Q: What are the factor combinations of the number 63,428,431?

 A:
Positive:   1 x 6342843111 x 576622167 x 94669389 x 712679737 x 86063967 x 65593979 x 647895963 x 10637
Negative: -1 x -63428431-11 x -5766221-67 x -946693-89 x -712679-737 x -86063-967 x -65593-979 x -64789-5963 x -10637


How do I find the factor combinations of the number 63,428,431?

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 63,428,431, 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 63,428,431
-1 -63,428,431

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 63,428,431.

Example:
1 x 63,428,431 = 63,428,431
and
-1 x -63,428,431 = 63,428,431
Notice both answers equal 63,428,431

With that explanation out of the way, let's continue. Next, we take the number 63,428,431 and divide it by 2:

63,428,431 ÷ 2 = 31,714,215.5

If the quotient is a whole number, then 2 and 31,714,215.5 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 63,428,431
-1 -63,428,431

Now, we try dividing 63,428,431 by 3:

63,428,431 ÷ 3 = 21,142,810.3333

If the quotient is a whole number, then 3 and 21,142,810.3333 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 63,428,431
-1 -63,428,431

Let's try dividing by 4:

63,428,431 ÷ 4 = 15,857,107.75

If the quotient is a whole number, then 4 and 15,857,107.75 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 63,428,431
-1 63,428,431
Keep dividing by the next highest number until you cannot divide anymore.

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

11167897379679795,96310,63764,78965,59386,063712,679946,6935,766,22163,428,431
-1-11-67-89-737-967-979-5,963-10,637-64,789-65,593-86,063-712,679-946,693-5,766,221-63,428,431

More Examples

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