Is 1 a Factor of 105?

In this article we are going to check whether 1 is a factor of 105 and explain the two easiest methods to calculate this for yourself.

What we can do is list out all of the factors of 105 and then check the resulting list to see if 1 is one of those numbers. Here are all the factors of 105:

  • 1
  • 3
  • 5
  • 7
  • 15
  • 21
  • 35
  • 105

We can also list the factors of 105 into a comma separated list as well:

1, 3, 5, 7, 15, 21, 35, and 105

We are checking to see if the number 1 is in this list and we can clearly see that it is in the list of factors for 105.

This means, 1 is a factor of 105.

We can also check whether 1 is a factor of 105 by simplying dividing 105 by 1 to see if the quotient (the resulting answer) is a whole or a fractional number.

If the result is a whole number, then we know that 1 is a factor of 105.

If the result is a fractional number, then we know that 1 is not a factor of 105.

105 divided by 1 is 105 which is a whole number. This confirms our answer from the factor list method above that 1 is a factor of 105.

Hopefully this has not only answered the question "is 1 a factor of 105?", but also explained the methods for working this out for yourself.

Challenge yourself to try and calculate whether one number is a factor of another using both of the methods above to practice your new understanding of factors.

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