Prime Factorization of 1323000

"Prime Factorization" Calculator

What is the prime factorization of 1,323,000?

Answer

Prime Factors of 1,323,000:

2, 2, 2, 3, 3, 3, 5, 5, 5, 7, 7

1323000 = 2³ × 3³ × 5³ × 7² · composite · 192 factors · 11 prime factors counting repeats

Division ladder

1323000	2
661500	2
330750	2
165375	3
55125	3
⋮
7	7
1

all 11 steps

1323000	2
661500	2
330750	2
165375	3
55125	3
18375	3
6125	5
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

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
1,110,000	2⁴ × 3 × 5⁴ × 37
1,120,000	2⁸ × 5⁴ × 7
1,150,000	2⁴ × 5⁵ × 23
1,170,000	2⁴ × 3² × 5⁴ × 13
1,180,000	2⁵ × 5⁴ × 59
1,190,000	2⁴ × 5⁴ × 7 × 17
1,210,000	2⁴ × 5⁴ × 11²
1,220,000	2⁵ × 5⁴ × 61
1,230,000	2⁴ × 3 × 5⁴ × 41
1,240,000	2⁶ × 5⁴ × 31
1,250,000	2⁴ × 5⁷
1,280,000	2¹¹ × 5⁴
1,300,000	2⁵ × 5⁵ × 13
1,310,000	2⁴ × 5⁴ × 131
1,320,000	2⁶ × 3 × 5⁴ × 11
1,323,000	2³ × 3³ × 5³ × 7²
1,330,000	2⁴ × 5⁴ × 7 × 19
1,340,000	2⁵ × 5⁴ × 67
1,350,000	2⁴ × 3³ × 5⁵
1,370,000	2⁴ × 5⁴ × 137
1,390,000	2⁴ × 5⁴ × 139
1,400,000	2⁶ × 5⁵ × 7
1,440,000	2⁸ × 3² × 5⁴
1,450,000	2⁴ × 5⁵ × 29
1,460,000	2⁵ × 5⁴ × 73
1,477,999	1,477,999
1,480,000	2⁶ × 5⁴ × 37
1,490,000	2⁴ × 5⁴ × 149
1,500,000	2⁵ × 3 × 5⁶
1,510,000	2⁴ × 5⁴ × 151

FAQ

What is the prime factorization of 1,323,000?

Prime Factors of 1,323,000: 2, 2, 2, 3, 3, 3, 5, 5, 5, 7, 7

How many prime factors does 1,323,000 have?

Number 1,323,000 has 11 prime factors counting repeats; 4 different: 2, 3, 5 and 7.

What is the prime factorization of 1,323,000 in exponential form?

The prime factorization of the number 1,323,000 in the exponential form is: 2³ × 3³ × 5³ × 7²