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Problema de matemáticas

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Subido el 22 de mayo de 2019 por Carlos M.

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Hey, this is Presh Talwalkar reminding you to mind your decisions. 00:00:00
Congratulations to Daniel Mai, 13 years old, for winning the 2019 Raytheon Math Counts 00:00:04
National Competition. 00:00:10
The prize includes a $20,000 college scholarship. 00:00:12
The final round was a speed test competition between Mai and Suyash Pandit. 00:00:16
It was pencil and paper only, no calculators were allowed. 00:00:21
Here's the question that sealed the victory. 00:00:25
What is the quotient of 5040 divided by the product of its unique prime factors? 00:00:28
Pause the video right now if you'd like to give it a try, and when you're ready, keep 00:00:34
watching the video for a solution. 00:00:38
To solve this problem, we need to find the prime factorization of 5040. 00:00:55
Since it's an even number, it's divisible by 2. 00:00:59
Since 2520 is an even number, we can divide by 2 again. 00:01:02
And then 1260 is an even number, so we divide by 2 again. 00:01:06
630 is also even, so we divide by 2 again. 00:01:10
315 is odd, so we can't divide by 2 any more times. Now the digits of 00:01:14
315 are 3, 1, and 5. If we add them together we get 9. So 315 will be divisible by 9. 00:01:19
So it will be divisible by 3, and it'll be divisible by 3 again. 00:01:27
Now 35 is equal to 5 times 7. This is the prime factorization of 5040. 00:01:32
We need the quotient of this with it's unique prime factors. 00:01:40
The unique prime factors are 2, 3, 5, and 7. 00:01:45
We divide both sides by 2, 3, 5, and 7, and we end up with the quotient of 5040 by it's unique prime factors. 00:01:49
The result will be 2 cubed times 3, and that's equal to 24. 00:01:57
And that's our answer. 00:02:01
It took me a couple of minutes to do this calculation and to be sure that I got the correct answer. 00:02:03
but Mai solved this question in only seconds. 00:02:08
Congratulations again! 00:02:11
And who knows, with all the smart viewers on Mind Your Decisions, 00:02:14
maybe the winner of next year's Math Counts competition 00:02:18
is watching this video right now. 00:02:21
Thanks for watching and for making Mind Your Decisions 00:02:24
one of the best channels on YouTube. 00:02:27
Thanks for watching and thanks for your support. 00:02:29
Subido por:
Carlos M.
Licencia:
Reconocimiento - No comercial
Visualizaciones:
68
Fecha:
22 de mayo de 2019 - 18:55
Visibilidad:
Clave
Centro:
IES RAMIRO DE MAEZTU
Duración:
02′ 44″
Relación de aspecto:
1.78:1
Resolución:
1280x720 píxeles
Tamaño:
3.46 MBytes

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