Q: What are the factor combinations of the number 403,012,445?

 A:
Positive:   1 x 4030124455 x 8060248911 x 3663749555 x 73274992473 x 1629652963 x 13601512365 x 3259314815 x 27203
Negative: -1 x -403012445-5 x -80602489-11 x -36637495-55 x -7327499-2473 x -162965-2963 x -136015-12365 x -32593-14815 x -27203


How do I find the factor combinations of the number 403,012,445?

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 403,012,445, 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.

1 403,012,445
-1 -403,012,445

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 403,012,445.

Example:
1 x 403,012,445 = 403,012,445
and
-1 x -403,012,445 = 403,012,445
Notice both answers equal 403,012,445

With that explanation out of the way, let's continue. Next, we take the number 403,012,445 and divide it by 2:

403,012,445 ÷ 2 = 201,506,222.5

If the quotient is a whole number, then 2 and 201,506,222.5 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:

1 403,012,445
-1 -403,012,445

Now, we try dividing 403,012,445 by 3:

403,012,445 ÷ 3 = 134,337,481.6667

If the quotient is a whole number, then 3 and 134,337,481.6667 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:

1 403,012,445
-1 -403,012,445

Let's try dividing by 4:

403,012,445 ÷ 4 = 100,753,111.25

If the quotient is a whole number, then 4 and 100,753,111.25 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:

1 403,012,445
-1 403,012,445
Keep dividing by the next highest number until you cannot divide anymore.

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

1511552,4732,96312,36514,81527,20332,593136,015162,9657,327,49936,637,49580,602,489403,012,445
-1-5-11-55-2,473-2,963-12,365-14,815-27,203-32,593-136,015-162,965-7,327,499-36,637,495-80,602,489-403,012,445

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