Q: What are the factor combinations of the number 425,151,349?

 A:
Positive:   1 x 4251513497 x 6073590737 x 11490577103 x 4127683259 x 1641511721 x 5896693811 x 11155915937 x 26677
Negative: -1 x -425151349-7 x -60735907-37 x -11490577-103 x -4127683-259 x -1641511-721 x -589669-3811 x -111559-15937 x -26677


How do I find the factor combinations of the number 425,151,349?

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 425,151,349, 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.

1 425,151,349
-1 -425,151,349

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 425,151,349.

Example:
1 x 425,151,349 = 425,151,349
and
-1 x -425,151,349 = 425,151,349
Notice both answers equal 425,151,349

With that explanation out of the way, let's continue. Next, we take the number 425,151,349 and divide it by 2:

425,151,349 ÷ 2 = 212,575,674.5

If the quotient is a whole number, then 2 and 212,575,674.5 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:

1 425,151,349
-1 -425,151,349

Now, we try dividing 425,151,349 by 3:

425,151,349 ÷ 3 = 141,717,116.3333

If the quotient is a whole number, then 3 and 141,717,116.3333 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:

1 425,151,349
-1 -425,151,349

Let's try dividing by 4:

425,151,349 ÷ 4 = 106,287,837.25

If the quotient is a whole number, then 4 and 106,287,837.25 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:

1 425,151,349
-1 425,151,349
Keep dividing by the next highest number until you cannot divide anymore.

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

17371032597213,81115,93726,677111,559589,6691,641,5114,127,68311,490,57760,735,907425,151,349
-1-7-37-103-259-721-3,811-15,937-26,677-111,559-589,669-1,641,511-4,127,683-11,490,577-60,735,907-425,151,349

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