Prime Factorization of 392

"Prime Factorization" Calculator

What is the Prime Factorization of 392?

Answer

Prime Factors of 392:

2, 2, 2, 7, 7

392 = 2³ × 7² · composite · 12 factors · 5 prime factors counting repeats

Division ladder

392	2
196	2
98	2
49	7
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
377	13, 29
378	2 × 3³ × 7
379	379
380	2² × 5 × 19
381	3, 127
382	2, 191
383	383
384	2⁷ × 3
385	5, 7, 11
386	2, 193
387	3² × 43
388	2² × 97
389	389
390	2, 3, 5, 13
391	17, 23
392	2³ × 7²
393	3, 131
394	2, 197
395	5, 79
396	2² × 3² × 11
397	397
398	2, 199
399	3, 7, 19
400	2⁴ × 5²
401	401
402	2, 3, 67
403	13, 31
404	2² × 101
405	3⁴ × 5
406	2, 7, 29

FAQ

What is the Prime Factorization of 392?

Prime Factors of 392: 2, 2, 2, 7, 7

How many prime factors does 392 have?

Number 392 has 5 prime factors counting repeats; 2 different: 2 and 7.

What is the Prime Factorization of 392 in exponential form?

The Prime Factorization of the number 392 in the exponential form is: 2³ × 7²