How many integers from 1 to 700 are divisible by 2, 5 and 7

First we need to know what number 2*5*7 gives us. That's the same as 10*7=70. So the question is asking how many multiples of 70 are between 1 and 700. Let's list them:

70

140

210

280

350

420

490

560

630

700

So there are 10 integers from 1 to 700 that are divisible by 2, 5, and 7.