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Steve
Professor
LaoOh, what a happy little question! The largest perfect square factor of 210 is 49. Just like painting a beautiful landscape, finding factors is like discovering different colors to create a masterpiece. Keep exploring the world of numbers, and remember, there are no mistakes, just happy little accidents.
I suggest you factor the number into prime factors. Then it should be easy to figure out square factors - that would be any Prime number that appears twice.
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Does 42 and 168 and 210 have a common factor of 6?
No. 42 is a factor of both 168 and 210. The GCF is 42.
What are the factor pairs of 210?
The factor pairs of 210 are: 1 and 210 2 and 105 3 and 70 5 and 42 6 and 35 7 and 30 10 and 21 14 and 15
What is the square root of 210 simplified?
210 = 2*105 = 2*3*35 = 2*3*5*7. To simplify sqrt(210) you need a pair of factors to form a square. You can then take out the square root, which will be a whole number. Since 210 has no pair of factors, sqrt(210) cannot be simplified.
What is the greatest common factor of 140 168 and 210?
The GCF of 140, 168 and 210 is 14.
How do you find the greatest common factor of 210 and 308?
* One method is to factor each number into prime factors, and see what factors they have in common. 210 = 2x105 = 2x5x21 = 2x5x3x7, or 2x3x5x7. 308 = 2x154 = 2x2x77 = 2x2x7x11. The GCF is 2x7 = 14. * Another method (more efficient, especially for larger numbers) is Euclid's algorithm. In this case for example, the greatest common factor of 308 and 210 is the same as the greatest common factor of 210 and 98. This latter number is the remainder of the division of 308 by 210. Continue until one of the numbers is zero. In that case, the other one is the greatest common factor. 308/210 = 1, remainder 98 210/98 = 2, remainder 14 98/14 = 7, remainder 0. The previous remainder (14) is the GCF.
