What is the prime factorization of 560?

Question

tkhunny · Answer

You don't need to be in a hurry to find them.  You also needn't find them all at once.  Just find ANY factor and see where it leads.

560 is even.  There is a factor of 2

560 = 2*280

280 is even, there is a factor of 2

$560 = 2*2*140 = 2^{2}\cdot 140$

Continue on this way until you have only prime factors remaining.

tkhunny · Answer

It doesn't always have to be 2.  Whatever you see is good.  Maybe next would be...

$560 = 2^{2}\cdot 140 = 2^{2}\cdot 10\cdot 14$

Not this time, but sometimes, you need to know that 51 = 3*17  :-)  People mistake 51 for prime.  Nope.  You have to have the Prime Numbers in your head.