# 150

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

What does the number 150 look like?

This visualization shows the relationship between its 3 prime factors (large circles) and 12 divisors.

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

## Prime factorization of 150:

### 2 × 3 × 52

(2 × 3 × 5 × 5)

See below for interesting mathematical facts about the number 150 from the Numbermatics database.

### Names of 150

• Cardinal: 150 can be written as One hundred fifty.

### Scientific notation

• Scientific notation: 1.5 × 102

### Factors of 150

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 4
• Sum of prime factors: 10

### Divisors of 150

• Number of divisors d(n): 12
• Complete list of divisors:
• Sum of all divisors σ(n): 372
• Sum of proper divisors (its aliquot sum) s(n): 222
• 150 is an abundant number, because the sum of its proper divisors (222) is greater than itself. Its abundance is 72

### Bases of 150

• Binary: 100101102
• Base-36: 46

### Squares and roots of 150

• 150 squared (1502) is 22500
• 150 cubed (1503) is 3375000
• The square root of 150 is 12.2474487139
• The cube root of 150 is 5.3132928461

### Scales and comparisons

How big is 150?
• 150 seconds is equal to 2 minutes, 30 seconds.
• To count from 1 to 150 would take you about fifteen seconds.

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 150 cubic inches would be around 0.4 feet tall.

### Recreational maths with 150

• 150 backwards is 051
• 150 is a Harshad number.
• The number of decimal digits it has is: 3
• The sum of 150's digits is 6
• More coming soon!