Prime Factorization of 1300

"Prime Factorization" Calculator

What is the Prime Factorization of 1,300?

Answer

Prime Factors of 1,300:

2, 2, 5, 5, 13

1300 = 2² × 5² × 13 · composite · 18 factors · 5 prime factors counting repeats

Division ladder

1300	2
650	2
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
1,224	2³ × 3² × 17
1,225	5² × 7²
1,230	2, 3, 5, 41
1,232	2⁴ × 7 × 11
1,235	5, 13, 19
1,240	2³ × 5 × 31
1,245	3, 5, 83
1,250	2 × 5⁴
1,260	2² × 3² × 5 × 7
1,265	5, 11, 23
1,270	2, 5, 127
1,275	3 × 5² × 17
1,280	2⁸ × 5
1,285	5, 257
1,295	5, 7, 37
1,300	2² × 5² × 13
1,310	2, 5, 131
1,320	2³ × 3 × 5 × 11
1,325	5² × 53
1,335	3, 5, 89
1,340	2² × 5 × 67
1,345	5, 269
1,350	2 × 3³ × 5²
1,355	5, 271
1,360	2⁴ × 5 × 17
1,365	3, 5, 7, 13
1,375	5³ × 11
1,380	2² × 3 × 5 × 23
1,386	2 × 3² × 7 × 11
1,395	3² × 5 × 31

FAQ

What is the Prime Factorization of 1,300?

Prime Factors of 1,300: 2, 2, 5, 5, 13

How many prime factors does 1,300 have?

Number 1,300 has 5 prime factors counting repeats; 3 different: 2, 5 and 13.

What is the Prime Factorization of 1,300 in exponential form?

The Prime Factorization of the number 1,300 in the exponential form is: 2² × 5² × 13