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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
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Do you need to know all of the factors of a number to know it is prime or composite?
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.
Why do you need to know all of the factors to a number to know if it is a prime or composite number?
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.
How do you know a number is a composite number?
It has more than two factors.
How many factors does the number 44 have?
Six factors.
How many factors does aprime number have?
Two factors
How do you know you found all factors to a number?
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
How many factors does the number 18 have?
Six factors.
Do numbers always have more than two factors?
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.
What you know about the factors when the products are square numbers?
There will be an odd number of different factors.
How do you know when you have found the longest string of factors for a number?
When all the factors are prime.
What is a Number that has many factors?
A number that has more than two factors is a composite number whereas a number that has only two factors is a prime number.
Do you need to know all of the factors of a number in order to determine if it is a prime or composite?
Yes, you do. And know them well, or else you'll get it wrong! Well, not exactly. To determine that a number is prime you need to know that the number has exactly two factors, which means that there are no other factors. You know that a number is composite by finding just one factor that is neither one nor the number itself.
How many factors does the number 1203 have?
Four factors.
How many factors does the number 10?
Four factors.
How many factors does the number 37 have?
Two factors.
How many factors does the number 7 have?
Two factors.
How many factors in 1000000000000?
This number has 144 factors.
