Q: What are the factor combinations of the number 1,537,907?

 A:
Positive:   1 x 15379077 x 21970183 x 18529581 x 2647
Negative: -1 x -1537907-7 x -219701-83 x -18529-581 x -2647


How do I find the factor combinations of the number 1,537,907?

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 1,537,907, 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 1,537,907
-1 -1,537,907

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 1,537,907.

Example:
1 x 1,537,907 = 1,537,907
and
-1 x -1,537,907 = 1,537,907
Notice both answers equal 1,537,907

With that explanation out of the way, let's continue. Next, we take the number 1,537,907 and divide it by 2:

1,537,907 ÷ 2 = 768,953.5

If the quotient is a whole number, then 2 and 768,953.5 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 1,537,907
-1 -1,537,907

Now, we try dividing 1,537,907 by 3:

1,537,907 ÷ 3 = 512,635.6667

If the quotient is a whole number, then 3 and 512,635.6667 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 1,537,907
-1 -1,537,907

Let's try dividing by 4:

1,537,907 ÷ 4 = 384,476.75

If the quotient is a whole number, then 4 and 384,476.75 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 1,537,907
-1 1,537,907
Keep dividing by the next highest number until you cannot divide anymore.

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

17835812,64718,529219,7011,537,907
-1-7-83-581-2,647-18,529-219,701-1,537,907

More Examples

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