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?
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?
Answers & Comments
Answer:
10+10+2+3
Step-by-step explanation:
hope it's helpful
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)