Prime Factorization of 1440

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What is the Prime Factorization of 1,440?

Answer

Prime Factors of 1,440:

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

1440 = 2⁵ × 3² × 5 · composite · 36 factors · 8 prime factors counting repeats

Division ladder

1440	2
720	2
360	2
180	2
90	2
45	3
15	3
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
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
1,400	2³ × 5² × 7
1,410	2, 3, 5, 47
1,415	5, 283
1,420	2² × 5 × 71
1,425	3 × 5² × 19
1,430	2, 5, 11, 13
1,435	5, 7, 41
1,440	2⁵ × 3² × 5
1,445	5 × 17²
1,450	2 × 5² × 29
1,455	3, 5, 97
1,460	2² × 5 × 73
1,465	5, 293
1,470	2 × 3 × 5 × 7²
1,475	5² × 59
1,480	2³ × 5 × 37
1,485	3³ × 5 × 11
1,490	2, 5, 149
1,495	5, 13, 23
1,500	2² × 3 × 5³
1,505	5, 7, 43
1,510	2, 5, 151

FAQ

What is the Prime Factorization of 1,440?

Prime Factors of 1,440: 2, 2, 2, 2, 2, 3, 3, 5

How many prime factors does 1,440 have?

Number 1,440 has 8 prime factors counting repeats; 3 different: 2, 3 and 5.

What is the Prime Factorization of 1,440 in exponential form?

The Prime Factorization of the number 1,440 in the exponential form is: 2⁵ × 3² × 5