Question

find the number of odd divisors of 74

Answer 1

The divisors/factors of 74 are 1, 2, 37 and 74.
The odd divisors are 2 in number, i.e., 1 and 37.

Answer 2

Answer:

We start by creating a table and writing 1 on the left side and then the number we're trying to find the factors for on the right side in a table.

1  74

Next, we take the number 74 and divide it by 2.

In this case, 2 ÷ 74 = 37

If the quotient is a whole number, then 2 and 37 are factors. Write them in the table below. If the quotient is not a whole number, skip to the next test.

1 2  37 74

Now, we try dividing 74 by 3.

74 ÷ 3 = 24.6667

If the quotient is a whole number, then 3 and 24.6667 are factors. Write them in the table below. If the quotient is not a whole number, skip to the next test.

Here is what our table should look like at this step:

1 2  37 74

Let's try dividing by 4.

74 ÷ 4 = 18.5

If the quotient is a whole number, then 4 and 18.5 are factors. Write them in the table below. If the quotient is not a whole number, skip to the next test.

Here is what our table should look like at this step:

1 2  37 74

We keep dividing by the next largest number, in this case the number 5. If the quotient of 5 ÷ 74 is a whole number, then 5 and your quotient are factors of the number.

Keep dividing by the next highest number until you cannot divide anymore.

What you will end up with is this table:

1 2 37 74

All of the numbers in the table above can be evenly divided into the number 74.

Finally, for your reference, here are all of the divisor combinations of the number 74:

1 x 74

2 x 37

Step-by-step explanation: