Q: What are the factor combinations of the number 1,415,635?

 A:
Positive:   1 x 14156355 x 28312713 x 10889529 x 4881565 x 21779145 x 9763377 x 3755751 x 1885
Negative: -1 x -1415635-5 x -283127-13 x -108895-29 x -48815-65 x -21779-145 x -9763-377 x -3755-751 x -1885


How do I find the factor combinations of the number 1,415,635?

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 1,415,635, 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 1,415,635
-1 -1,415,635

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 1,415,635.

Example:
1 x 1,415,635 = 1,415,635
and
-1 x -1,415,635 = 1,415,635
Notice both answers equal 1,415,635

With that explanation out of the way, let's continue. Next, we take the number 1,415,635 and divide it by 2:

1,415,635 ÷ 2 = 707,817.5

If the quotient is a whole number, then 2 and 707,817.5 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 1,415,635
-1 -1,415,635

Now, we try dividing 1,415,635 by 3:

1,415,635 ÷ 3 = 471,878.3333

If the quotient is a whole number, then 3 and 471,878.3333 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 1,415,635
-1 -1,415,635

Let's try dividing by 4:

1,415,635 ÷ 4 = 353,908.75

If the quotient is a whole number, then 4 and 353,908.75 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 1,415,635
-1 1,415,635
Keep dividing by the next highest number until you cannot divide anymore.

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

151329651453777511,8853,7559,76321,77948,815108,895283,1271,415,635
-1-5-13-29-65-145-377-751-1,885-3,755-9,763-21,779-48,815-108,895-283,127-1,415,635

More Examples

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