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Q: When the product of two numbers is equal to one of the factors. what do you know about the other factor?
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What is the relationship does the greatest common factor and the LCM have?

The product of the GCF and LCM is equal to the product of the original two numbers.


How can you determine if the least common multiple of 2 numbers is the product of the 2 numbers or less than the product of the 2 numbers?

If the GCF of a given pair of numbers is 1, the LCM will be equal to their product. If the GCF is greater than 1, the LCM will be less than their product. Or, stated another way, if the two numbers have no common prime factors, their LCM will be their product.


Is the greatest common factor of two numbers is equal to the lesser of the number?

Well, not always. The GCF and LCM of 10 and 10 is 10. But apart from that special circumstance, the statement is true. Apart from a number itself, all of its factors are smaller than it. Apart from a number itself, all of its multiples are larger than it. You can't have a GCF that is greater than the smaller number, and you can't have an LCM that is less than the larger one which means that the LCM of two numbers will never be less than the GCF. Factors go into numbers, numbers go into multiples.


What factors for 3000 equal sum of -155 and product of 3000?

The factor pairs of 3000 all have a product of 3000. None of them add up to -155.


How is multiple and factor different?

The only number that is both a multiple of a number and a factor of that same number is the number itself. Multiples of a number are equal to or bigger than the number, while factors are equal to or smaller than the number.

Related questions

What is factor times factor?

Factors are divisors. A factor times a factor will equal a product.


What are numbers that equal a product called?

factors


What is the relationship does the greatest common factor and the LCM have?

The product of the GCF and LCM is equal to the product of the original two numbers.


Name of the numbers that are multiplied together to equal a product?

Factors


What is the connection between a common factor and the common multiples of two numbers?

The product of the GCF and LCM of two numbers will equal the product of the two numbers.


How can you determine from the prime factorization whether the least common multiple of two numbers is the product of the number?

If the two numbers have no common prime factors, the LCM will be the product of the numbers.


Is 9 a factor of three?

No. 9 is a multiple of 3, an equal or larger number which is the product of factors.


How can you determine if the least common multiple of 2 numbers is the product of the 2 numbers or less than the product of the 2 numbers?

If the GCF of a given pair of numbers is 1, the LCM will be equal to their product. If the GCF is greater than 1, the LCM will be less than their product. Or, stated another way, if the two numbers have no common prime factors, their LCM will be their product.


What is the product of two numbers that equal 464?

The product is 464. Some of the factor pairs are (232,2)(116,4)(58,8)(29,16)


What 2 prime numbers equal 371?

As a product of its prime factors: 7*53 = 371


What Numbers Multiplied To equal 125?

As a product of its prime factors: 5*5*5 = 125


What 4 numbers multiplied equal 90?

As a product of its prime factors: 233*5 = 90