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So, in this case, 270,000 Marriott points are approximately equivalent to 100,000 SPG points. With SPG, you get 5,000 more miles, but with Marriott you get a 7 night stay. If we ignore the differences, we can say that we would need 2.7 Marriott points per SPG point in order to break even.
How many points do you need for a FREE night? Every Marriott hotel has a category (1-9) based on the brand, location and type of property. This determines how many points are required for a free night. The Ritz- Carlton uses tiers (1-5). See Rewards chart