Primes and divisors
A prime number can only be divided by 1 and itself. Find a number's prime factors and use them to find common denominators and simplify fractions.
Your numbers
Answer
Is 360 a prime number?
No
Prime factors
2^3 · 3^2 · 5
Number of divisors
24
Divisors: 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360
How to work it out
- 1360 : 2 = 180
- 2180 : 2 = 90
- 390 : 2 = 45
- 445 : 3 = 15
- 515 : 3 = 5
- 65 : 5 = 1
The formula
2, 3, 5, 7, 11, 13, 17, 19, 23, 29 …
A prime number can only be divided by 1 and itself. 1 is not a prime.
360 = 2³ · 3² · 5
Every whole number above 1 can be written as a product of primes in exactly one way.
SFD(a, b) · MFM(a, b) = a · b
The GCD is found with Euclid's algorithm: divide, and continue with the remainder until the remainder is 0.
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