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How are factors and exponents related?
An exponent is a number that indicates how many copies of the base are to be multiplied together. An exponent is a number like any other and its factors - if any - are foud in the same way as the factor of any other number.
How do you find out what is the smallest number with eleven factors?
Prime numbers, raised to a power, have one more factor than their exponents. The smallest prime number is 2. 210 has eleven factors. 210 = 1024
What does factor mean when it's multiplication?
Two numbers that multiply to create another number are factors of that number.
Why do you add 1 to each exponent after a number is factorized to determine the number of positive factors for any given number?
Suppose you have a prime factor with an exponent of n. Then that prime factor can appear 0, 1, 2, ... , n times in a compound factor: that is, there are (n+1) different exponents that it can take.
How do you find the smallest number with 11 factors?
Prime numbers, raised to a power, have one more factor than their exponents. The smallest prime number is 2. 210 has eleven factors. 210 = 1024
Is a prime number the same as a prime factor?
If you are talking about the number itself, they can be the same. To be specific: A prime number is a number that only has the factors 1 and itself. A factor is a number that when multiplied creates a product. A prime factor is a prime number that is multiplied to create a product.
Will prime factorization help find the number of factors of any number?
Write the prime factorization with exponents. Add 1 to each exponent. (Numbers without exponents actually have the exponent 1.) Multiply them together. That will be the number of factors.
What are raised numbers called?
The raised number, or exponent, is the number of times the base is used as a factor.
How do you find exponents from factor trees?
Exponents are just the number of times a factor is repeated. Consider 64. 64 32,2 16,2,2 8,2,2,2 4,2,2,2,2 2,2,2,2,2,2 There are six twos. That's 26
How can finding factor pairs help with finding all of the factors number?
If you know the prime factorization of a number, you can find out the total number of factors. Example: 210 2^1 x 3^1 x 5^1 x 7^1 = 210 Add one to the exponents and multiply them. 2 x 2 x 2 x 2 = 16, the total number of factors.
What does it mean to be a factor of a number?
Factors are numbers that multiply to create a product. Since 3 x 4 = 12, 3 and 4 are factors of 12.
What it means for one number to be a factor of another factor?
A factor is a number that can be multiplied with another factor to create a product. 4 x 5 = 20 Four and five are factors of 20. Since 2 x 2 = 4, 2 is a factor of 4 and also a factor of a factor.
