Q: What are the factor combinations of the number 402,110,657?

 A:
Positive:   1 x 40211065713 x 3093158941 x 9807577131 x 3069547169 x 2379353443 x 907699533 x 7544291703 x 2361195371 x 748675759 x 698236929 x 5803318163 x 22139
Negative: -1 x -402110657-13 x -30931589-41 x -9807577-131 x -3069547-169 x -2379353-443 x -907699-533 x -754429-1703 x -236119-5371 x -74867-5759 x -69823-6929 x -58033-18163 x -22139


How do I find the factor combinations of the number 402,110,657?

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 402,110,657, 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.

1 402,110,657
-1 -402,110,657

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 402,110,657.

Example:
1 x 402,110,657 = 402,110,657
and
-1 x -402,110,657 = 402,110,657
Notice both answers equal 402,110,657

With that explanation out of the way, let's continue. Next, we take the number 402,110,657 and divide it by 2:

402,110,657 ÷ 2 = 201,055,328.5

If the quotient is a whole number, then 2 and 201,055,328.5 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:

1 402,110,657
-1 -402,110,657

Now, we try dividing 402,110,657 by 3:

402,110,657 ÷ 3 = 134,036,885.6667

If the quotient is a whole number, then 3 and 134,036,885.6667 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:

1 402,110,657
-1 -402,110,657

Let's try dividing by 4:

402,110,657 ÷ 4 = 100,527,664.25

If the quotient is a whole number, then 4 and 100,527,664.25 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:

1 402,110,657
-1 402,110,657
Keep dividing by the next highest number until you cannot divide anymore.

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

113411311694435331,7035,3715,7596,92918,16322,13958,03369,82374,867236,119754,429907,6992,379,3533,069,5479,807,57730,931,589402,110,657
-1-13-41-131-169-443-533-1,703-5,371-5,759-6,929-18,163-22,139-58,033-69,823-74,867-236,119-754,429-907,699-2,379,353-3,069,547-9,807,577-30,931,589-402,110,657

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