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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 divisor of 30.5?

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The divisors (factors) of 33 are: 1, 3, 11, 33.

What is the hcf of 264 and 308?

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The GCF is 44.

What greatest common factor of 57 and 69?

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'Step ladder' to find the factors.

3)57 = 19

  1. 19 = 1

&

3)69 = 23

23)23 = 1

The Only and greatesty common factor (GCF) is '3' .

NB '19' & '23' are prime numberd and have no common factors.

What are the factors of 75?

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The positive integer factors of 75 are 1, 3, 5, 15, 25, and 751, 3, 5, 15, 25, 75.1, 3, 5, 15, 25, 75.

What is the gcf of 24 40 64?

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The greatest common factor of 24, 40, and 64 would be 8. That's as 8 x 3 = 24, 8 x 5 = 40, and 8 x 8 = 64.

How do you factor x squared minus 3?

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x2 - 3 doesn't factor neatly. Applying the quadratic formula, we find two real solutions: Zero plus or minus the square root of three.

x = 1.7320508075688772
x = -1.7320508075688772

How do you factorise x squared - 5x - 6?

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x^2 - 5x - 6

Since the coefficient of 'x^(2)' is '1' in this case. we look at the constant '6' .

So write down all the factors of 6' . They are 1,2,3,&6.

From these four number we select two numbers that add/subtract to '-

So if we say -6 + 1 = -5 5'. The coefficient of 'x'

Since 6 - 1 = 5 & 2 + 3 = 5 We need to think a little deeper. So we look at the mathemetical signs , which in this case are both negative (-).

Since the sign in front of the '6' is negative, this means that the signs in the brackets are different. NB If it was a possitive both the signs in brackets would be the same either both (+) or both (-).

So to have a '-5' we can say -6 + 1 = -5

So setting up the brackets

( x 6 )(x 1) So the signs will be

(x - 6)( x + 1)

Done!!!! Hope that helps!!!!

What are the multiples of 2 and 6?

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Multiples of 2 are 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, and so on.

Multiples of 6 are 6, 12, 18, 24, 30, 36, 42, 48, 54, 60, and so on.

What is prime factor tree for 13?

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'13' is a prime number, so there is no factor tree.

However, to test , we can say

13)13 = 1

When reduced to '1' the factoring is complete.

Prime numbers are 2,3,5,7,11,13,17,19,23,29....

This goes to infinity, however, the above list is primes to '30'.

What are the first six multiples of 12?

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Here is the '12 times table'.

0 x 12 = 0

1 x 12 = 12

2 x 12 = 24

3 x 12 = 36

4 x 12 = 48

5 x 12 = 60

6 x 12 = 72

7 x 12 = 84

8 x 12 = 96

9 x 12 = 108

10 x 12 - 120

11 x 12 = 132

12 x 12 = 144

What is the greatest common factor of 6 and 15?

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The greatest common factor (gcf) of 15 and 6 is 3.

Factors of 6:1,2,3,6

Factors of 15: 1,3,5,15

The greatest common factor of the numbers 6 and 15 is 3.
The GCF of 6 and 15 is 3. This gives you 2 and 5 respectively. You cannot get any more common factors that impact the end figure.
The GCF is 3.
Greatest common factor of 6 and 15 is 3.

What is the greatest common divisor of 189 567 and 2187?

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A mathemtical trick is to note that all three numbers are divisible by '9'.

How do we known this?? Because the sum of the digits in each number adds to '9'.

Hence 189, 567, 2187)

189 ; 1 + 8 + 9 = 18 = 1 + 8 = 9

567 ; 5 + 6 + 7 = 18 = 1 + 8 = 9

2187 [ 2 + 1 + 8 + 7 = 18 = 1 + 8 = 9

189/9 = 21

567/ 9 = 63

2187/9 = 243

All three sub-answer will divide by '3'

Hence 7,9,81 ( There are NO common factors )

Hence

9 x 3 = 27 is the GCF.

NB THis mathemtical 'trick' can only be done with '9'. !!!!!

What is the greatest common factor of 33 and 55?

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The greatest common factor of 33 and 55 is as 11.

33 ÷ 11 = 3 and 55 ÷ 11 = 5.

How many fifths are in 7 wholes?

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thirty-five

35 / 5 = 7

5 fifths = 1 whole

then that 5 x 7 = 35

What is the median of Wednesday's test scores?

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To find the median of Wednesday's test scores, first arrange the scores in numerical order from least to greatest, then select the middle value as the median. If there is an even number of scores, the median is the average of the two middle values.

Is frustration a vitiating factor?

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No, frustration is not typically considered a vitiating factor in legal terms. Vitiating factors are usually related to elements like mistake, misrepresentation, or duress that can invalidate a contract. Frustration relates more to performance issues and unforeseen circumstances that make it difficult or impossible to fulfill a contract.

Numbers that are always factors of every number are?

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one (1) and the number itself

Least common multiple of 45 and 25?

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The least common multiple of 45 and 25 is 225.
The least common multiple of 25 , 45 = 225

What is the greatest common factor of 36 and 243?

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The greatest common factor of 36 and 243 is 9.

Where did LCM and HCF came from?

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LCM (Least Common Multiple) and HCF (Highest Common Factor), also known as GCD (Greatest Common Divisor), are mathematical concepts that have been used since ancient times in various cultures. They were initially used in solving problems related to fractions and division, and over time, their properties and applications have been further developed in number theory and algebra. Their concepts have evolved and been refined through the works of mathematicians like Euclid, Fermat, and Euler.

How many multiples can a number have?

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A number can have an infinite number of multiples since multiples are obtained by multiplying the number by a whole number.

What is the factor of 141?

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The factors of 141 are: 1 3 47 141