Question

Asher is asked to find the factors of 10. His work is below. 10 x 1 10 10 x 2 20 10 x 3 30 So, the factors of 10 are 10, 20, and 30 Which statements are true of Asher's work and his answer? Check all that apply O Asher made errors in multiplication. O Asher found multiples of 10, not factors of 10. O Asher should have multiplied 10 x 4 as well. O Asher should have gotten this as the answer: 1,2,5, and 10 O Asher should have gotten this as the answer: 10, 20, 30 40,

Answer 1

Asher did 10 x 1= 10, 10 x 2= 20, 10 x 3= 30

In Asher's work, each 10 is being multiplied with 1,2,3.

Multiplication represents multiples of a number.

In order to find the factors of a number, we need to find all numbers that can divide that particular number we need to find factor for.

Therefore, to find the factors of 10, we need to find the numbers that can divide 10 completely.

We can start from 1.

10 can be divided by 1. So, first factor of 10 is 1.

Now, if we check 2, we can see that 2 can also divide 10 completely.

Now checking 3,4. Those numbers can't divide 10 completely.

Now checking 5. 5 can also be divide 10 completely.

And next number is 10, that can divide 10 completely.

Therefore, factors of 10 are 1,2,5 and 10.

So, the following statements are applicable:

B) Asher found multiples of 10, not factors of 10.

D) Asher should have gotten this as the answer: 1,2,5, and 10