# 315

## 315 is an odd composite number composed of three prime numbers multiplied together.

What does the number 315 look like?

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

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

## Prime factorization of 315:

### 32 × 5 × 7

(3 × 3 × 5 × 7)

See below for interesting mathematical facts about the number 315 from the Numbermatics database.

### Names of 315

• Cardinal: 315 can be written as Three hundred fifteen.

### Scientific notation

• Scientific notation: 3.15 × 102

### Factors of 315

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 4
• Sum of prime factors: 15

### Divisors of 315

• Number of divisors d(n): 12
• Complete list of divisors:
• Sum of all divisors σ(n): 624
• Sum of proper divisors (its aliquot sum) s(n): 309
• 315 is a deficient number, because the sum of its proper divisors (309) is less than itself. Its deficiency is 6

### Bases of 315

• Binary: 1001110112
• Base-36: 8R

### Squares and roots of 315

• 315 squared (3152) is 99225
• 315 cubed (3153) is 31255875
• The square root of 315 is 17.7482393493
• The cube root of 315 is 6.8040921159

### Scales and comparisons

How big is 315?
• 315 seconds is equal to 5 minutes, 15 seconds.
• To count from 1 to 315 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 315 cubic inches would be around 0.6 feet tall.

### Recreational maths with 315

• 315 backwards is 513
• 315 is a Harshad number.
• The number of decimal digits it has is: 3
• The sum of 315's digits is 9
• More coming soon!