Prime Factorization of 1625

"Prime Factorization" Calculator

What is the Prime Factorization of 1,625?

Answer

Prime Factors of 1,625:

5, 5, 5, 13

1625 = 5³ × 13 · composite · 8 factors · 4 prime factors counting repeats

Division ladder

1625	5
325	5
65	5
13	13
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
1,545	3, 5, 103
1,550	2 × 5² × 31
1,555	5, 311
1,560	2³ × 3 × 5 × 13
1,565	5, 313
1,570	2, 5, 157
1,575	3² × 5² × 7
1,580	2² × 5 × 79
1,585	5, 317
1,590	2, 3, 5, 53
1,600	2⁶ × 5²
1,605	3, 5, 107
1,610	2, 5, 7, 23
1,615	5, 17, 19
1,620	2² × 3⁴ × 5
1,625	5³ × 13
1,630	2, 5, 163
1,635	3, 5, 109
1,640	2³ × 5 × 41
1,645	5, 7, 47
1,650	2 × 3 × 5² × 11
1,655	5, 331
1,665	3² × 5 × 37
1,670	2, 5, 167
1,675	5² × 67
1,680	2⁴ × 3 × 5 × 7
1,690	2 × 5 × 13²
1,700	2² × 5² × 17
1,705	5, 11, 31
1,710	2 × 3² × 5 × 19

FAQ

What is the Prime Factorization of 1,625?

Prime Factors of 1,625: 5, 5, 5, 13

How many prime factors does 1,625 have?

Number 1,625 has 4 prime factors counting repeats; 2 different: 5 and 13.

What is the Prime Factorization of 1,625 in exponential form?

The Prime Factorization of the number 1,625 in the exponential form is: 5³ × 13