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How many positive factors does 2023 have?

1 Answer

5 votes

Explanation:

1 and 2023 yes as standard.

2 no (not an even number).

3 no (sum of the digits is 7 and not divisible by 3).

4 no (not an even number)

5 no (2023 dies not end with 5 or 0)

6 no (not an even number)

7 yes. and therefore also 2023/7 = 289

7 has no other factors, so 289 is the remaining part with potentially other prime factors.

289 = 17², so 17 is another factor.

but 17 is again a prime number and has no other factors.

2023 = 7×17×17

and so, 7×17 = 119 is also a factor of 2023.

so, we have as factors :

1, 7, 17, 119, 289, 2023

that means 6 factors in 2023.

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User SFeng
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