I'm an odd number, I have two factors and I'm a multiple of 10.

Sorry. No odd number is a multiple of 10.

Something that is a multiple of ten cannot be an odd number.

To determine the odd number that has two factors and is a multiple of 10, let's break down the given information:

1. The number has two factors:
- Every number has at least two factors, which are 1 and the number itself. However, since we are looking for an odd number, one of the factors cannot be 2. Therefore, the factors of the odd number we are searching for should be 1 and a different number.

2. The number is a multiple of 10:
- To be a multiple of 10, the number should be divisible by 10, that is, when divided by 10, the result should be a whole number without any remainder.

Using these clues, let's find the odd number with two factors and is a multiple of 10.

We know that 10 is a multiple of 10 and has the factors 1 and 10. However, 10 is an even number, not an odd number.

Let's try a larger multiple of 10, like 20. The factors of 20 are 1, 2, 4, 5, 10, and 20. Again, 20 is an even number, not an odd number.

Now, let's try 30. The factors of 30 are 1, 2, 3, 5, 6, 10, 15, and 30. It is an even number, so it does not satisfy the given conditions.

Continuing this process, we find that the first odd number that has two factors and is a multiple of 10 is 70. The factors of 70 are 1, 2, 5, 7, 10, 14, 35, and 70. Therefore, the odd number you are looking for is 70.