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# What number under 300 has the most unique prime factors?

Updated: 4/28/2022

Wiki User

6y ago

Here is how you can calculate that: Multiply different prime numbers together, until your product exceeds the number 300. Then, you go back one step.

Wiki User

6y ago

Wiki User

6y ago

210

Wiki User

6y ago

210 has 4.

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Q: What number under 300 has the most unique prime factors?
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A number that isn't prime or composite is 1 its only factor is 1 (1 x 1).For a number to be prime, it should have two factors: 1 and itself.For a number to be composite, it should have more than two factors.1 has under two factors, which therefore makes it a "special number".

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### How do you draw a simple factor tree?

Write the number you want to factor at the top of the page. Think of a number that goes into it. Write that number and its pair under the first number. If any of the numbers are prime, leave them alone. If they're composite, keep going in this fashion until all of the numbers are prime. 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.