Prime Factorization of 1025

"Prime Factorization" Calculator

What is the Prime Factorization of 1,025?

Answer

Prime Factors of 1,025:

5, 5, 41

1025 = 5² × 41 · composite · 6 factors · 3 prime factors counting repeats

Division ladder

1025	5
205	5
41	41
1

Left: what is left; right: the smallest prime that divides it; 1 at the bottom.

Second way — factor tree

Related Calculations

1025 in roman numerals

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
991	991
993	3, 331
994	2, 7, 71
995	5, 199
996	2² × 3 × 83
997	997
998	2, 499
999	3³ × 37
1,000	2³ × 5³
1,001	7, 11, 13
1,005	3, 5, 67
1,010	2, 5, 101
1,015	5, 7, 29
1,020	2² × 3 × 5 × 17
1,024	2¹⁰
1,025	5² × 41
1,029	3 × 7³
1,030	2, 5, 103
1,035	3² × 5 × 23
1,040	2⁴ × 5 × 13
1,045	5, 11, 19
1,050	2 × 3 × 5² × 7
1,055	5, 211
1,060	2² × 5 × 53
1,065	3, 5, 71
1,075	5² × 43
1,080	2³ × 3³ × 5
1,085	5, 7, 31
1,095	3, 5, 73
1,100	2² × 5² × 11

FAQ

What is the Prime Factorization of 1,025?

Prime Factors of 1,025: 5, 5, 41

How many prime factors does 1,025 have?

Number 1,025 has 3 prime factors counting repeats; 2 different: 5 and 41.

What is the Prime Factorization of 1,025 in exponential form?

The Prime Factorization of the number 1,025 in the exponential form is: 5² × 41