Q: What are the factor combinations of the number 425,134,745?

 A:
Positive:   1 x 4251347455 x 850269497 x 6073353535 x 12146707331 x 12843951655 x 2568792317 x 18348511585 x 36697
Negative: -1 x -425134745-5 x -85026949-7 x -60733535-35 x -12146707-331 x -1284395-1655 x -256879-2317 x -183485-11585 x -36697


How do I find the factor combinations of the number 425,134,745?

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 425,134,745, 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.

1 425,134,745
-1 -425,134,745

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 425,134,745.

Example:
1 x 425,134,745 = 425,134,745
and
-1 x -425,134,745 = 425,134,745
Notice both answers equal 425,134,745

With that explanation out of the way, let's continue. Next, we take the number 425,134,745 and divide it by 2:

425,134,745 ÷ 2 = 212,567,372.5

If the quotient is a whole number, then 2 and 212,567,372.5 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:

1 425,134,745
-1 -425,134,745

Now, we try dividing 425,134,745 by 3:

425,134,745 ÷ 3 = 141,711,581.6667

If the quotient is a whole number, then 3 and 141,711,581.6667 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:

1 425,134,745
-1 -425,134,745

Let's try dividing by 4:

425,134,745 ÷ 4 = 106,283,686.25

If the quotient is a whole number, then 4 and 106,283,686.25 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:

1 425,134,745
-1 425,134,745
Keep dividing by the next highest number until you cannot divide anymore.

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

157353311,6552,31711,58536,697183,485256,8791,284,39512,146,70760,733,53585,026,949425,134,745
-1-5-7-35-331-1,655-2,317-11,585-36,697-183,485-256,879-1,284,395-12,146,707-60,733,535-85,026,949-425,134,745

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