Prime Factorization of 300

"Prime Factorization" Calculator

What is the Prime Factorization of 300?

Answer

Prime Factors of 300:

2, 2, 3, 5, 5

300 = 2² × 3 × 5² · composite · 18 factors · 5 prime factors counting repeats

Division ladder

300	2
150	2
75	3
25	5
5	5
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

Recalculate with different values ↑

Prime Factorization Table

Number	Prime Factors
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
303	3, 101
304	2⁴ × 19
305	5, 61
306	2 × 3² × 17
307	307
308	2² × 7 × 11
309	3, 103
310	2, 5, 31
311	311
312	2³ × 3 × 13
313	313
314	2, 157

FAQ

What is the Prime Factorization of 300?

Prime Factors of 300: 2, 2, 3, 5, 5

How many prime factors does 300 have?

Number 300 has 5 prime factors counting repeats; 3 different: 2, 3 and 5.

What is the Prime Factorization of 300 in exponential form?

The Prime Factorization of the number 300 in the exponential form is: 2² × 3 × 5²