Q: What are the factor combinations of the number 402,420,403?

 A:
Positive:   1 x 4024204037 x 5748862911 x 3658367371 x 566789377 x 5226239497 x 809699781 x 5152635467 x 73609
Negative: -1 x -402420403-7 x -57488629-11 x -36583673-71 x -5667893-77 x -5226239-497 x -809699-781 x -515263-5467 x -73609


How do I find the factor combinations of the number 402,420,403?

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 402,420,403, 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.

1 402,420,403
-1 -402,420,403

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 402,420,403.

Example:
1 x 402,420,403 = 402,420,403
and
-1 x -402,420,403 = 402,420,403
Notice both answers equal 402,420,403

With that explanation out of the way, let's continue. Next, we take the number 402,420,403 and divide it by 2:

402,420,403 ÷ 2 = 201,210,201.5

If the quotient is a whole number, then 2 and 201,210,201.5 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:

1 402,420,403
-1 -402,420,403

Now, we try dividing 402,420,403 by 3:

402,420,403 ÷ 3 = 134,140,134.3333

If the quotient is a whole number, then 3 and 134,140,134.3333 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:

1 402,420,403
-1 -402,420,403

Let's try dividing by 4:

402,420,403 ÷ 4 = 100,605,100.75

If the quotient is a whole number, then 4 and 100,605,100.75 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:

1 402,420,403
-1 402,420,403
Keep dividing by the next highest number until you cannot divide anymore.

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

171171774977815,46773,609515,263809,6995,226,2395,667,89336,583,67357,488,629402,420,403
-1-7-11-71-77-497-781-5,467-73,609-515,263-809,699-5,226,239-5,667,893-36,583,673-57,488,629-402,420,403

More Examples

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