Prime Factorization of 1680000

"Prime Factorization" Calculator

What is the prime factorization of 1,680,000?

Answer

Prime Factors of 1,680,000:

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

1680000 = 2⁷ × 3 × 5⁴ × 7 · composite · 160 factors · 13 prime factors counting repeats

Division ladder

1680000	2
840000	2
420000	2
210000	2
105000	2
⋮
7	7
1

all 13 steps

1680000	2
840000	2
420000	2
210000	2
105000	2
52500	2
26250	2
13125	3
4375	5
875	5
175	5
35	5
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
1,460,000	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
1,540,000	2⁵ × 5⁴ × 7 × 11
1,550,000	2⁴ × 5⁵ × 31
1,570,000	2⁴ × 5⁴ × 157
1,590,000	2⁴ × 3 × 5⁴ × 53
1,610,000	2⁴ × 5⁴ × 7 × 23
1,630,000	2⁴ × 5⁴ × 163
1,640,000	2⁶ × 5⁴ × 41
1,650,000	2⁴ × 3 × 5⁵ × 11
1,660,000	2⁵ × 5⁴ × 83
1,680,000	2⁷ × 3 × 5⁴ × 7
1,690,000	2⁴ × 5⁴ × 13²
1,700,000	2⁵ × 5⁵ × 17
1,710,000	2⁴ × 3² × 5⁴ × 19
1,720,000	2⁶ × 5⁴ × 43
1,740,000	2⁵ × 3 × 5⁴ × 29
1,750,000	2⁴ × 5⁶ × 7
1,760,000	2⁸ × 5⁴ × 11
1,770,000	2⁴ × 3 × 5⁴ × 59
1,780,000	2⁵ × 5⁴ × 89
1,790,000	2⁴ × 5⁴ × 179
1,810,000	2⁴ × 5⁴ × 181
1,840,000	2⁷ × 5⁴ × 23
1,850,000	2⁴ × 5⁵ × 37
1,860,000	2⁵ × 3 × 5⁴ × 31

FAQ

What is the prime factorization of 1,680,000?

Prime Factors of 1,680,000: 2, 2, 2, 2, 2, 2, 2, 3, 5, 5, 5, 5, 7

How many prime factors does 1,680,000 have?

Number 1,680,000 has 13 prime factors counting repeats; 4 different: 2, 3, 5 and 7.

What is the prime factorization of 1,680,000 in exponential form?

The prime factorization of the number 1,680,000 in the exponential form is: 2⁷ × 3 × 5⁴ × 7