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# Do you multiply all the factors of a number to get the number?

Updated: 12/19/2022

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Q: Do you multiply all the factors of a number to get the number?
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### Will you get the same number of factors if you multiply a prime number by itself?

All prime squares have three factors.

multiply

### How do you know when you've found all the factors of a number?

If you multiply all the prime factors you've found together and the result is the number, you have found all of them.

### List all the factors of 21?

Factors are numbers you can multiply together to get another number. Therefore, all the factors of 21 are as follows: 1,3,7,21.

### What is the perfect number of 6?

6 is a perfect number. All of its factors (1,2,3) multiply to get 6.

### What are all the factors of 14?

Factors are numbers you can multiply together to get another number. 14: 1, 2, 7

### List all the factors of 23?

Factors are numbers you can multiply together to get another number. 23: 1, 23

### What least number multiply to 2306 to make it perfect square?

You need to factor it, into prime factors. Then, for every prime factor that appears an ODD number of times, you need to multiply 2306 by this prime factor. Multiply all such prime factors together to get your answer.

### Why do regular composites have an even number of factors?

You have to multiply something by something else to get a product. All numbers have factors in pairs.

### When looking for a factors of a composite number how do you know you have found the right answer?

List them all, and multiply to see if you get the original number.

### How do you know a number if its factors are given?

There are two ways in which the factors can be given. You are given all the prime factors (and their multiplicity). In that case simply multiply them all together. Or You are given each factor. In this case, the biggest of these is the number.

### What are all the factors of 81?

Factors are numbers you can multiply together to get another number. 81: 1, 3, 9, 27, 81