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Factoring and Multiples

This category should include questions about greatest common factors and lowest common multiples.

500 Questions

What is the greatest common factor of 28 42 and 63?

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Asked by Wiki User

The GCF of 28, 42 and 63 is 7.
The GCF is 7.

What is half of three in fraction form?

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Half of 3 means 3 divided by 2 or 3 multipled by 1/2. Thus 1/2 X 3 = 3/2.

Hcf of 14 and 49?

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14 = 7 x 2

&

49 = 7 x 7

'7' is common to both numbers, so seven is the HCF ( Highest common factor).

What is the GCF of 12 4 and 28?

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The GCF of 12, 4, and 28 is 4.

What is the greatest common factor of 6x and 9x?

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The GCF of 6x and 9x is 3x

How do you know 21 42 63 84 105 are the multiples of 21?

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Because all of those numbers are divisible by 21.

What is the greatest common factor of 8 28 and 52?

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The GCF of 8, 28, and 52 is 4.

What is the greatest common factor of 8 and 28?

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Asked by Wiki User

The greatest common factor of 8 and 28 is 4.

The greatest common factor is the highest number that divides exactly into two or more numbers.

factors of 8: 1, 2, 4, 8

factors of 28: 1, 2, 4, 7, 14, 28

The GCF for 8 and 28 is 4.

What is the greatest common factor of 4 and 8?

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Asked by Wiki User

The greatest common factor of 4 and 8 is: 4.

Definition: A factor is a divisor - a number that will evenly divide into another number. The greatest common factor of two or more numbers is the largest factor that both numbers have in common.

Details of Solving the Problem

The greatest common factor of 4 is itself. Because 4 is a factor of 8 (2 x 4 = 8), and since there is no greater (larger) factor for 4 other than 4 itself, 4 is the greatest common factor of 8 and 4.

Another way to determine the greatest common factor is to find all the factors of the numbers and compare them.

The factors of 4 are 1, 2, and 4.

The factors of 8 are 1, 2, 4, and 8.

The common factors are 1, 2, and 4. Therefore, the greatest common factor is 4.

The greatest common factor can also be calculated by identifying the common prime factors and multiplying them together.

The prime factors of 4 are 2 and 2.

The prime factors of 8 are 2, 2, and 2.

The prime factors in common are 2 and 2, so the greatest common factor is 2 x 2 = 4.

Summary:

The common factors of 4 and 8 are 1, 2, and 4.

The greatest common factor of 4 and 8 is 4.
The GCF of 4 and 8 is 4.
4
4
The GCF is 4.

What is the greatest common factor of 2 and 4?

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Asked by Wiki User

The greatest common factor of two and four is 2.

How do you factor 5y-65xy?

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5y - 65xy

'5' is a common factor both numbers.

Hence 'take it out'.

5(y - 13xy)

'y' is a common factor to both terms, so take it out too!!!!

5y(1 - 13x)

Done Factored!!!!!

How do you factor 20x2 plus 22x-12?

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20x^2 + 22x - 12

Since '2' is a common factor

Then

2(10x^2 + 11x -6)

To factor the bracket bit , we write down all the factors of '10' & '6'

Hence

10 ; 1,2,5,10,

6 ; 1,2,3,6.

We then select a pair of numbers from each factors to multiply together and then add/subtract to reach '11'.

They are ( 2,5) & ( 2,3)

3 x 5 = 15 & 2 x 2 = 4

15 - 4 = 11

So (2,3) & ( 2,5) are the selected factors.

Open brakets. ( 5x 2)(2x 3)

To select the signs, we note that '6' is a minus '-6' , so the signs are differen(+/-).

We also note that 11x is positive (+) , so the larger multiple is the positive multip;le and the small is the negative.

Hence

(5x - 2)(2x + 3)

Overall it is

2(5x - 2)(2x + 3)

What is x2 - 5x - 66?

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x2 - 5x - 66 is a quadratic expression that factors out to (x - 11)(x + 6)

Factor expression 16x2 - 25y2?

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Remember both 16 & 25 are squared numbers.

16 = 4^2 & 25 = 5^2

Hence we can write

(4x)^2 - (5y)^2

Remember two squared terms with a NEGATIVE Between them will factor.

( 4x - 5y)(4x + 5y)

Note the difference signs.

NNB Two squared terms with a positive (+) between them DOES NOT factor.

What is the opposite of greatest common factor?

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In one sense, the opposite of the GCF could be the least common factor, but the least common factor of any set of positive integers is 1, so it's not very interesting.

What is hcf of 210 and 308?

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2 is the greatest common factor of 210 and 308.

Is 27 a factor of 9?

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NO!!!

'27' is a multiple of '9'

However, '9' is a factor of '27'

What are the multiples of 100000?

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They are elements of an infinitely large set of numbers of the form 100000*k where k is an integer.

What is 999 times 100.0?

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The product is 99,900