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All composite numbers can be expressed as unique products of prime numbers. This is accomplished by dividing the original number and its factors by prime numbers until all the factors are prime. A factor tree can help you visualize this.
Example: 210
210 Divide by two.
105,2 Divide by three.
35,3,2 Divide by five.
7,5,3,2 Stop. All the factors are prime.
2 x 3 x 5 x 7 = 210
That's the prime factorization of 210.
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How can you use the prime factorization to determine whether 35 is a factor of the number?
If the prime factorization contains a 5 and a 7, 35 is a factor.
How can you use the prime factorization of a number to determine whether the number is even or add?
Very easily: if the prime factorization includes 2, it's even. If not, it's odd.
How can you use the prime factorization of a number to determine whether the number is even or odd?
If the factorization includes the number 2, it's even. If not, it's odd.
Explanin How do you determine the prime factorzation of 56?
the prime factorization of 56 is a prime number that are only divisible by twounique factors.
How do you write out the prime factorization of a prime number?
The prime number is the prime factorization. For example, the prime factorization of the prime number 3 is 3. Get it?
Is 53 prime factorization number?
53 is a prime number so there is no relevant prime factorization for it.
What number has 2x2x2x2x3 as its prime factorization?
The only number with that prime factorization has to be 48.
Given the prime factorization of an integer how can you determine if our integer is a perfect square?
Given the prime factorization of an integer how can you determine if our integer is a perfect square?
What is the difference between prime factorization and factor rainbows?
A factor rainbow is a method to determine a prime factorization.
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.
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.
What makes a factorization of a number a prime factorization?
When all the factors are prime numbers, that's a prime factorization.
