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Very carefully, and with great patience. Preferably starting by factoring out small prime numbers, like 2.

Q: How would you make a factor tree for 864?

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The greatest common factor of the numbers 284 and 864 is 4.

In exponents: 25*33 = 864

864 432x2 216x2 108x2 54x2 27x2 9x3 3x3 So all the factors are . . . 3, 9, 27, 2, 1, 216, 54, 108, 432

15.4286

The prime factorization of 864 is 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3 The factor pairs of 864 are (864,1)(432,2)(288,3)(216,4)(144,6)(108,8)(96,9)(72,12)(54,16)(48,18)(36,24)(32,27)

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By using the divisibility rules, I can tell that 864 is divisible by 2, 3, 4, 6, 8 and 9. By dividing those numbers into 864 I can create factor pairs, any of which I can use to start the tree. 864 432,2 216,2,2 108,2,2,2 54,2,2,2,2 27,2,2,2,2,2 9,3,2,2,2,2,2 3,3,3,2,2,2,2,2

The greatest common factor of 32 and 864 is 32.

The greatest common factor of the numbers 284 and 864 is 4.

In exponents: 25*33 = 864

864 432x2 216x2 108x2 54x2 27x2 9x3 3x3 So all the factors are . . . 3, 9, 27, 2, 1, 216, 54, 108, 432

Yes

3

72

The prime factorization of 864 is: 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3

Factors of 864: 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864

There are 36, 864 ways to make a Whataburger.

make a factor tree for both, 100 50---2 25--2 5--5 LCM = 5*5*2*2 864 24-----36 8---3 6---6 4---2 3--2 3---2 2--2 LCM =2*2*2*2*2*3*3*3 LCM for both 100 and 864 = 5*5*2*2*2*2*2*3*3*3=21600