Respuesta :
Let's consider all the possible products that Sam could obtain by multiplying two, three, five, and seven:
1. \(2 \times 3 = 6\)
2. \(2 \times 5 = 10\)
3. \(2 \times 7 = 14\)
4. \(3 \times 5 = 15\)
5. \(3 \times 7 = 21\)
6. \(5 \times 7 = 35\)
Now, let's check which of these products can be further multiplied to result in a product that is a multiple of 10:
- \(10\) can be obtained by multiplying \(2 \times 5\).
- \(15\) can be obtained by multiplying \(3 \times 5\).
- \(35\) can be obtained by multiplying \(5 \times 7\).
Therefore, the possible products that Sam could obtain, which are multiples of 10, are \(10\), \(15\), and \(35\).
Answer:
- 10 = 2·5
- 30 = 2·3·5
- 70 = 2·5·7
- 210 = 2·3·5·7
Step-by-step explanation:
You want to know the products that will be multiples of 10 when multiplying the numbers 2, 3, 5, 7.
Multiple of 10
The prime factors of 10 are 2 and 5, so any multiple of 10 must have these factors. Other possible combinations of factors from the given set are ...
{1, 3, 7, 3·7}
The products using these factors along with 2 and 5 are ...
- 10 = 2·5
- 30 = 2·3·5
- 70 = 2·5·7
- 210 = 2·3·5·7