Prime Factorization of 47

"Prime Factorization" Calculator

What is the Prime Factorization of 47?

Answer

Prime Factors of 47:

47

47 — prime number: no prime divides it up to √47 ≈ 6.86

Division ladder

47	47
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

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Prime Factorization Table

Number	Prime Factors
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
46	2, 23
47	47
48	2⁴ × 3
49	7²
50	2 × 5²
51	3, 17
52	2² × 13
53	53
54	2 × 3³
55	5, 11
56	2³ × 7
57	3, 19
58	2, 29
59	59
60	2² × 3 × 5
61	61

FAQ

What is the Prime Factorization of 47?

Prime Factors of 47: 47

How many prime factors does 47 have?

Number 47 has 1 prime factor — itself.

Why is the prime factorization of 47 just 47?

47 is a prime number — its only divisors are 1 and 47 — so it cannot be broken down any further. A prime number is its own complete factorization.