Question

Michael writes down 4 different factors of 60

He adds the 4 factors together.
He gets a number greater than 20 but less than 35

What 4 factors could Michael have written down?

Answer 1

Answer:

10+10+2+3

Step-by-step explanation:

hope it's helpful

Answer 2

Answer:

2, 2, 3, 5

Step-by-step explanation:

First, we need to find the factors of 60:

60/4 = 15

15 can factor down to 3 by 5 (3 x 5)

4 can be factored down to 2 by 2 ( 2 x 2)

The factors of 60 are:

3 x 5 x 2 x 2

Add them up!

3 + 5 + 2 + 2= 12.

This number is not greater than 20. It won't work.

If the added number is greater than 20, and we have 12 then:

20 - 12 = 8 MORE.

60/5 = 12

Thus,

12 = 2 x 6 = 2 x 2 x 3

2 x 2 x 3 x 5 = 60

But adding them up makes 12.

60/20 = 3

20 = 2 x 5 x 2

2 x 5 x 2 x 3 is the same as before.

Any number as a multiply of 5 ( 5, 10, 15, 20) or makes a multiple of 5 would add up to 12.

Such as,

60/10 = 6

10 = 2 x 5

6 = 2 x 3

2 + 5 + 2 + 3 = 12.

Factors of 60:

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60

(1, 60)

(2, 30)

3 + 2 + 5 + 2 = 12

(3, 20)

3 + 2 + 10 + 1 = 16

(4, 15)

2 + 2 + 15 + 1 = 20

3 + 5 + 4 + 1 = 13

(5, 12)

5 + 2 + 6 + 1 = 17

(6, 10)

3 + 2 + 10 + 1 = 16

2 + 5 + 6 + 1 = 14

The only number greater than 20 in any way would by (4, 15).

Four factors are:

2, 2, 3, 5 (simplified)