Q: What is the prime factorization the longest factor string for 40?

Write your answer...

Submit

Still have questions?

Continue Learning about Basic Math

The prime factorization.

The prime factorization.

Factor strings are multiplication sentences. You can take any factor pair, put a multiplication symbol between them and you have a factor string. The longest factor string for any composite number is the prime factorization. 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. And the longest factor string.

Factors are integers that can be multiplied together to create a product. Such multiplication sentences are called strings. The length of the string is how many numbers are in it. 6 x 4 is a factor string for 24. 2 x 3 x 4 is a longer factor string for 24. 2 x 2 x 2 x 3 is the longest factor string for 24. The longest factor string is also known as the prime factorization.

the longest string of prime factor for 30 is 2 x 3 x 5

Related questions

The prime factorization is the longest factor sting.

The longest factor string of any composite number is its prime factorization.

When all of the factors are prime. The longest factor string is the prime factorization.

The prime factorization

Factor strings don't necessarily have to be composed entirely of prime numbers. But the longest factor string, the one that is entirely prime numbers, that's the prime factorization.

Yes.

The longest factor string for 840 is its prime factorization because prime factors can't be broken down any further.

Shorter factor strings aren't composed entirely of prime numbers.

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.

The prime factorization.

The prime factorization.

2 x 2 x 5 x 5 = 100