Q: What are the factor combinations of the number 402,036,455?

 A:
Positive:   1 x 4020364555 x 8040729143 x 9349685215 x 1869937307 x 13095651535 x 2619136091 x 6600513201 x 30455
Negative: -1 x -402036455-5 x -80407291-43 x -9349685-215 x -1869937-307 x -1309565-1535 x -261913-6091 x -66005-13201 x -30455


How do I find the factor combinations of the number 402,036,455?

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 402,036,455, 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.

1 402,036,455
-1 -402,036,455

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 402,036,455.

Example:
1 x 402,036,455 = 402,036,455
and
-1 x -402,036,455 = 402,036,455
Notice both answers equal 402,036,455

With that explanation out of the way, let's continue. Next, we take the number 402,036,455 and divide it by 2:

402,036,455 ÷ 2 = 201,018,227.5

If the quotient is a whole number, then 2 and 201,018,227.5 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:

1 402,036,455
-1 -402,036,455

Now, we try dividing 402,036,455 by 3:

402,036,455 ÷ 3 = 134,012,151.6667

If the quotient is a whole number, then 3 and 134,012,151.6667 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:

1 402,036,455
-1 -402,036,455

Let's try dividing by 4:

402,036,455 ÷ 4 = 100,509,113.75

If the quotient is a whole number, then 4 and 100,509,113.75 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:

1 402,036,455
-1 402,036,455
Keep dividing by the next highest number until you cannot divide anymore.

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

15432153071,5356,09113,20130,45566,005261,9131,309,5651,869,9379,349,68580,407,291402,036,455
-1-5-43-215-307-1,535-6,091-13,201-30,455-66,005-261,913-1,309,565-1,869,937-9,349,685-80,407,291-402,036,455

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