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Prime Factorization of 231

"Prime Factorization" Calculator

What is the Prime Factorization of 231?

Answer

Prime Factors of 231:

3, 7, 11

231 = 3 × 7 × 11 · composite · 8 factors

Division ladder

231	3
77	7
11	11
1

Left: what is left; right: the smallest prime that divides it; 1 at the bottom.

Second way — factor tree

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See Also

Factors of a Number - List all Factors and Factor Pairs of a Number
Prime Number Checker - Find out whether a given number is Prime or not
Prime Numbers List - List of all Prime Numbers - how many Prime numbers are between

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Prime factors of 231. Prime factorization of 231: 3 × 7 × 11. Break down any number into a product of prime factors online.

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Prime Factorization Table

Number	Prime Factors
216	2³ × 3³
217	7, 31
218	2, 109
219	3, 73
220	2² × 5 × 11
221	13, 17
222	2, 3, 37
223	223
224	2⁵ × 7
225	3² × 5²
226	2, 113
227	227
228	2² × 3 × 19
229	229
230	2, 5, 23
231	3, 7, 11
232	2³ × 29
233	233
234	2 × 3² × 13
235	5, 47
236	2² × 59
237	3, 79
238	2, 7, 17
239	239
240	2⁴ × 3 × 5
241	241
242	2 × 11²
243	3⁵
244	2² × 61
245	5 × 7²

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FAQ

What is the Prime Factorization of 231?

Prime Factors of 231: 3, 7, 11

How many prime factors does 231 have?

Number 231 has 3 prime factors, all different.

How can you check the prime factorization of 231?

Multiply the factors back together: 3 × 7 × 11 = 231. Every factor is prime, so nothing splits any further and this decomposition is the only one that exists.