Factoring and Multiples

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

2.58k

Factoring and Multiples

Prime Numbers

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

730731732

Factoring and Multiples

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

8, 8x8=64

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

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Factoring and Multiples

Mathematical Analysis

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

8 times

Exactly 8 times

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Factoring and Multiples

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

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Algebra

Factoring and Multiples

Numbers

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

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

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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Math and Arithmetic

Factoring and Multiples

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

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Math and Arithmetic

Factoring and Multiples

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

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

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

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

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

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

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

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Factoring and Multiples

The GCF of 17 and 29 is 1.

1

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Math and Arithmetic

Algebra

Factoring and Multiples

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

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

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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