# 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!

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Numbermatics. (2021). Number 150 - Facts about the integer. Retrieved 28 November 2021, from https://numbermatics.com/n/150/

Chicago style:
Numbermatics. 2021. "Number 150 - Facts about the integer". https://numbermatics.com/n/150/

The information we have on file for 150 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!

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