Factors of 900

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What are the Factors of 900?

Answer

Factors of 900:

27 factors: 1, 2, 3, 4, 5 … 300, 450, 900

all 27 factors

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900

27 factors · 900 = 2² × 3² × 5² · composite

Underlined — prime: 2, 3, 5 · 1 — neither prime nor composite · others — composite

Factor pairs of 900

1 × 900
2 × 450
3 × 300
4 × 225
5 × 180
6 × 150
9 × 100
10 × 90
…

30 × 30 is a pair of one factor — that is why 900 has an odd number of factors, 27.

all 14 pairs

1 × 900
2 × 450
3 × 300
4 × 225
5 × 180
6 × 150
9 × 100
10 × 90
12 × 75
15 × 60
18 × 50
20 × 45
25 × 36
30 × 30

900 = 2² × 3² × 5² → (2 + 1) × (2 + 1) × (2 + 1) = 27 factors: add 1 to each exponent and multiply.

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See Also

Prime Number Checker - Find out whether a given number is Prime or not
Prime Factorization - Prime Factorization Calculator
Prime Numbers List - List of all Prime Numbers - how many Prime numbers are between

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Factors Table

Number	Factors
885	1, 3, 5, 15, 59, 177, 295, 885
886	1, 2, 443, 886
887	1, 887
888	1, 2, 3, 4, 6, 8, 12, 24, 37, 74, 111, 148, 222, 296, 444, 888
889	1, 7, 127, 889
890	1, 2, 5, 10, 89, 178, 445, 890
891	1, 3, 9, 11, 27, 33, 81, 99, 297, 891
892	1, 2, 4, 223, 446, 892
893	1, 19, 47, 893
894	1, 2, 3, 6, 149, 298, 447, 894
895	1, 5, 179, 895
896	1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 448, 896
897	1, 3, 13, 23, 39, 69, 299, 897
898	1, 2, 449, 898
899	1, 29, 31, 899
900	1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900
901	1, 17, 53, 901
902	1, 2, 11, 22, 41, 82, 451, 902
903	1, 3, 7, 21, 43, 129, 301, 903
904	1, 2, 4, 8, 113, 226, 452, 904
905	1, 5, 181, 905
906	1, 2, 3, 6, 151, 302, 453, 906
907	1, 907
908	1, 2, 4, 227, 454, 908
909	1, 3, 9, 101, 303, 909
910	1, 2, 5, 7, 10, 13, 14, 26, 35, 65, 70, 91, 130, 182, 455, 910
911	1, 911
912	1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456, 912
913	1, 11, 83, 913
914	1, 2, 457, 914

FAQ

What are the Factors of 900?

Factors of 900: 27 factors: 1, 2, 3, 4, 5 … 300, 450, 900

How many factors does 900 have?

Number 900 has 27 factors

How many Factor Pairs does 900 have?

Number 900 has 14 factor pairs

Is 900 a prime or composite number?

Composite: 900 = 2² × 3² × 5², so it has 27 factors — a prime has exactly two.

How many factors does 900 have excluding 1 and 900?

25 — all 27 factors except 1 and 900.

Why does 900 have an odd number of factors?

900 is a perfect square: in the pair 30 × 30 the factor 30 pairs with itself, so the 27 factors are 13 pairs plus 30.