Prime Factorization of 2400

"Prime Factorization" Calculator

What is the prime factorization of 2,400?

Answer

Prime Factors of 2,400:

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

2400 = 2⁵ × 3 × 5² · composite · 36 factors · 8 prime factors counting repeats

Division ladder

2400	2
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

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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
2,265	3, 5, 151
2,275	5² × 7 × 13
2,280	2³ × 3 × 5 × 19
2,285	5, 457
2,288	2⁴ × 11 × 13
2,300	2² × 5² × 23
2,310	2, 3, 5, 7, 11
2,315	5, 463
2,330	2, 5, 233
2,340	2² × 3² × 5 × 13
2,345	5, 7, 67
2,350	2 × 5² × 47
2,375	5³ × 19
2,385	3² × 5 × 53
2,390	2, 5, 239
2,400	2⁵ × 3 × 5²
2,430	2 × 3⁵ × 5
2,445	3, 5, 163
2,450	2 × 5² × 7²
2,465	5, 17, 29
2,475	3² × 5² × 11
2,480	2⁴ × 5 × 31
2,490	2, 3, 5, 83
2,500	2² × 5⁴
2,515	5, 503
2,520	2³ × 3² × 5 × 7
2,525	5² × 101
2,535	3 × 5 × 13²
2,540	2² × 5 × 127
2,545	5, 509

FAQ

What is the prime factorization of 2,400?

Prime Factors of 2,400: 2, 2, 2, 2, 2, 3, 5, 5

How many prime factors does 2,400 have?

Number 2,400 has 8 prime factors counting repeats; 3 different: 2, 3 and 5.

What is the prime factorization of 2,400 in exponential form?

The prime factorization of the number 2,400 in the exponential form is: 2⁵ × 3 × 5²