How many of the first million positive integers share no common factors greater than 1 with 2020

Answers

Answer 1

9514 1404 393

Answer:

  396,040

Step-by-step explanation:

Factors of 2020 are 2, 5, 101.

There are 1,000,000 / 1010 = 990 multiples of 2 and 5 and 101.

There are 1,000,000 / 505 -990 = 990 multiples of 5 and 101 only.

There are 1,000,000 / 202 -990 = 3,960 multiples of 2 and 101 only.

There are 1,000,000 / 10 - 990 = 99,010 multiples of 2 and 5 only.

There are 1,000,000 / 101 -990 -990 -3960 = 3,960 multiples of 101 only.

There are 1,000,000 / 5 -990 -990 -99,010 = 99,010 multiples of 5 only.

There are 1,000,000 / 2 -990 -3960 -99,010 = 396,040 multiples of 2 only.

So, the total number of multiples of any factor of 2020 is ...

  990 +990 +3960 +99,010 +3960 +99010 +396040 = 603960

Then the number of integers in the first million that do not share any common factors greater than 1 with 2020 is ...

  1,000,000 -603,960 = 396,040


Related Questions

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Step-by-step explanation:

Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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Answer:

x = 3

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Step-by-step explanation:

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Checking:

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Answer:

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Step-by-step explanation:

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Answer:

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Answers

Step-by-step explanation:

4,6 and 8 are composite numbers

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Answer:

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Answers

Answer:

The probability is 1/8 that you'll pick 2 yellow balls.

Step-by-step explanation:

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George invested $3,600 in an account for 3 years. After 3 years he had earned $540 in interest. What is the simple interest rate on his account?

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Step-by-step explanation:

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Answer:

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Answer:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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Answer:

u = -10

Step-by-step explanation:

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Jeremy can type 220 words in 4 minutes. That means he can type how many words per minute?​

Answers

Answer:

55

Step-by-step explanation:

220 divided by 4, is 55.

Do 220/4

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Answer:

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Answers

Answer:

31

Step-by-step explanation:

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Answers

Answer:

(7 , 5)

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Add all the x-axis then divide by 3

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Answers

Answer:

The best way to help is to get some water or get some sleep.It is either because you didn't get enough sleep or that you are dehydrated.

Step-by-step explanation:

Answer:

Drink a soda the instant you feel one coming on- sugar and caffeine tend to help.

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Try an OTC medicine.

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try to massage your neck yourself. it could help.

try to use a cold or a hot compress on your head.

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Step-by-step explanation:

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Answers

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Answers

Step-by-step explanation:

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Y: 1, 3, 4           since theirs two 1s you only put one

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Have a safe and happy new year :)

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Answers

Number one I think I’m so sorry if I’m wrong !!
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Answers

Answer:

5

Step-by-step explanation:

3-(-2)=5

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Answer:

0

Step-by-step explanation:

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Solve: -35/-7

A: 7
B: -7
C: 42
D: -42

Answers

Answer:

D.

Step-by-step explanation:

You see, this is simple division. Let's divide it.

-35/-7 = -42

_____________________

Don't let the other options confuse you. negative dividing is just the same as regular, just negative ^^

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