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Write the sum of the numbers as the product of their GCF and anothet sum. Problem: 56+64=?

Sagot :

AL2006idn
It looks like the first thing you have to find is their GCF, ya reckon ?

The factors of  56  are  1, 2, 4, 7, 8, 13, 28, and 56 .

The factors of  64  are  1, 2, 4, 8, 16, 32, and 64 .

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

The greatest one is  8 .

56/8 = 7
64/8 = 8

56  plus  64 = (8 times 7)  plus  (8 times 8)

56  plus  64 =  8 times (7 plus 8)    <== that's the answer

Check it out:

56  plus  64 = 120

8 times (7 plus 8) = 8 times 15 = 120    yay!    
Calculistaidn

we have

[tex] 56+64 [/tex]

Step [tex] 1 [/tex]

Find the GCF

we know that

[tex] 56=2^{3} *7\\ the \ factors\ are=1,2,4,7,8,14,28,56 [/tex]

[tex] 64=2^{6} \\ the \ factors\ are=1,2,4,8,16,32,64 [/tex]

[tex] The \ common\ factors\ are\ 1, 2, 4, and\ 8 \\ The\ GCF is\ 8 [/tex]

Step [tex] 2 [/tex]

we know that

[tex] \frac{56}{8} =7\\ \\ \frac{64}{8} =8 [/tex]

[tex] (56+64)=(8*7)+(8*8)\\ (56+64)=8*(7+8) [/tex]

therefore

the answer is

[tex] (56+64)=8*(7+8) [/tex]

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