Prime Factorization of 59

"Prime Factorization" Calculator

What is the Prime Factorization of 59?

Answer

Prime Factors of 59:

59

59 — prime number: no prime divides it up to √59 ≈ 7.68

Division ladder

59	59
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
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
62	2, 31
63	3² × 7
64	2⁶
65	5, 13
66	2, 3, 11
67	67
68	2² × 17
69	3, 23
70	2, 5, 7
71	71
72	2³ × 3²
73	73

FAQ

What is the Prime Factorization of 59?

Prime Factors of 59: 59

How many prime factors does 59 have?

Number 59 has 1 prime factor — itself.

Why is the prime factorization of 59 just 59?

59 is a prime number — its only divisors are 1 and 59 — so it cannot be broken down any further. A prime number is its own complete factorization.