Q: What are the factor combinations of the number 403,042,145?

 A:
Positive:   1 x 4030421455 x 8060842911 x 3664019529 x 1389800555 x 7328039145 x 2779601319 x 12634551595 x 252691
Negative: -1 x -403042145-5 x -80608429-11 x -36640195-29 x -13898005-55 x -7328039-145 x -2779601-319 x -1263455-1595 x -252691


How do I find the factor combinations of the number 403,042,145?

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 403,042,145, 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.

1 403,042,145
-1 -403,042,145

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 403,042,145.

Example:
1 x 403,042,145 = 403,042,145
and
-1 x -403,042,145 = 403,042,145
Notice both answers equal 403,042,145

With that explanation out of the way, let's continue. Next, we take the number 403,042,145 and divide it by 2:

403,042,145 ÷ 2 = 201,521,072.5

If the quotient is a whole number, then 2 and 201,521,072.5 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:

1 403,042,145
-1 -403,042,145

Now, we try dividing 403,042,145 by 3:

403,042,145 ÷ 3 = 134,347,381.6667

If the quotient is a whole number, then 3 and 134,347,381.6667 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:

1 403,042,145
-1 -403,042,145

Let's try dividing by 4:

403,042,145 ÷ 4 = 100,760,536.25

If the quotient is a whole number, then 4 and 100,760,536.25 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:

1 403,042,145
-1 403,042,145
Keep dividing by the next highest number until you cannot divide anymore.

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

151129551453191,595252,6911,263,4552,779,6017,328,03913,898,00536,640,19580,608,429403,042,145
-1-5-11-29-55-145-319-1,595-252,691-1,263,455-2,779,601-7,328,039-13,898,005-36,640,195-80,608,429-403,042,145

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