Q: What are the factor combinations of the number 1,300,145?

 A:
Positive:   1 x 13001455 x 2600297 x 18573511 x 11819535 x 3714755 x 2363977 x 16885121 x 10745307 x 4235385 x 3377605 x 2149847 x 1535
Negative: -1 x -1300145-5 x -260029-7 x -185735-11 x -118195-35 x -37147-55 x -23639-77 x -16885-121 x -10745-307 x -4235-385 x -3377-605 x -2149-847 x -1535


How do I find the factor combinations of the number 1,300,145?

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 1,300,145, 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 1,300,145
-1 -1,300,145

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 1,300,145.

Example:
1 x 1,300,145 = 1,300,145
and
-1 x -1,300,145 = 1,300,145
Notice both answers equal 1,300,145

With that explanation out of the way, let's continue. Next, we take the number 1,300,145 and divide it by 2:

1,300,145 ÷ 2 = 650,072.5

If the quotient is a whole number, then 2 and 650,072.5 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 1,300,145
-1 -1,300,145

Now, we try dividing 1,300,145 by 3:

1,300,145 ÷ 3 = 433,381.6667

If the quotient is a whole number, then 3 and 433,381.6667 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 1,300,145
-1 -1,300,145

Let's try dividing by 4:

1,300,145 ÷ 4 = 325,036.25

If the quotient is a whole number, then 4 and 325,036.25 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 1,300,145
-1 1,300,145
Keep dividing by the next highest number until you cannot divide anymore.

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

157113555771213073856058471,5352,1493,3774,23510,74516,88523,63937,147118,195185,735260,0291,300,145
-1-5-7-11-35-55-77-121-307-385-605-847-1,535-2,149-3,377-4,235-10,745-16,885-23,639-37,147-118,195-185,735-260,029-1,300,145

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