Tích 1 x 2 x 3 x …. x 98 x 99 x 100 có tận cùng bằng bao nhiêu chữ số 0?

Phương pháp giải

Mỗi thừa số 5 nhân với một số chẵn cho 1 chữ số 0 tận cùng. Để tìm tích trên tận cùng là bao nhiêu chữ số 0 ta tìm số thừa số 5 có trong tích đó.

Lời giải của GV ufaindo.xyz

Các thừa số chia hết cho 5 trong tích trên là: 5 , 10 , 15, 20, ….., 100 Số thừa số chia hết cho 5 là (100 – 5) : 5 + 1 = 20 (số) Số thừa số chia hết cho 25 là (100 – 25) : 25 + 1 = 4 (số) Ta có 25 = 5 x 5 50 = 5 x 5 x 2 75 = 5 x 5 x 3 100 = 5 x 5 x 4 Số thừa số 5 trong tích là 20 + 4 = 24 (thừa số 5) Mỗi thừa số 5 khi nhân với một số chẵn cho 1 chữ số 0 tận cùng. Vậy tích đã cho có 24 chữ số 0 tận cùng.

Báo lỗi - Góp ý

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