Video: Finding a Number given Its Multiples

0, 6, 12, 18 are multiples of which number?

02:05

Video Transcript

Zero, six, 12, 18 are multiples of which number?

A multiple is a number that can be divided by another number without any remainder. In other words, it’s a number that features in another number’s times table. So we know that the numbers zero, six, 12, and 18 are part of the times table. Now, interestingly, there are several times tables that they’re all part of. But if we think of these as the first four multiples of a particular times table, this will help us to answer the question. Our first multiple is zero. This represents zero lots of our number. The next multiple is perhaps the most helpful one. It’s six. And it represents one lot of our number. One times what equals six? One times six equals six. And if we’re multiplying by six each time, then we can say that zero times six equals zero.

Let’s check that the next two multiples are also multiples of six. 12 is equal to two times six. So this is a multiple of six. And 18 is equal to three times six. So zero, six, 12, and 18 are all multiples of six. Here’s a challenge to end with. Zero, six, 12, and 18 are also multiples of three more numbers. And they have these three numbers in common. Now with the six times table, they were the first four multiples of that number. They’re not the first four multiples of the other numbers. But see if you can find the other three numbers that zero, six, 12, and 18 are multiples of.

In this particular question, the answer we were looking for was six.

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