Question

List all the numbers between 700 and 800 that are divisible by both 3
and 5.

Answer 1

The numbers between 700 and 800 that are divisible by both 3 and 5 are 705, 720, 735, 750, 765, 780, and 795.

Step-by-step explanation:

To find all the numbers between 700 and 800 that are divisible by both 3 and 5, we are looking for numbers that are multiples of the least common multiple (LCM) of 3 and 5 within that range. The LCM of 3 and 5 is 15, so we need to find multiples of 15 between 700 and 800.

Starting with the smallest multiple of 15 greater than 700, we get 705. We then add 15 repeatedly to find subsequent multiples: 720, 735, 750, 765, 780, and 795. These are all the numbers between 700 and 800 that are divisible by both 3 and 5.

Therefore, the list of numbers divisible by both 3 and 5 between 700 and 800 include 705, 720, 735, 750, 765, 780, and 795.

Answer 2

705, 720, 735, 750, 765, 780, 795

Step-by-step explanation:

There are around twenty numbers that are divisible by 5. Let's look at them and find the ones that are also divisible by 3. (If the digits of a number add up to a multiple of 3, than that number is divisible by 3...its not a trick, there are math reasons. But its cool and useful to know this) Numbers divisible by 5 end in 0 or 5.

Here's a list:

700 705 710 715

720 725 730 735

740 745 750 755

760 765 770 775

780 785 790 795

800

So here's how the "divisible by 3" rule works...

Look at 705,

7+0+5 is 12. 3 goes into 12, so 3 goes into 705.

Next, 720,

7+2+0 is 9. 3 goes into 9, so 3 goes into 720.

That's how you can scan and check divisibility.

So we get (divisible by both 3 and 5)

705

720

735

750

765

780

795