Count by 407 (Skip Counting by 407s)

Count by 407

Here we will show you how to count by 407, discuss counting by 407 patterns, and tell you why knowing how to count by 407 matters. To start off, note that Count by 407 means counting in 407s, or count by four hundred sevens, and it is also called skip counting by 407.

How to count by 407
Normally, we would count by 1 like this: 1, 2, 3, 4, etc., but when we count by 407, we count 407, 814, 1221, 1628, and so on.

In other words, to count in intervals of 407 or skip counting by 407, we start with 407 and then add 407 to get the next number, and then continue adding 407 to the previous number to keep counting by 407, like this:

407
407 + 407 = 814
814 + 407 = 1221
1221 + 407 = 1628
1628 + 407 = 2035
...

You can of course skip count by 407 forever, so it is impossible to make a list of all numbers, but below is a Count by 407 Chart of the first 100 numbers to get you started.

Looking at the chart above, you will see that the first column has the first ten numbers you get when you skip count by 407, the second column has the next ten numbers you get when you skip count by 407, and so forth.

Count by 407 Patterns
We organized the Skip Counting by 407s Chart above in 10 rows and 10 columns so you can easily identify patterns.

Skip counting always creates patterns. Figuring out these patterns may help you if want to count by 407, but don't have the Counting by 407s Chart above. Obviously, one pattern with counting by 407s is that the number increases by 407.

Furthermore, if you look at each row above, each number in the row has the same last digit (ones place). That means that every tenth number has the same last digit.

If you look down the columns, you will see that the last digit (ones place) repeats itself in blocks of 10 over and over. The pattern of the last digit when you count by 407 goes 7, 4, 1, 8, 5, 2, 9, 6, 3, 0 and 7, 4, 1, 8, 5, 2, 9, 6, 3, 0 and so on for as long as you count by 407.

Why Count by 407?
We think that understanding and learning about skip counting by 407 is important, because it teaches you how the arithmetic operations fit together. Below are some examples of what we mean.

When you count by four hundred seven, you are also creating a list of multiples of 407 that you can use in math when you need the least common multiple. 407 times n equals the nth multiple or skip count of 407.

When you skip count by 407, you are also creating a list of numbers that 407 is divisible by. On top of that, skip counting by 407 is the same as making the 407 times table.

Skip Counting
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Count by 408
Here is the next number on our list that we used to skip count.