Start with the prime factorization.
2^2 x 3^1 x 5^2 = 300
Add one to the exponents and multiply.
3 x 2 x 3 = 18
300 has 18 factors.
Nine of them will be less than the square root, nine will be greater.
The square root of 300 is between 17 and 18.
If we test all the numbers 1 to 17, we will find nine factors. Knowing the rules of divisibility will show us which ones to test.
1 is because 1 always is.
2 is because it's even.
3 is because its digits add up to a multiple of 3.
4 is because it's a multiple of 100.
5 is because it ends in zero.
6 is because 2 and 3 are.
10 is because it ends in zero
That leaves us two more between 10 and 17. Looking at the numbers we already have, I'd be tempted to test 12 and 15. Dividing those numbers into 300 gives us the rest.
All Factors of 300:
1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300
Answering this question fully would be time-consuming and counterproductive. It is the intent of this forum to give you information, perhaps a few examples, so that you can solve such problems yourself.
The factors of 100 are 1, 2, 4, 5, 10, 20, 25, 50, 100
2 and 5 are prime.
101 is a Prime number. Its only factors are 1 and 101.
Your turn.
The factors of 300 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150 and 300. They are the only numbers that will divide evenly into 300 with no remainder.
1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300
You need 2 numbers to work out any common factors...You are looking for any factors which are common to both numbers.
The smallest number that has 9 and 12 as factors is 36.
Yes.
All of the factors are prime.
12 of them.
All numbers are divisible. The factors of 300 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150 and 300. If you want to know the composite factors, delete 1, 2, 3 and 5.
300
Since 300 is a factor of 600, all of its factors are common.
The factors of 300 are: 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300
there are many, 300 is divisible by 100, and by 3, in fact by all its' factors. 300 = 2^2x3x5^2 This is known as its prime factorization. All the combinations of the prime factors form the factors of 300 For example, 300 is divisible by 2 and 2^2 and 2^x3=12
1,2,3,4,5,6,10,12,15,20,25,30,50,60,75,100,150, 300
2 3 5The prime factors of 300 are: 2,3,5
The common factors of 192 and 300 are 6 and 12
300 is not prime because it has factors that go into it evenly other than 1 and itself. 300's factors include: 1,2,3,4,5,6,10,12,15,20,25,30,50,60,75,100,150, and 300.
You need 2 numbers to work out any common factors...You are looking for any factors which are common to both numbers.
i know all the factors of 24 because i count and see what numbers go into 24
all except 9