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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
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What goes into both 30 and 231?
three 30/10 = 3 = 231/77
How many times does 77 go into 231?
To find out how many times 77 goes into 231, you would divide 231 by 77. The result of this division would be 3, as 77 can go into 231 three times without any remainder. Therefore, 77 goes into 231 three times.
How many times does 20 go into 231?
Well, isn't that a happy little question! Let's see here... If we take 231 and divide it by 20, we find that it goes in about 11 times with a remainder of 11. So, 20 goes into 231 about 11 times, leaving a little extra. Just remember, there are no mistakes, only happy little accidents in math!
How many times does 11 go into 231?
Well, let's take a moment to appreciate the beauty of numbers. If you gently divide 231 by 11, you'll find that it goes in 21 times. Remember, there are no mistakes in math, just happy little numbers finding their place.
How many times does 42 go into 231?
To calculate how many times 42 goes into 231, you would perform the division operation 231 ÷ 42. The quotient is the result of this division, which is 5.5. However, since 42 cannot go into 231 exactly, we must consider that the answer should be a whole number. Therefore, 42 goes into 231 a total of 5 times with a remainder of 21.
