Q: What are the factor combinations of the number 301,470,007?

 A:
Positive:   1 x 30147000741 x 7352927137 x 2200511191 x 1578377281 x 10728475617 x 536717831 x 3849711521 x 26167
Negative: -1 x -301470007-41 x -7352927-137 x -2200511-191 x -1578377-281 x -1072847-5617 x -53671-7831 x -38497-11521 x -26167


How do I find the factor combinations of the number 301,470,007?

Unfortunately, there's not simple formula to identifying all of the factors of a number and it can be a tedious process when trying to identify the divisors of larger numbers. To find the factor combinations of the number 301,470,007, it is easier to work with a table - it's called factoring from the outside in.

Outside in Factoring

We start by creating a table and writing 1 on the left side and then the number we're trying to find the factors for on the right side in a table. Then, below that, write the numbers as a negative as well.

1 301,470,007
-1 -301,470,007

Why are the negative numbers included?

When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 301,470,007.

Example:
1 x 301,470,007 = 301,470,007
and
-1 x -301,470,007 = 301,470,007
Notice both answers equal 301,470,007

With that explanation out of the way, let's continue. Next, we take the number 301,470,007 and divide it by 2:

301,470,007 ÷ 2 = 150,735,003.5

If the quotient is a whole number, then 2 and 150,735,003.5 are factors. In this case, the quotient is not a whole number. Don't write anything down and try the next divisor.

Here is what our table should look like at this step:

1 301,470,007
-1 -301,470,007

Now, we try dividing 301,470,007 by 3:

301,470,007 ÷ 3 = 100,490,002.3333

If the quotient is a whole number, then 3 and 100,490,002.3333 are factors. In this case, the quotient is not a whole number. Don't write anything down and try the next divisor.

Here is what our table should look like at this step:

1 301,470,007
-1 -301,470,007

Let's try dividing by 4:

301,470,007 ÷ 4 = 75,367,501.75

If the quotient is a whole number, then 4 and 75,367,501.75 are factors. In this case, the quotient is not a whole number. Don't write anything down and try the next divisor.

Here is what our table should look like at this step:

1 301,470,007
-1 301,470,007
Keep dividing by the next highest number until you cannot divide anymore.

If you did it right, you will end up with this table:

1411371912815,6177,83111,52126,16738,49753,6711,072,8471,578,3772,200,5117,352,927301,470,007
-1-41-137-191-281-5,617-7,831-11,521-26,167-38,497-53,671-1,072,847-1,578,377-2,200,511-7,352,927-301,470,007

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 301,470,007:


Ask a Question