × 32 × 5
181181
1822, 7, 13
1833, 61

FAQ

What is the Prime Factorization of 169?

Prime Factors of 169: 13, 13

How many prime factors does 169 have?

Number 169 has 2 Prime Factors

What is the Prime Factorization of 169 in exponential form?

The Prime Factorization of the number 169 in the exponential form is: 132

See Also