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The prime numbers less than 10 are 2, 3, 5, and 7. There are several possibilities for the answer to this question since we do not know how many prime factors there are. We know that all of them are less than 10 and they do not repeat. However, we do not know whether the prime factors are all of the the prime numbers less than 10 or a selection of them.

Possibilities:

2 x 3 = 6

2 x 5 = 10

2 x 7 = 14

3 x 5 = 15

3 x 7 = 21

5 x 7 = 35

2 x 3 x 5 = 30

2 x 3 x 7 = 42

2 x 5 x 7 = 70

3 x 5 x 7 = 105

2 x 3 x 5 x 7 = 210

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Q: If the prime factors of a number are all prime numbers less than 10 and no factors repeat what is the number?
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Related questions

What is the prime numbers for 374?

To find the prime factors of any number then divide the number by prime numbers of increasing value. When a prime number wholly divides the original number repeat the process with the same prime number but each time with the new quotient until complete division does not occur. Repeat with a prime number of higher value until the final quotient is 1. Using this process gives the prime factors of 374 as 2, 11 and 17.


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Prime numbers have two factors. Prime squares have three factors. Square numbers have an odd number of factors but that number varies.


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