# 300

## 300 is an even composite number composed of three prime numbers multiplied together.

What does the number 300 look like?

This visualization shows the relationship between its 3 prime factors (large circles) and 18 divisors.

300 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of eighteen divisors.

## Prime factorization of 300:

### 22 × 3 × 52

(2 × 2 × 3 × 5 × 5)

See below for interesting mathematical facts about the number 300 from the Numbermatics database.

### Names of 300

• Cardinal: 300 can be written as Three hundred.

### Scientific notation

• Scientific notation: 3 × 102

### Factors of 300

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 5
• Sum of prime factors: 10

### Divisors of 300

• Number of divisors d(n): 18
• Complete list of divisors:
• Sum of all divisors σ(n): 868
• Sum of proper divisors (its aliquot sum) s(n): 568
• 300 is an abundant number, because the sum of its proper divisors (568) is greater than itself. Its abundance is 268

### Bases of 300

• Binary: 1001011002
• Base-36: 8C

### Squares and roots of 300

• 300 squared (3002) is 90000
• 300 cubed (3003) is 27000000
• The square root of 300 is 17.3205080757
• The cube root of 300 is 6.6943295009

### Scales and comparisons

How big is 300?
• 300 seconds is equal to 5 minutes.
• To count from 1 to 300 would take you about two minutes.

This is a very rough estimate, based on a speaking rate of half a second every third order of magnitude. If you speak quickly, you could probably say any randomly-chosen number between one and a thousand in around half a second. Very big numbers obviously take longer to say, so we add half a second for every extra x1000. (We do not count involuntary pauses, bathroom breaks or the necessity of sleep in our calculation!)

• A cube with a volume of 300 cubic inches would be around 0.6 feet tall.

### Recreational maths with 300

• 300 backwards is 003
• 300 is a Harshad number.
• The number of decimal digits it has is: 3
• The sum of 300's digits is 3
• More coming soon!