Q: What are the factor combinations of the number 400,530,353?

 A:
Positive:   1 x 40053035317 x 2356060941 x 9769033197 x 2033149697 x 5746492917 x 1373093349 x 1195978077 x 49589
Negative: -1 x -400530353-17 x -23560609-41 x -9769033-197 x -2033149-697 x -574649-2917 x -137309-3349 x -119597-8077 x -49589


How do I find the factor combinations of the number 400,530,353?

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 400,530,353, 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.

1 400,530,353
-1 -400,530,353

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 400,530,353.

Example:
1 x 400,530,353 = 400,530,353
and
-1 x -400,530,353 = 400,530,353
Notice both answers equal 400,530,353

With that explanation out of the way, let's continue. Next, we take the number 400,530,353 and divide it by 2:

400,530,353 ÷ 2 = 200,265,176.5

If the quotient is a whole number, then 2 and 200,265,176.5 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:

1 400,530,353
-1 -400,530,353

Now, we try dividing 400,530,353 by 3:

400,530,353 ÷ 3 = 133,510,117.6667

If the quotient is a whole number, then 3 and 133,510,117.6667 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:

1 400,530,353
-1 -400,530,353

Let's try dividing by 4:

400,530,353 ÷ 4 = 100,132,588.25

If the quotient is a whole number, then 4 and 100,132,588.25 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:

1 400,530,353
-1 400,530,353
Keep dividing by the next highest number until you cannot divide anymore.

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

117411976972,9173,3498,07749,589119,597137,309574,6492,033,1499,769,03323,560,609400,530,353
-1-17-41-197-697-2,917-3,349-8,077-49,589-119,597-137,309-574,649-2,033,149-9,769,033-23,560,609-400,530,353

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