Prime Factorization of 7200

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What is the Prime Factorization of 7,200?

Answer

Prime Factors of 7,200:

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

7200 = 2⁵ × 3² × 5² · composite · 54 factors · 9 prime factors counting repeats

Division ladder

7200	2
3600	2
1800	2
900	2
450	2
⋮
5	5
1

all 9 steps

7200	2
3600	2
1800	2
900	2
450	2
225	3
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

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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
7,095	3, 5, 11, 43
7,100	2² × 5² × 71
7,105	5 × 7² × 29
7,110	2 × 3² × 5 × 79
7,120	2⁴ × 5 × 89
7,125	3 × 5³ × 19
7,140	2² × 3 × 5 × 7 × 17
7,150	2 × 5² × 11 × 13
7,155	3³ × 5 × 53
7,160	2³ × 5 × 179
7,165	5, 1433
7,170	2, 3, 5, 239
7,175	5² × 7 × 41
7,180	2² × 5 × 359
7,185	3, 5, 479
7,200	2⁵ × 3² × 5²
7,205	5, 11, 131
7,210	2, 5, 7, 103
7,215	3, 5, 13, 37
7,220	2² × 5 × 19²
7,225	5² × 17²
7,235	5, 1447
7,240	2³ × 5 × 181
7,255	5, 1451
7,260	2² × 3 × 5 × 11²
7,265	5, 1453
7,275	3 × 5² × 97
7,280	2⁴ × 5 × 7 × 13
7,290	2 × 3⁶ × 5
7,300	2² × 5² × 73

FAQ

What is the Prime Factorization of 7,200?

Prime Factors of 7,200: 2, 2, 2, 2, 2, 3, 3, 5, 5

How many prime factors does 7,200 have?

Number 7,200 has 9 prime factors counting repeats; 3 different: 2, 3 and 5.

What is the Prime Factorization of 7,200 in exponential form?

The Prime Factorization of the number 7,200 in the exponential form is: 2⁵ × 3² × 5²