Prime Factorization of 408

"Prime Factorization" Calculator

What is the Prime Factorization of 408?

Answer

Prime Factors of 408:

2, 2, 2, 3, 17

408 = 2³ × 3 × 17 · composite · 16 factors · 5 prime factors counting repeats

Division ladder

408	2
204	2
102	2
51	3
17	17
1

Left: what is left; right: the smallest prime that divides it; 1 at the bottom.

Second way — factor tree

Related Calculations

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
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
407	11, 37
408	2³ × 3 × 17
409	409
410	2, 5, 41
411	3, 137
412	2² × 103
413	7, 59
414	2 × 3² × 23
415	5, 83
416	2⁵ × 13
417	3, 139
418	2, 11, 19
419	419
420	2² × 3 × 5 × 7
421	421
422	2, 211

FAQ

What is the Prime Factorization of 408?

Prime Factors of 408: 2, 2, 2, 3, 17

How many prime factors does 408 have?

Number 408 has 5 prime factors counting repeats; 3 different: 2, 3 and 17.

What is the Prime Factorization of 408 in exponential form?

The Prime Factorization of the number 408 in the exponential form is: 2³ × 3 × 17