 # Factoring and Multiples

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

###### 154,480 Questions
Factoring and Multiples

# What are the factors of 36?

The factors of 36 are 1, 2, 3, 4, 6, 9, 12, 18, and 36.

The factor pairs of 36 are 1 x 36, 2 x 18, 3 x 12, 4 x 9, and 6 x 6.

The prime factors of 36 are 2 x 2 x 3 x 3.

The distinct prime factors of 36 are 2 and 3.

Factors of 36 = 2 X 2 X3 X 3.

It can also be written as 4 X 9 and 18 X 2 and 6 x6 and 12 X3 .

1,2,4,6,7,9,12,19,20,9,20,26
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Factoring and Multiples
Prime Numbers

# Find the prime factors or state the number is prime 899?

29*31 = 899 therefore it is not a prime number because it has more than two factors.

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Factoring and Multiples

# What are the factors of 50?

The factors of 50 are 1, 2, 5, 10, 25, and 50 because each of those whole numbers, and no others, divides evenly (with no remainder) into 50.
1,2,5,10,25,50
The factors of 50 are 1, 2, 5, 10, 25, and 50.
1, 2, 5, 10, 25, 50.
1 2 5 10 25 50

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Factoring and Multiples

# How many times can 8 go into 64?

8, 8x8=64

so yes 8 can go into 64 a total of 8 times

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Factoring and Multiples
Mathematical Analysis

# What is range mean in math?

Here's what you do you find the smallest number and the larger number then subtract. For EXAMPLE: 12,18,22,24,25,32

32-12=20 so your RANGE is 20.

The possible x values of a function.

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Math and Arithmetic
Factoring and Multiples

# How many times does 6 go into 48?

8 times
Exactly 8 times

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Factoring and Multiples

# What are the factors of 45?

There are infinitely many possibilities. An easy one to remember is 1 times 45.

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Algebra
Factoring and Multiples
Numbers

# What are the shared prime factors of 36 and 144?

2 and 3. In fact, 2 and 3 are the ONLY prime factors of both.

36 = 22 x 32.

144 = 24 x 32.

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Math and Arithmetic
Factoring and Multiples

# What is the HCF of 96 and 108?

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

96: 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96

108: 1, 2, 3, 4, 6, 9, 12 ,18, 27, 36, 54 108

The GCF of 96 and 108 is 12.

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Factoring and Multiples

# What are the factors of 24?

The factors of 24 are: 1, 2, 3, 4, 6, 8, 12, and 24

The factor pairs of 24 are 1 x 24, 2 x 12, 3 x 8, and 4 x 6

The prime factorization of 24 = 2 x 2 x 2 x 3 = 2³ × 3
They are: 1 2 3 4 6 8 12 and 24
The factor of 24 are: 1,2,3,4,6,8,12,24

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Factoring and Multiples

# What is the greatest common factor of x9 and x2?

The GCF is x2.

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Math and Arithmetic
Factoring and Multiples

# How do you factorise 12x - 30?

It is: 6(2x-5) when factored

012
Factoring and Multiples

# How do you factor 20xy?

2*2*5*x*y

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Math and Arithmetic
Factoring and Multiples

# FACTOR 8c2 - 26c plus 15?

8c2-26c+15

8c2-6c-20c+15

2c(4c-3)+5(-4c+3)

(2c-5)(4c-3)

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Math and Arithmetic
Algebra
Factoring and Multiples

# What two numbers add to be 6 and multiply to be negative 495?

Mathematically, you are looking to answer the following system of equations:

x + y = 6

x * y = -495

This is rather simple.

First, determine x in terms of y:

x = 6 - y

Next, substitute for x in the second equation:

(6 - y) * y = -495

Now, solve for y:

6y - y2 = - 495

0 = y2 - 6y - 495

The solution to the above quadratic equation is:

y = (6 + sqrt(2016)) / 2

and

y = (6 - sqrt(2016)) / 2

reducing that further gives

y = 3+6*sqrt(14) or 3-6*sqrt(14)

Substituting back in to x=6-y, that means:

x = 3-6*sqrt(14) when y = 3+6*sqrt(14)

x = 3+6*sqrt(14) when y = 3-6*sqr(14)

Thus, the two numbers that satisfy your question are:

3+6*sqrt(14) or approximately 25.449944

and

3-6*sqrt(14) or approximately -19.449944

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Math and Arithmetic
Factoring and Multiples

# How do you factor the trinomial 6x2 - 13x - 63?

6x2 - 13x - 63 = (2x - 9)(3x + 7).

6x2 - 13x - 63 since (6)(-63) = -(2*3*9*7) = (-27)(14),then -27 + 14 = -13, I write:

= (6x - 27)(6x + 14)/3*2

= (2x - 9)(3x + 7)

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Math and Arithmetic
Algebra
Factoring and Multiples

# What is the pattern 1 3 9 27?

t(n) = 3(n-1) .....also means that you multiply each number by 3 to get the next number

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Math and Arithmetic
Factoring and Multiples

# How do you factorise 2a plus 4b plus 8c?

2a + 4b + 8c = 2(a + 2b + 4c)

You could also continue by factoring the inside of the parentheses a bit:

2a + 4b + 8c = 2(a + 2b + 4c) = 2(a + 2[b + 2c])

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Factoring and Multiples

# What are the factors of 20?

The factors of 20 are 1, 2, 4, 5, 10, and 20.
1, 2, 4, 5, 10, 20
1, 2, 4, 5, 10, 20.
Its factors are: 1 2 4 5 10 and 20

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Math and Arithmetic
Algebra
Factoring and Multiples

# Does a factor have to be a whole number?

If you are thinking of prime factorization of integers, yes, a prime number more specifically

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Factoring and Multiples

# What is the greatest common factor of 17 and 29?

The GCF of 17 and 29 is 1.
1

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Math and Arithmetic
Algebra
Factoring and Multiples

# Factor this expression mr ns - nr - ms?

I am guessing there is a missing plus sign and you want to factor

mr + ns - nr - ms.

If so , mr -ms + ns - nr = m(r - s) - n( r -s ) = (r - s) (m - n)

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Algebra
Factoring and Multiples

# What is the prime factorization of one billion using exponents?

1 billion {short scale} = 109 = (2*5)9 = 29 * 59 [see related link for short scale and long scale for billion]

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Miscellaneous
Algebra
Factoring and Multiples

# How is a unit rate calculated?

for example, if the question is 24 pineapples per 3 waffles, you divide 24 by 3 and you get 8 pineapples per waffle(the mathematical-ish way to write that is 24 pineapples/waffle.).

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