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Finding prime factors help

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So I understand that divisibility rules are imperative here. That said, I sort of think my strategy for tackling these problems is wrong. It is taking me too long to figure out the prime factors.

Can someone walk me through how they would look at the numbers?

For instance:

1.) 9450

2.) 1478

3.) 437


My mind likes to start with trying to divide by 2 if they are even, but maybe that isn't the smartest approach.

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