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If you know the prime factorization of a number, you can find out the total number of factors.

Example: 210

21 x 31 x 51 x 71 = 210

Add one to the exponents and multiply them.

2 x 2 x 2 x 2 = 16, the total number of factors.

You know that 1, 2, 3, 5, and 7 are factors. You need three more to get halfway.

2 x 3 = 6

2 x 5 = 10

2 x 7 = 14

Divide all those numbers into 210.

1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210

You know you've found all the factors of a number when the next first factor exceeds its corresponding second factor. For example, after you found that 4 was a factor of 24 and 5 was not, you would see that 6, the next factor of 24, had already been included in a pair of factors. Thus, all the factors have been found.

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There is no simple way to find the answer to the question in general. The question needs to be more specific.

Every number is both a factor and a multiple of itself. Every other factor is smaller than the number, every other multiple is larger than the number.

Use multiples when you're adding or subtracting them.

Use factors when you're reducing them.

Q: How do you know when you've found all the factors for a number?

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All of the factors are prime.

All of the factors are prime.

No, an odd number can have any number of factors. There is no limit but you do know that the number 2 is not one of those factors.

It's a perfect square.

Divisibility rules help you find the factors of a number. Once you've found the factors for two or more numbers, you can find what they have in common. Take 231 and 321. If you know the divisibility rules, you know that they are both divisible by 3, so 3 is a common factor.

Related questions

How to know that you found all the factors for example my teacher taught me that when u reach a double diget number that is all the factors. ( 6x6)-~ double diget number

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

When all the factors are prime.

All of the factors are prime.

All of the factors are prime.

When each one of them is a prime.

First to be able to find an abundant number you have find all the factors of any number. Then add them all up. If the total is bigger than the number you found out the factors of then it is an abundant number and if the total is less than the number you found out the factors for it is a deficiant number and finally if the total is the same number as the one you found out the factors for it is called a perfect number. Thanks for learning from me. I hope you have understood what i have typed. Bye!

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

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To know that a number is prime you need to know that it has no factors other than 1 and the number itself.To know that a number is composite you only need to know one factor other than the number itself or 1.

You don't.If you know just one factor, other than 1 and the number itself, you will know that the number is composite.A prime has only two factors: 1 and itself. So all the factors is no big deal.

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