Prime Factorization of 1225

"Prime Factorization" Calculator

What is the Prime Factorization of 1,225?

Answer

Prime Factors of 1,225:

5, 5, 7, 7

1225 = 5² × 7² · composite · 9 factors · 4 prime factors counting repeats

Division ladder

1225	5
245	5
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
1,150	2 × 5² × 23
1,155	3, 5, 7, 11
1,160	2³ × 5 × 29
1,165	5, 233
1,170	2 × 3² × 5 × 13
1,175	5² × 47
1,185	3, 5, 79
1,190	2, 5, 7, 17
1,195	5, 239
1,200	2⁴ × 3 × 5²
1,205	5, 241
1,210	2 × 5 × 11²
1,215	3⁵ × 5
1,220	2² × 5 × 61
1,224	2³ × 3² × 17
1,225	5² × 7²
1,230	2, 3, 5, 41
1,232	2⁴ × 7 × 11
1,235	5, 13, 19
1,240	2³ × 5 × 31
1,245	3, 5, 83
1,250	2 × 5⁴
1,260	2² × 3² × 5 × 7
1,265	5, 11, 23
1,270	2, 5, 127
1,275	3 × 5² × 17
1,280	2⁸ × 5
1,285	5, 257
1,295	5, 7, 37
1,300	2² × 5² × 13

FAQ

What is the Prime Factorization of 1,225?

Prime Factors of 1,225: 5, 5, 7, 7

How many prime factors does 1,225 have?

Number 1,225 has 4 prime factors counting repeats; 2 different: 5 and 7.

What is the Prime Factorization of 1,225 in exponential form?

The Prime Factorization of the number 1,225 in the exponential form is: 5² × 7²