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How can you express (32 56) as a multiple of a sum of whole numbers with no common factor?
I'll assume that's 32 + 56, since this website is unable to reproduce plus signs in the questions. It's relatively easy to see that 32 + 56 = 88, since 3 + 5 = 8 and 2 + 6 = 8
Some math teachers like to see that expressed as (4 x 8) + (7 x 8) = 11 x 8 = 88 adding an unnecessary extra step. It would not be possible to write it with no common factors since every set of non-zero whole numbers has a common factor, even if it's only 1. Of course, writing it as (32 x 1) + (56 x 1) pretty much leaves you back where you started.
What else can I help you with?
Is 12 a common factor of 3 and 4?
No, it is not a factor of either of the numbers.
What is the difference between a common multiple and a common factor?
Factors go into numbers, numbers go into multiples.
Does a factor mean the same as a highest common multiple?
No.When talking about factors and multiples the numbers are integers (whole numbers).A factor of a number means that the number is a multiple of the factor; the factor divides into the number without any remainder.There is no such thing as a Highest Common Multiple - it is always possible to find a higher common multiple (by adding the Lowest Common Multiple to the supposed highest common multiple).There is a Lowest Common Multiple (LCM) which is the smallest number which is a multiple of two or more numbers. It is also called the Least Common Multiple, or when working with fractions it can be referred to as the Least Common Denominator as the two or more numbers are the denominators of the fractions and equivalent fractions are being sought to be able to do an addition or subtraction.There is a Highest Common Factor (HCF) which is the largest number which divides into each of the two or more numbers without remainder. It is also called the Greatest Common Factor. If the numbers are relatively prime (or co-prime) their HCF is 1.
When the greatest common factor is 1 is the least common multiple of these numbers always the product of the numbers?
Yes - if two numbers share no common factors (besides 1) the least common multiple will be the product of the numbers.
What is the least common factor of 20 and 30?
The least common factor of any set of numbers is 1.
How can you express (12 4 16) as a multiple of a sum of whole numbers with no common factor?
It is not possible to express something as a sum of whole numbers with no common factor. All whole numbers have at least 1 as a common factor.
Name numbers that least common multiple is the same as its factor?
All numbers with a least common multiple, have that multiple as a factor.
How can you express (15 plus 30) as a multiple of a sum of whole numbers with no common factor?
It is 15*(1 + 2)
Is the least common multiple of two numbers always divisible by the greatest common factor of the two numbers?
Yes, the least common multiple of two numbers is always divisible by those numbers' greatest common factor.
Is 12 a common factor of 3 and 4?
No, it is not a factor of either of the numbers.
What is the lowest common multiple of 30 and the greatest common factor of 3?
There is no answer. There cannot be a lowest common multiple of a single number, such as 30, because "common multiple" means a multiple that two or more numbers have in common. Likewise, there cannot be a highest common factor of a single number, such as 3, because "common factor" means a factor that two or more numbers have in common.
How do you know whether to use the greatest common factor or the least common multiple to solve a problem?
the least common multiple is what the numbers you are using divide into. e.g. 3 and 6 have 12 as the common factor. the greatest common factor is what divides into your numbers. 6 and 9 have 3 as the greatest common factor
What is the difference between a common multiple and a common factor?
Factors go into numbers, numbers go into multiples.
What is the least common factor of two numbers when one number is a multiple of the other?
The least common factor of any set of numbers is 1.
What is the least common multiple of 32 and 15?
The least common multiple of two numbers is the product of the two numbers divided by their greatest common factor. The greatest common factor of 15 and 32 is 1, so the least common multiple is 15 x 32 ÷ 1 = 480.
Does a factor mean the same as a highest common multiple?
No.When talking about factors and multiples the numbers are integers (whole numbers).A factor of a number means that the number is a multiple of the factor; the factor divides into the number without any remainder.There is no such thing as a Highest Common Multiple - it is always possible to find a higher common multiple (by adding the Lowest Common Multiple to the supposed highest common multiple).There is a Lowest Common Multiple (LCM) which is the smallest number which is a multiple of two or more numbers. It is also called the Least Common Multiple, or when working with fractions it can be referred to as the Least Common Denominator as the two or more numbers are the denominators of the fractions and equivalent fractions are being sought to be able to do an addition or subtraction.There is a Highest Common Factor (HCF) which is the largest number which divides into each of the two or more numbers without remainder. It is also called the Greatest Common Factor. If the numbers are relatively prime (or co-prime) their HCF is 1.
When the greatest common factor is 1 is the least common multiple of these numbers always the product of the numbers?
Yes - if two numbers share no common factors (besides 1) the least common multiple will be the product of the numbers.
