three
30/10 = 3 = 231/77
28 goes into 7 and 2, while 30 goes into 15 and 2.
The HCF of both numbers is 6
To determine factors of a number it is necessary to divide the number by prime numbers of increasing value. If there is no remainder then the prime number is a factor. The square root of 231 is approximately 15 so it is necessary to divide by all the prime numbers up to 13 (15 is not a prime number). 231 ÷ 2 leaves a remainder of 1 231 ÷ 3 divides exactly 77 times (which is 7 x 11 - both are prime numbers) 231 ÷ 5 leaves a remainder of 1 231 ÷ 7 divides exactly 33 times (which is 3 x 11 - both are prime numbers) 231 ÷ 11 divides exactly 21 times (which is 3 x 7 - both are prime numbers) 231 ÷ 13 leaves a remainder of 10 If we multiply together the three numbers that are shown to be factors 3 x 7 x 11 = 231 this confirms that there are no other factors of 231 except 1 and 231 itself. This last condition is true for every positive integer. 231 is divisible by 1, 3, 7, 11 and 231
Factorizations for 231 are: 1) 231 = 1x231 2) 231 = 3x7x11 3) 231 = 21x11 4) 231 = 3x77 5) 231 = 33x7
7 and 3
30/231 = 10/77
28 goes into 7 and 2, while 30 goes into 15 and 2.
200 + 30 + 1 = 231 3 x 7 x 11 = 231
24 goes into 231 as decimal 9.625 times
69
231
3
3 goes into 231 77 times.231 ÷ 3 = 77
2,3, and 6 all go into both 24 and 30
1 and 3.
The HCF of both numbers is 10
1 and 3.