Prime Factorization of 248

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What is the Prime Factorization of 248?

Answer

Prime Factors of 248:

2, 2, 2, 31

248 = 2³ × 31 · composite · 8 factors · 4 prime factors counting repeats

Division ladder

248	2
124	2
62	2
31	31
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
233	233
234	2 × 3² × 13
235	5, 47
236	2² × 59
237	3, 79
238	2, 7, 17
239	239
240	2⁴ × 3 × 5
241	241
242	2 × 11²
243	3⁵
244	2² × 61
245	5 × 7²
246	2, 3, 41
247	13, 19
248	2³ × 31
249	3, 83
250	2 × 5³
251	251
252	2² × 3² × 7
253	11, 23
254	2, 127
255	3, 5, 17
256	2⁸
257	257
258	2, 3, 43
259	7, 37
260	2² × 5 × 13
261	3² × 29
262	2, 131

FAQ

What is the Prime Factorization of 248?

Prime Factors of 248: 2, 2, 2, 31

How many prime factors does 248 have?

Number 248 has 4 prime factors counting repeats; 2 different: 2 and 31.

What is the Prime Factorization of 248 in exponential form?

The Prime Factorization of the number 248 in the exponential form is: 2³ × 31