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One way to solve this is to multiply the lowest prime numbers together, starting from 2: 2x3=6. 6x5=30. Multiplying by 7 would yield a 3-digit number, so we are looking for all 2-digit numbers with 3 distinct prime factors. We already have 30. 2x3x7=42. 2x3x11=66. 2x3x13=78. 2x5x7=70. So, to answer the original question, the 2-digit numbers that have the most factors in their prime factorization are, in ascending order, 30, 42, 66, 70, and 78.

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Q: What two digit numbers have the most factors in their prime factorization?
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What three digit number has the most factors?

Using prime factorization, there are 2 three digit numbers with 9 factors: 512 and 768. There are no three digit numbers with 10 or more prime factors. 512=2^9 and 768=3*2^8


Which 2 digit number has the most factors in their prime factorization?

If you're asking about distinct prime factors, there are eight numbers tied with three of them. If not, 64 has six twos.


How is prime factorization different from finding factors of a number?

All numbers have factors. Some factors are prime numbers, some are composite numbers, one is neither. When finding the factors of a number, you find all the factors. The prime factorization is a multiplication string of just prime factors that will total the given number.


What is the prime factorization of numbers 1 to 200?

If you look at the related question, "What are the prime factors of the numbers from 1 to 200?" (provided in the link below), take the prime numbers, and show them with multiplication signs between them, then you will have the prime factorization. Examples: The prime factors of 15 are 3 and 5. Therefore, the prime factorization is 3 x 5. The prime factors of 42 are 2, 3, and 7. Therefore, the prime factorization is 2 x 3 x 7. The prime factors of 64 are 2, 2, 2, 2, 2, and 2. Therefore, the prime factorization is 2 x 2 x 2 x 2 x 2 x 2. If you want the prime factorization of a specific number, it is sometimes listed under questions of the form, "What are the prime factors of __?" or "What are the factors of __?" or "What are the factors and prime factors of __?"


Which numbers below 500 have the most prime factors?

The numbers below 500 having the most prime factors are 256 and 384 with eight prime factors each. Prime factorization is 256=2x2x2x2x2x2x2x2 and 84=2x2x2x2x2x2x2x3.

Related questions

What two-digit numbers have the most factors in their prime factorization?

If you're asking about distinct prime factors, there are eight numbers tied with three of them. If not, 64 has six twos.


What three digit number has the most factors?

Using prime factorization, there are 2 three digit numbers with 9 factors: 512 and 768. There are no three digit numbers with 10 or more prime factors. 512=2^9 and 768=3*2^8


What makes a factorization of a number a prime factorization?

When all the factors are prime numbers, that's a prime factorization.


Which 2 digit number has the most factors in their prime factorization?

If you're asking about distinct prime factors, there are eight numbers tied with three of them. If not, 64 has six twos.


What is the factorization in which all the factors are prime numbers of a number?

That's the prime factorization.


How is prime factorization different from finding factors of a number?

All numbers have factors. Some factors are prime numbers, some are composite numbers, one is neither. When finding the factors of a number, you find all the factors. The prime factorization is a multiplication string of just prime factors that will total the given number.


What are the factors and prime factors of 30600?

Prime Factorization: 2,2,2,3,3,5,5,17 The factors are all multiple combinations of these numbers.


What is the prime factors of 86?

Prime Factorization of 86The prime factorization of 86 is:2 X 43Both numbers are prime, so that is the prime factorization of 86.


What is A composite number expressed as a product of factors that are prime numbers?

a prime factorization


What is an expression shows the product of all of numbers prime factors?

a prime factorization


What does prime factorization?

If you pay me £50 I'll do it for you.


How do you get a prime factor?

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: 210210 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 = 210That's the prime factorization of 210.