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# How do you find all positive integers N such that the product 2029 x N has exactly four divisors?

Updated: 11/1/2022

Wiki User

10y ago

2029 is a Prime number. So let N be any prime number other than 2029.

Then 2029*N has the four factors 1, 2029, N and 2029*N.

[If N = 2029, then 2029 and N are the same and you have only 3 factors.]

So in theory you can find N. However, since there are infinitely many prime numbers, you cannot find them all.

Wiki User

10y ago

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Q: How do you find all positive integers N such that the product 2029 x N has exactly four divisors?
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### How do you find all positive integers N such that the product 2029 x N has exactly three divisors?

There is only 1 value of N that satisfies 2029 x N has exactly three divisors: N = 2029 To have exactly three divisors, the number must be the square of a prime number. 2029 is a prime number with exactly 2 divisors (1 and 2029). Thus the only number with exactly three divisors of which two are 1 and 2029 is 20292 (= 4116841), making N = 2029.

### Is the product of 3 positive integers positive?

It may be either. If any of the integers is zero, the product will be zero. Else, if one or three of the integers is negative, the product will be negative. Otherwise, it will be positive.

### Is the product of 4 negative integers positive or negative?

Positive. The product of even numbers of negative integers is always positive, whereas the product of odd nummbers of negative integers is always negative.

### Is the product of two positive integers always positive?

No the product of two integers will not always be a positive, because if you multiply a positive and a negative you'll get a negative.

### What is the product of two negative integers?

The product of two negative integers is positive as for example -4 times -5 = 20

### The product of any two integers is a positive integer?

No, if a negative integer is multiplied by a positive integer, the product is negative. However, if both of the integers are either positive or negative, the product is positive.

### What can you say about the product of an integer and a positive integer?

-- The product is an integer. -- If the original two integers are both positive, then the product is positive. -- If the original two integers have different signs, then the product is negative.

### What can you conclude about the signs of two integers whose product is positive and negative?

The product of two integers cannot be "positive and negative".

### Is the product of 3 integers positive or negative?

It may be either. If any of the integers is zero, the product will be zero. Else, if one or three of the integers is negative, the product will be negative. Otherwise, it will be positive.

### What is the rule in dividing integers?

The rule in dividing integers is to divide the absolute values. Two positive integers or two negative integers equals positive product. If one integer is positive and the other is negative, the product is negative.

### The product of two integers is positive. when is this statement true?

This statement is true when the two integers are positive, or when the two integers are negative.

yes