Prime Factorization of 288

"Prime Factorization" Calculator

What is the Prime Factorization of 288?

Answer

Prime Factors of 288:

2, 2, 2, 2, 2, 3, 3

288 = 2⁵ × 3² · composite · 18 factors · 7 prime factors counting repeats

Division ladder

288	2
144	2
72	2
36	2
18	2
9	3
3	3
1

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

Second way — factor tree

Related Calculations

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

Recalculate with different values ↑

Prime Factorization Table

Number	Prime Factors
273	3, 7, 13
274	2, 137
275	5² × 11
276	2² × 3 × 23
277	277
278	2, 139
279	3² × 31
280	2³ × 5 × 7
281	281
282	2, 3, 47
283	283
284	2² × 71
285	3, 5, 19
286	2, 11, 13
287	7, 41
288	2⁵ × 3²
289	17²
290	2, 5, 29
291	3, 97
292	2² × 73
293	293
294	2 × 3 × 7²
295	5, 59
296	2³ × 37
297	3³ × 11
298	2, 149
299	13, 23
300	2² × 3 × 5²
301	7, 43
302	2, 151

FAQ

What is the Prime Factorization of 288?

Prime Factors of 288: 2, 2, 2, 2, 2, 3, 3

How many prime factors does 288 have?

Number 288 has 7 prime factors counting repeats; 2 different: 2 and 3.

What is the Prime Factorization of 288 in exponential form?

The Prime Factorization of the number 288 in the exponential form is: 2⁵ × 3²