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
  • 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!

Copy this link to share with anyone:

Share this page on social media:

Link to this page

HTML: To link to this page, just copy and paste the link below into your blog, web page or email.

BBCODE: To link to this page in a forum post or comment box, just copy and paste the link code below:

Cite this page

MLA style:
"Number 315 - Facts about the integer". Numbermatics.com. 2023. Web. 4 October 2023.

APA style:
Numbermatics. (2023). Number 315 - Facts about the integer. Retrieved 4 October 2023, from https://numbermatics.com/n/315/

Chicago style:
Numbermatics. 2023. "Number 315 - Facts about the integer". https://numbermatics.com/n/315/

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!

Keywords: Divisors of 315, math, Factors of 315, curriculum, school, college, exams, university, Prime factorization of 315, STEM, science, technology, engineering, physics, economics, calculator, three hundred fifteen.

Oh no. Javascript is switched off in your browser.
Some bits of this website may not work unless you switch it on.