Sam is using the numbers two, three, five and seven. she multiplied some of these numbers and got a product that is a multiplication of 10. what could be that product? (find all the possible)

Respuesta :

kddxr

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
ACCESS MORE
ACCESS MORE
ACCESS MORE
ACCESS MORE