Prime Factorization of 972

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What is the Prime Factorization of 972?

Answer

Prime Factors of 972:

2, 2, 3, 3, 3, 3, 3

972 = 2² × 3⁵ · composite · 18 factors · 7 prime factors counting repeats

Division ladder

972	2
486	2
243	3
81	3
27	3
9	3
3	3
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
956	2² × 239
957	3, 11, 29
958	2, 479
959	7, 137
960	2⁶ × 3 × 5
961	31²
962	2, 13, 37
963	3² × 107
964	2² × 241
966	2, 3, 7, 23
967	967
968	2³ × 11²
969	3, 17, 19
970	2, 5, 97
971	971
972	2² × 3⁵
973	7, 139
974	2, 487
975	3 × 5² × 13
976	2⁴ × 61
977	977
978	2, 3, 163
979	11, 89
980	2² × 5 × 7²
981	3² × 109
982	2, 491
983	983
984	2³ × 3 × 41
985	5, 197
986	2, 17, 29

FAQ

What is the Prime Factorization of 972?

Prime Factors of 972: 2, 2, 3, 3, 3, 3, 3

How many prime factors does 972 have?

Number 972 has 7 prime factors counting repeats; 2 different: 2 and 3.

What is the Prime Factorization of 972 in exponential form?

The Prime Factorization of the number 972 in the exponential form is: 2² × 3⁵