Rivalry2

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Original 2026-01-01

Modified 2026-02-21

1 The<a>divisibility rule</a>for 780 helps us find out if a<a>number</a>is divisible by 780 without using the<a>division</a>method. Let's check whether 1560 is divisible by 780 using this rule.

2 Step 1:Check divisibility by 10. The last digit<a>of</a>1560 is 0, so it is divisible by 10.

3 Step 2:Check divisibility by 78. To do this, check divisibility by both 6 and 13, since 78 = 6 × 13.

4 Step 3:For divisibility by 6, check divisibility by both 2 and 3: - 1560 is divisible by 2 because the last digit is 0 (an<a>even number</a>). - Sum the digits of 1560 (1 + 5 + 6 + 0 = 12), which is divisible by 3.

5 Step 4:For divisibility by 13, use the rule: Multiply the last digit by 9 and subtract it from the rest of the number. Repeat if necessary: - Multiply 0 by 9 (0 × 9 = 0), subtract from remaining digits (156 - 0 = 156). - Multiply last digit of 156 by 9 (6 × 9 = 54), subtract from remaining digits (15 - 54 = -39), which is divisible by 13.

6 The divisibility rule for 780 helps us find out if a number is divisible by 780 without using the division method. Let's check whether 1560 is divisible by 780 using this rule.

7 Step 1:Check divisibility by 10. The last digit of 1560 is 0, so it is divisible by 10.

8 Step 2:Check divisibility by 78. To do this, check divisibility by both 6 and 13, since 78 = 6 × 13.

9 Step 3:For divisibility by 6, check divisibility by both 2 and 3: - 1560 is divisible by 2 because the last digit is 0 (an even number). - Sum the digits of 1560 (1 + 5 + 6 + 0 = 12), which is divisible by 3.

10 Step 4:For divisibility by 13, use the rule: Multiply the last digit by 9 and subtract it from the rest of the number. Repeat if necessary: - Multiply 0 by 9 (0 × 9 = 0), subtract from remaining digits (156 - 0 = 156). - Multiply last digit of 156 by 9 (6 × 9 = 54), subtract from remaining digits (15 - 54 = -39), which is divisible by 13.

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