Q: What are the factor combinations of the number 8,147,377?

 A:
Positive:   1 x 81473777 x 116391149 x 166273
Negative: -1 x -8147377-7 x -1163911-49 x -166273


How do I find the factor combinations of the number 8,147,377?

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 8,147,377, 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 8,147,377
-1 -8,147,377

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 8,147,377.

Example:
1 x 8,147,377 = 8,147,377
and
-1 x -8,147,377 = 8,147,377
Notice both answers equal 8,147,377

With that explanation out of the way, let's continue. Next, we take the number 8,147,377 and divide it by 2:

8,147,377 ÷ 2 = 4,073,688.5

If the quotient is a whole number, then 2 and 4,073,688.5 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 8,147,377
-1 -8,147,377

Now, we try dividing 8,147,377 by 3:

8,147,377 ÷ 3 = 2,715,792.3333

If the quotient is a whole number, then 3 and 2,715,792.3333 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 8,147,377
-1 -8,147,377

Let's try dividing by 4:

8,147,377 ÷ 4 = 2,036,844.25

If the quotient is a whole number, then 4 and 2,036,844.25 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 8,147,377
-1 8,147,377
Keep dividing by the next highest number until you cannot divide anymore.

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

1749166,2731,163,9118,147,377
-1-7-49-166,273-1,163,911-8,147,377

More Examples

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