Q: What are the factor combinations of the number 10,670,387?

 A:
Positive:   1 x 106703877 x 152434113 x 82079949 x 21776391 x 117257343 x 31109637 x 167512393 x 4459
Negative: -1 x -10670387-7 x -1524341-13 x -820799-49 x -217763-91 x -117257-343 x -31109-637 x -16751-2393 x -4459


How do I find the factor combinations of the number 10,670,387?

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 10,670,387, 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 10,670,387
-1 -10,670,387

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 10,670,387.

Example:
1 x 10,670,387 = 10,670,387
and
-1 x -10,670,387 = 10,670,387
Notice both answers equal 10,670,387

With that explanation out of the way, let's continue. Next, we take the number 10,670,387 and divide it by 2:

10,670,387 ÷ 2 = 5,335,193.5

If the quotient is a whole number, then 2 and 5,335,193.5 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 10,670,387
-1 -10,670,387

Now, we try dividing 10,670,387 by 3:

10,670,387 ÷ 3 = 3,556,795.6667

If the quotient is a whole number, then 3 and 3,556,795.6667 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 10,670,387
-1 -10,670,387

Let's try dividing by 4:

10,670,387 ÷ 4 = 2,667,596.75

If the quotient is a whole number, then 4 and 2,667,596.75 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 10,670,387
-1 10,670,387
Keep dividing by the next highest number until you cannot divide anymore.

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

171349913436372,3934,45916,75131,109117,257217,763820,7991,524,34110,670,387
-1-7-13-49-91-343-637-2,393-4,459-16,751-31,109-117,257-217,763-820,799-1,524,341-10,670,387

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 10,670,387:


Ask a Question