Prime Factorization of 315

"Prime Factorization" Calculator

What is the Prime Factorization of 315?

Answer

Prime Factors of 315:

3, 3, 5, 7

315 = 3² × 5 × 7 · composite · 12 factors · 4 prime factors counting repeats

Division ladder

315	3
105	3
35	5
7	7
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
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
315	3² × 5 × 7
316	2² × 79
317	317
318	2, 3, 53
319	11, 29
320	2⁶ × 5
321	3, 107
322	2, 7, 23
323	17, 19
324	2² × 3⁴
325	5² × 13
326	2, 163
327	3, 109
328	2³ × 41
329	7, 47

FAQ

What is the Prime Factorization of 315?

Prime Factors of 315: 3, 3, 5, 7

How many prime factors does 315 have?

Number 315 has 4 prime factors counting repeats; 3 different: 3, 5 and 7.

What is the Prime Factorization of 315 in exponential form?

The Prime Factorization of the number 315 in the exponential form is: 3² × 5 × 7