What is the denominator of 872 as a repeating decimal? (Recurring digits of 1/872)

Denominator of 872 as a repeating decimal

What is the denominator of 872 as a repeating decimal? First, note that a fraction in its lowest form with the denominator of 872 will always have a repeating decimal if you divide the fraction (numerator divided by denominator).

Here we will count and show you the repeating digits when the numerator is 1 and denominator is 872. In other words, we will show you the recurring digits you get when you calculate 1 divided by 872.

Below is the answer to 1 divided by 872 with the repeating decimals. We colored each interval of repeating decimals in different colors so it is easy for you to see. The repeating decimals (recurring digits) go on forever.

0.001146788990825688073394495412844036697247706422018348623853211009174311926605504587155963302752293577981651376146788990825688073394495412844036697247706422018348623853211009174311926605504587155963302752293577981651376146788990825688073394495412844036697247706422018348623853211009174311926605504587155963302752293577981651376...

As you can see, the repeating digits are 146788990825688073394495412844036697247706422018348623853211009174311926605504587155963302752293577981651376 which will repeat indefinitely. When we counted the repeating decimals, we found that there are 108 repeating decimals in 1/872 as a decimal.

Repeating Decimal Calculator
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Denominator of 873 as a repeating decimal
Here is the next denominator on our list that we have similar repeating decimal information about.

Note that the answer above only applies to 1/872. You will get a different answer if the numerator is different. Furthermore, 872 as a denominator in a fraction is only repeating for sure if the fraction is in its lowest form possible.

Bonus: To communicate what numbers are repeating in a repeating decimal, you put a line (vinculum) over the repeating digits like this:

0.001146788990825688073394495412844036697247706422018348623853211009174311926605504587155963302752293577981651376