Q: What are the factor combinations of the number 424,430,125?

 A:
Positive:   1 x 4244301255 x 848860257 x 6063287525 x 1697720535 x 12126575125 x 3395441175 x 2425315875 x 485063
Negative: -1 x -424430125-5 x -84886025-7 x -60632875-25 x -16977205-35 x -12126575-125 x -3395441-175 x -2425315-875 x -485063


How do I find the factor combinations of the number 424,430,125?

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 424,430,125, 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.

1 424,430,125
-1 -424,430,125

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 424,430,125.

Example:
1 x 424,430,125 = 424,430,125
and
-1 x -424,430,125 = 424,430,125
Notice both answers equal 424,430,125

With that explanation out of the way, let's continue. Next, we take the number 424,430,125 and divide it by 2:

424,430,125 ÷ 2 = 212,215,062.5

If the quotient is a whole number, then 2 and 212,215,062.5 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:

1 424,430,125
-1 -424,430,125

Now, we try dividing 424,430,125 by 3:

424,430,125 ÷ 3 = 141,476,708.3333

If the quotient is a whole number, then 3 and 141,476,708.3333 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:

1 424,430,125
-1 -424,430,125

Let's try dividing by 4:

424,430,125 ÷ 4 = 106,107,531.25

If the quotient is a whole number, then 4 and 106,107,531.25 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:

1 424,430,125
-1 424,430,125
Keep dividing by the next highest number until you cannot divide anymore.

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

1572535125175875485,0632,425,3153,395,44112,126,57516,977,20560,632,87584,886,025424,430,125
-1-5-7-25-35-125-175-875-485,063-2,425,315-3,395,441-12,126,575-16,977,205-60,632,875-84,886,025-424,430,125

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