Prime Factorization of 360

"Prime Factorization" Calculator

What is the Prime Factorization of 360?

Answer

Prime Factors of 360:

2, 2, 2, 3, 3, 5

360 = 2³ × 3² × 5 · composite · 24 factors · 6 prime factors counting repeats

Division ladder

360	2
180	2
90	2
45	3
15	3
5	5
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
345	3, 5, 23
346	2, 173
347	347
348	2² × 3 × 29
349	349
350	2 × 5² × 7
351	3³ × 13
352	2⁵ × 11
353	353
354	2, 3, 59
355	5, 71
356	2² × 89
357	3, 7, 17
358	2, 179
359	359
360	2³ × 3² × 5
361	19²
362	2, 181
363	3 × 11²
364	2² × 7 × 13
365	5, 73
366	2, 3, 61
367	367
368	2⁴ × 23
369	3² × 41
370	2, 5, 37
371	7, 53
372	2² × 3 × 31
373	373
374	2, 11, 17

FAQ

What is the Prime Factorization of 360?

Prime Factors of 360: 2, 2, 2, 3, 3, 5

How many prime factors does 360 have?

Number 360 has 6 prime factors counting repeats; 3 different: 2, 3 and 5.

What is the Prime Factorization of 360 in exponential form?

The Prime Factorization of the number 360 in the exponential form is: 2³ × 3² × 5