Prime Factorization of 45

"Prime Factorization" Calculator

What is the Prime Factorization of 45?

Answer

Prime Factors of 45:

3, 3, 5

45 = 3² × 5 · composite · 6 factors · 3 prime factors counting repeats

Division ladder

45	3
15	3
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
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
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

FAQ

What is the Prime Factorization of 45?

Prime Factors of 45: 3, 3, 5

How many prime factors does 45 have?

Number 45 has 3 prime factors counting repeats; 2 different: 3 and 5.

What is the Prime Factorization of 45 in exponential form?

The Prime Factorization of the number 45 in the exponential form is: 3² × 5