Study Guides/Maths/Factors of 15
Study Guide · Maths

Factors of 15 and Prime Factorization

In Mathematics, the factors of a number are all the integers that can divide that number exactly, leaving a remainder of zero. Let's find all the factors of the number 15.

Question (Click to Flip)

What are all the factors of 15?

Answer

The factors of 15 are the numbers 1, 3, 5, and 15.

Card 1 of 2 free previews

Key Facts

Factors of 15: 1, 3, 5, 15.

Total number of factors: 4.

Prime factors: 3 and 5.

Type: 15 is an Odd Composite Number (because it has more than 2 factors).

What are the Factors of 15?

To find the factors, we look for pairs of numbers that multiply together to give 15:

  • 1 × 15 = 15
  • 3 × 5 = 15

Therefore, the factors of 15 are: 1, 3, 5, and 15.

Factor Pairs of 15

A factor pair is a set of two numbers that multiply to give 15. Since multiplying two negative numbers gives a positive product, we have positive and negative pairs:

  • Positive pairs: (1, 15), (3, 5)
  • Negative pairs: (-1, -15), (-3, -5)

Prime Factorization of 15

Prime factorization means breaking down the number into a set of prime numbers that multiply together to give the original number.

  • Divide 15 by the smallest possible prime number (3): 15 ÷ 3 = 5
  • 5 is a prime number, so we stop here.

Prime Factorization of 15 = 3 × 5 (Note: 1 is not a prime number, so it is never included in prime factorization).

Questions and Answers

What are all the factors of 15?+

The factors of 15 are the numbers 1, 3, 5, and 15.

What is the prime factorization of 15?+

The prime factorization of 15 is 3 × 5.

More in Maths

Study Smarter with Shinyu.ai

Turn this guide into revision flashcards, a practice exam, or an AI-generated podcast — free, no signup required.