If a number ends in zeros, the zeros are called terminal zeros. For example, 520,000 has four terminal zeros, but 502,000 has just three terminal zeros. Let N equal the product of all natural numbers from 1 through 20:
N = 1 × 2 × 3 × 4 × ... × 20.
How many terminal zeros will N have when it is written in standard form?

First you need to figure out how many numbers can create a 0 at the end. Of course 10, and 20 can. Next, 2*5 and 12*15 can also do that. This means you will have 4 zeros at the end. Or you can simply use a calculator!

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ap8997154 ap8997154 · Answer 2 · 2022-01-05T11:25:10+01:00

N = 1 × 2 × 3 × 4 × ... × 20 will give four terminal zeros.

To do such question there are 2 methods, conventional and non-conventional approach.

Conventional Approach;

N = 1 × 2 × 3 × 4 × ... × 20

Non-conventional approach;

To form a zero at the end of a number, we need to multiply it with a multiple of such 10, 20, 30, etc.

Also, a multiplication of 5 and 2 gives as zero.

Therefore, numbers (5 x 2), 10, (12 x 15), and 20, will give us four terminal zeros.

hence, N = 1 × 2 × 3 × 4 × ... × 20 will give four terminal zeros.

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