Prime Factorization of 31

"Prime Factorization" Calculator

What is the Prime Factorization of 31?

Answer

Prime Factors of 31:

31

31 — prime number: no prime divides it up to √31 ≈ 5.57

Division ladder

31	31
1

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

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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
16	2⁴
17	17
18	2 × 3²
19	19
20	2² × 5
21	3, 7
22	2, 11
23	23
24	2³ × 3
25	5²
26	2, 13
27	3³
28	2² × 7
29	29
30	2, 3, 5
31	31
32	2⁵
33	3, 11
34	2, 17
35	5, 7
36	2² × 3²
37	37
38	2, 19
39	3, 13
40	2³ × 5
41	41
42	2, 3, 7
43	43
44	2² × 11
45	3² × 5

FAQ

What is the Prime Factorization of 31?

Prime Factors of 31: 31

How many prime factors does 31 have?

Number 31 has 1 prime factor — itself.

Why is the prime factorization of 31 just 31?

31 is a prime number — its only divisors are 1 and 31 — so it cannot be broken down any further. A prime number is its own complete factorization.