1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360
And here's how it's done:
360 /2 (divide by two and but the answer below)
180 /2
90 /2
45 /5 (We can't divide by 2 anymore because 45 is not even, so divide by 5)
9 /3 (can't divide by 5, so now by 3)
3 (three is left)
now take 2, 2, 2, 5, 3, 3. These are the prime factors. Now take every possible combination (e.g. 2*2*3*3 = 36). There's no simple way to do it, but you can certainly find a systematic way to do it.
360, 420 and 480 all have 24 factors.
The prime factors of 84 are: 2,3,7The prime factors of 360 are: 2,3,5
360.
Tradition. The Egyptians did it first, and it caught on. It worked so well, that the Egyptian originally thought there were 360 days in a year.360 is extraordinarily useful as a number to divide into with its quite large number of factors, so we still use it for circular measurement.
To find the smallest number that 360 needs to be multiplied by to get a perfect square, we first factorize 360 into its prime factors: 2^3 * 3^2 * 5. To make it a perfect square, we need to pair up these factors. Since 2 and 5 are not paired, the smallest number we need to multiply 360 by is 5, making it 1800 (2^3 * 3^2 * 5^2), which is a perfect square.
360, 420 and 480 all have 24 factors.
360
360, 420 and 480 each have 24 factors.
360, 420 and 480 each have 24 factors.
The prime factors of 84 are: 2,3,7The prime factors of 360 are: 2,3,5
360
360.
An even number that has 24 factors is 360. These are the 24 factors. 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360
A prime number is a number with two and only two factors: 1 (also known as unity) and itself. A composite number is a number with more than two factors; in other words, it has at least one factor besides 1 and itself. 360 has factors other than 1 and itself, so it is not a prime number. For example, it is divisible by 5. (You can tell this because the last digit is a 0. If the last digit - the digit in the ones place - is a 5 or a 0, the number is divisible by 5.) Therefore, 360 is a composite number.
360 has 3 prime factors: 2, 3 and 5
137 is a Prime Number, meaning it is not divisible by any numbers except 1, and itself. Also, it is not a factor of 360. So the only common factor of 137 and 360 is 1.
Tradition. The Egyptians did it first, and it caught on. It worked so well, that the Egyptian originally thought there were 360 days in a year.360 is extraordinarily useful as a number to divide into with its quite large number of factors, so we still use it for circular measurement.