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315

Number 315: Properties, Factors, and Mathematical Facts

Short answer

The number 315 is an odd composite number with 12 positive divisors. Its prime factorization is 3² × 5 × 7. It is also a deficient number, which gives it several notable mathematical relationships.

Is 315 prime?

ClassificationCompositeParityOddDivisor count12AbundanceDeficient

What is the prime factorization of 315?

Prime factorization

315 =
3 squared times 5 times 7
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What are the divisors of 315?

Divisor count

12

Divisor sum

624

Proper divisor sum

309
  • 1
  • 3
  • 5
  • 7
  • 9
  • 15
  • 21
  • 35
  • 45
  • 63
  • 105
  • 315
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How is 315 classified?

Prime

CompositeLearn more →

Perfect square

No

Perfect cube

No

Fibonacci

No

Triangular

No

Power of two

No
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How is 315 represented in other numeral systems?

Decimal

315

Binary

100111011
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Octal

473

Hexadecimal

13B
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Roman

CCCXVLearn more →

In words

three hundred fifteen

Roots and powers

Square root

17.748239 Approximate

Cube root

6.804092 Approximate

Nearest lower square

289

Nearest higher square

324

Nearest lower cube

216

Nearest higher cube

343

What are the digit properties of 315?

Digit count

3

Digit sum

9Learn more →

Digit product

15

Digital root

9

Reversed number

513

Which numbers are related to 315?

314· Previous316· Next313· Previous prime317· Next prime3· Prime factor5· Prime factor7· Prime factor289· Lower square324· Higher square300· Previous triangular325· Next triangular630· Double

Why these results are true

  • 315 is composite because it has positive divisors other than 1 and itself.

Compare this number

FAQ for 315

Is 315 prime?
No
What is the prime factorization of 315?
3² × 5 × 7
Is 315 a perfect square?
No
What is 315 in binary?
100111011
What is 315 in Roman numerals?
CCCXV

Read calculation methodology