Study guides

☆☆

Q: When dividing two numbers is the product always smaller than one of the factors?

Write your answer...

Submit

Still have questions?

Related questions

One of the numbers must be less that 1

The same way as with smaller numbers, it may take longer. Just keep dividing by prime numbers until all the factors are prime.

Cancelling out common factors means you are working with smaller numbers. It is usually, but not always, beneficial.

The same way as with smaller numbers, it may take longer. Just keep dividing by prime numbers until all the factors are prime.

By finding out whether they have any factors in common. If the only factor they have in common is 1, the LCM will be their product. If they have more factors in common, their LCM will be less than their product.

You could try dividing by composite numbers but the number that you are testing is divisible by a composite number, then it will be divisible by a prime factor of that composite number and that prime factor will be smaller. It is always easier to work with smaller numbers.

If you mean the product, that's by definition. A composite number has smaller factors. If you multiply two positive integers, none of which is 1, together, then it follows that the product has smaller factors - namely, the numbers you multiplied together.

By dividing it by all numbers smaller than itself and if any number divides it exactly with a remainder of '0' then it is a factor. 2 is a prime number and apart from 1 and itself it does not have any factors.

Actually, it is often easier to divide by factors other than the GCF as they will be smaller numbers. All that dividing by the GCF does is simplify the fraction in one step as opposed to many steps. I often find myself simplifying fractions by dividing by obvious smaller factors which means that when I do have to find a GCF (often to prove the fraction is in simplest form) it will be with smaller numbers as well (which is easier).

Generally yes, but not in all cases. The largest prime number has over 22 million digits but only two factors whereas 60 has six times as many factors.

That's asking for the prime factorization. Writing 60 as a product of its prime factors would be 2 x 2 x 3 x 5 = 60.

A composite number is one that can be split up into smaller factors. It can be considered to be the product of two or more prime numbers.

People also asked