Q: What are the factor combinations of the number 402,644,561?

 A:
Positive:   1 x 40264456111 x 3660405119 x 2119181943 x 9363827121 x 3327641209 x 1926529473 x 851257817 x 4928332299 x 1751394073 x 988575203 x 773878987 x 44803
Negative: -1 x -402644561-11 x -36604051-19 x -21191819-43 x -9363827-121 x -3327641-209 x -1926529-473 x -851257-817 x -492833-2299 x -175139-4073 x -98857-5203 x -77387-8987 x -44803


How do I find the factor combinations of the number 402,644,561?

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 402,644,561, 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.

1 402,644,561
-1 -402,644,561

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 402,644,561.

Example:
1 x 402,644,561 = 402,644,561
and
-1 x -402,644,561 = 402,644,561
Notice both answers equal 402,644,561

With that explanation out of the way, let's continue. Next, we take the number 402,644,561 and divide it by 2:

402,644,561 ÷ 2 = 201,322,280.5

If the quotient is a whole number, then 2 and 201,322,280.5 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:

1 402,644,561
-1 -402,644,561

Now, we try dividing 402,644,561 by 3:

402,644,561 ÷ 3 = 134,214,853.6667

If the quotient is a whole number, then 3 and 134,214,853.6667 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:

1 402,644,561
-1 -402,644,561

Let's try dividing by 4:

402,644,561 ÷ 4 = 100,661,140.25

If the quotient is a whole number, then 4 and 100,661,140.25 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:

1 402,644,561
-1 402,644,561
Keep dividing by the next highest number until you cannot divide anymore.

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

11119431212094738172,2994,0735,2038,98744,80377,38798,857175,139492,833851,2571,926,5293,327,6419,363,82721,191,81936,604,051402,644,561
-1-11-19-43-121-209-473-817-2,299-4,073-5,203-8,987-44,803-77,387-98,857-175,139-492,833-851,257-1,926,529-3,327,641-9,363,827-21,191,819-36,604,051-402,644,561

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