Prime Factorization of 1200

"Prime Factorization" Calculator

What is the Prime Factorization of 1,200?

Answer

Prime Factors of 1,200:

2, 2, 2, 2, 3, 5, 5

1200 = 2⁴ × 3 × 5² · composite · 30 factors · 7 prime factors counting repeats

Division ladder

1200	2
600	2
300	2
150	2
75	3
25	5
5	5
1

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

Second way — factor tree

Related Calculations

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
1,115	5, 223
1,120	2⁵ × 5 × 7
1,125	3² × 5³
1,135	5, 227
1,140	2² × 3 × 5 × 19
1,145	5, 229
1,150	2 × 5² × 23
1,155	3, 5, 7, 11
1,160	2³ × 5 × 29
1,165	5, 233
1,170	2 × 3² × 5 × 13
1,175	5² × 47
1,185	3, 5, 79
1,190	2, 5, 7, 17
1,195	5, 239
1,200	2⁴ × 3 × 5²
1,205	5, 241
1,210	2 × 5 × 11²
1,215	3⁵ × 5
1,220	2² × 5 × 61
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

FAQ

What is the Prime Factorization of 1,200?

Prime Factors of 1,200: 2, 2, 2, 2, 3, 5, 5

How many prime factors does 1,200 have?

Number 1,200 has 7 prime factors counting repeats; 3 different: 2, 3 and 5.

What is the Prime Factorization of 1,200 in exponential form?

The Prime Factorization of the number 1,200 in the exponential form is: 2⁴ × 3 × 5²