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:
1 3 5 7 9 15 21 35 45 63 105 315
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
Hexadecimal: 0x13B
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!

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The information we have on file for 315 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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