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What are all the factors of 64?

1 Answer

Apr 1, 2016

$1, 2, 4, 8, 16, 32, 64$ $1, 2, 4, 8, 16, 32, 64$

Explanation:

Factoring $64$ $64$ into primes, we find that it is a power of $2$ $2$ ...

$64 = 2 \times 32$ $64 = 2 xx 32$

$= 2 \times 2 \times 16$ $= 2 xx 2 xx 16$

$= 2 \times 2 \times 2 \times 8$ $= 2 xx 2 xx 2 xx 8$

$= 2 \times 2 \times 2 \times 2 \times 4$ $= 2 xx 2 xx 2 xx 2 xx 4$

$= 2 \times 2 \times 2 \times 2 \times 2 \times 2$ $= 2 xx 2 xx 2 xx 2 xx 2 xx 2$

$= 2^{6}$ $= 2^6$

So the only possible positive factors of $64$ $64$ are powers of $2$ $2$ including $2^{0} = 1$ $2^0 = 1$ :

$1, 2, 4, 8, 16, 32, 64$ $1, 2, 4, 8, 16, 32, 64$

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