Question

write all the factors of 72 pleade help do on a paper plz

Answer 1

Answer:

The factors are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72.

Explanation:

I find factors in pairs, It will look like more work than it is, because I will explain how I am doing these steps. I do most of the work without writing it down. I'll put the explanation in black in [brackets] and the answer in blue.

I'll proceed by starting with 1 on the left and checking each number in order until either I get to a number already on the right or I get to a number greater than the square root of 72.

1×72

[I see that 72 is divisible by 2, and do the division to get the next pair]

2×36

[Now we check 3 and we get the next pair.]
[I use a little trick for this. I know that 36 is divisible by 3 and 36=3×12. This tells me that 72=2×3×12, so I know that 72=3×2×12=3×24]

3×24

[Now we need to check 4. Up above, we got 72=2×36 since 36=2×18, we see that 72=2×2×18=4×18]

4×18

[The next number to check is 5. But 72 is not divisible by 5. I usually write a number before I check, so if a number is not a factor, I cross it out.]

5

{Move on to 6. Looking above I want to 'build' a 6 by multiplying a number on the left times a factor of the number to its right. I see two ways to do that: 2×36=2×3×12=6×12 and 3×24=3×2×12=6×12. (Or maybe you just know that 6×12=72.)]

6×12

[72 is not divisible by 7.]

7

{4×18=4×2×9=8×9]

8×9

[And that's all. 9 and the factors that are greater than 9 are already written on the right in the list of pairs above.]
[Is that clear? Any factor of 72 greater than 9 must be multiplied by something less than 8 to get 72. But we've checked all the numbers up to and including 8. So we're finished.]

[If we were doing this for 39 we would get 1×39 and 3×13, then we cross off every number until we notice that 7×7=49. If 39 had a factor greater than 7 it would have to be multiplied by something less that 7 (otherwise we get 49 or more). So we would be finished.]

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Answer 2

The factors of 72 are
1,2,3,4,6,8,9,12,18,24,36,72.
These are the factors of 72 .

I think so there will be no need to do it on the paper.