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A factorization is prime when all the factors are prime numbers (those which only have itself and 1 as factors).
For example,
2 X 4 and 2 X 2 X 2 are both factorizations of 8. Only 2 X 2 X 2 is a prime factorization because 2 X 4 includes the composite number 4.
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What makes a factorization of a number a prime factorization?
When all the factors are prime numbers, that's a prime factorization.
What is a diagram that shows the prime factorization of a number?
a prime factorization tree
What is the prime factorization of 397?
397 is a prime number, therefore prime factorization of 397 = 397.
What is the gcf of 41 and 82 using the prime factorization?
41 is a prime number which makes 41 the gcf of 41 and 82
What is the prime factorization of the number 26?
The prime factorization of the number 26 is: 2 x 13
Is 53 prime factorization number?
53 is a prime number so there is no relevant prime factorization for it.
How do you know without dividing that 91 is not in the prime factorization of 75257?
91 cannot be in the prime factorization of any number because it is not a prime number itself.
Can a number greater than 100 have only 1 number in it's prime factorization?
Yes. Any prime number greater than 100 has only itself in its prime factorization. Examples: The prime factorization of 101 is 101. The prime factorization of 109 is 109. The prime factorization of 127 is 127. The prime factorization of 311 is 311. The prime factorization of 691 is 691.
What is the prime factor of 19?
19 is a prime number, so it has no prime factorization.
What is the prime factorization for eighty-nine?
Since 89 is a prime number, the prime factorization of the number is simply 89.
Is 23 a prime factorization?
23 is a prime number and does not require factorization.
What number has a prime factorization of 2x9x7?
That's not a prime factorization because 9 isn't prime, but it does represent the number 126.
Is 2x3x5 a prime factorization?
Yes, 2x3x5 is a prime factorization because it has prime numbers multiplied to give a number. It is the prime factorization of 30.
What is the prime factorization of 2x2x5x7x11?
Actually 2x2x5x7x11 is a prime factorization and on multiplying these numbers we get 1540. Prime factorization of a number is the prime numbers which on multiplying together give that number.
What is the prime factorization of 89?
prime factorization of 89: 1 x 8989 is a prime number.
Is 84 a prime number or composite what is the prime factorization?
2 x 2 x 3 x 7 makes it composite.
What is the longest prime factorization string for 239?
There is only one prime factorization string for each number, so there is not a "longest" one. Since 239 is a prime number, its prime factorization is 239.
