Prime Factorization of 1400

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What is the Prime Factorization of 1,400?

Answer

Prime Factors of 1,400:

2, 2, 2, 5, 5, 7

1400 = 2³ × 5² × 7 · composite · 24 factors · 6 prime factors counting repeats

Division ladder

1400	2
700	2
350	2
175	5
35	5
7	7
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
1,300	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
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

FAQ

What is the Prime Factorization of 1,400?

Prime Factors of 1,400: 2, 2, 2, 5, 5, 7

How many prime factors does 1,400 have?

Number 1,400 has 6 prime factors counting repeats; 3 different: 2, 5 and 7.

What is the Prime Factorization of 1,400 in exponential form?

The Prime Factorization of the number 1,400 in the exponential form is: 2³ × 5² × 7