Factors of 15 are the numbers that give the original number 15 when multiplied together in pairs. In other words, we can say the numbers which divide 15 completely, leaving no remainder, are its factors. The numbers composite in nature, such as 18, 12, 24, 35, etc., have factors. Whereas the multiples of 15 are the extended times of 15, such as, 15 , 30, 45, 60, 75, 90, 105, 120, 135, 150, 165, 180, 195, 210, 225, 240, 255, 270, 285, 300, 315 and so on. To find the factors of a number, we use the multiplication method.
Factors Of 15 in Pairs
We can find the pair factors of 15, by multiplying two numbers in a pair to get the result as 15, such as:
1 × 15 = 15
3 × 5 = 15
Therefore,
Factors Of 15 |
1, 3, 5 and 15 |
Prime Factorisation of 15
The number 15 is a composite number. Now let us find the prime factor of 15.
- The first step is to divide the number 15 with the smallest prime number, i.e. 2.
15 ÷ 2 = 7.5
But, factors cannot be decimal, therefore, 2 is not the prime factor for 15.
- Now, proceed to the next prime number, i.e. 3.
15 ÷ 3 = 5
- Again divide 5 by 3.
5 ÷ 3 = 1.67, which is a fraction number again.
Therefore, proceed to the next prime number, i.e. 5.
- Divide 5 by 5.
5 ÷ 5 = 1
- We have received 1 at the end and further, we cannot proceed with the division method. So, the prime factorization of 15 is 3 × 5, where 3 and 5 both are prime numbers.
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Frequently Asked Questions on Factors of 15 – FAQs
What are the multiples of 15?
15, 30, 45, 60, 75, 90, 105, 120, 135, 150, and so on.
What are the factors of 15 and 24?
The factors of 24 are: 1, 2, 3, 4, 6, 8, 12, 24