Re: Factor Numbers

My son has to write at least two ways to break down numbers - I know he did not learn this in school but I would like to help him at home, please help me I have not done this work in over 30 years. He has to break down the numbers 56, 12, 42, 36, 24 and 60. If you can explain to me 1 problem of what they word as a break down, I would be able to do, then follow and figure out the rest. Thank you!

For example, for breaking down 12:

-divide by 1, which equals 12
-divide by 2, which equals 6
-divide by 3, which equals 4
-divide by 4, which equals 3
-divide by 6, which equals 2

The factors would be 1, 2, 3, 4, 6, 12.

Marissa has a rope that is 1,00 centimeters long.How many meters long is the rope?

I NEED TO PASS 4 GRADE

345 meters

long

Of course, I'd be happy to help you and your son with breaking down numbers!

To break down a number, we are looking for pairs of factors that when multiplied together, give us the original number. Factors are numbers that evenly divide into another number.

Let's start with the number 56 as an example.

To find the factors of 56, we can start by dividing it by the smallest prime number, which is 2:

56 ÷ 2 = 28

We can see that 2 is a factor of 56 because it divides evenly, leaving no remainder.

Now, we continue finding factors by dividing the result, 28, by a small prime number:

28 ÷ 2 = 14

Again, 2 is a factor because the division is exact.

Next, we continue dividing:

14 ÷ 2 = 7

At this point, we cannot divide further, since 7 is a prime number (it doesn't divide evenly into any smaller number).

Hence, the factors of 56 are: 2, 2, 2, and 7.

To express this breakdown as a multiplication, we can write:

56 = 2 * 2 * 2 * 7

Now, you can follow the same steps to find the factors of the remaining numbers:

12 = 2 * 2 * 3
42 = 2 * 3 * 7
36 = 2 * 2 * 3 * 3
24 = 2 * 2 * 2 * 3
60 = 2 * 2 * 3 * 5

I hope this explanation helps you and your son! If you have any further questions or need assistance with other numbers, feel free to ask!