Q: What are the factor combinations of the number 425,145,505?

 A:
Positive:   1 x 4251455055 x 8502910183 x 5122235415 x 1024447499 x 8519952053 x 2070852495 x 17039910265 x 41417
Negative: -1 x -425145505-5 x -85029101-83 x -5122235-415 x -1024447-499 x -851995-2053 x -207085-2495 x -170399-10265 x -41417


How do I find the factor combinations of the number 425,145,505?

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 425,145,505, 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.

1 425,145,505
-1 -425,145,505

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 425,145,505.

Example:
1 x 425,145,505 = 425,145,505
and
-1 x -425,145,505 = 425,145,505
Notice both answers equal 425,145,505

With that explanation out of the way, let's continue. Next, we take the number 425,145,505 and divide it by 2:

425,145,505 ÷ 2 = 212,572,752.5

If the quotient is a whole number, then 2 and 212,572,752.5 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:

1 425,145,505
-1 -425,145,505

Now, we try dividing 425,145,505 by 3:

425,145,505 ÷ 3 = 141,715,168.3333

If the quotient is a whole number, then 3 and 141,715,168.3333 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:

1 425,145,505
-1 -425,145,505

Let's try dividing by 4:

425,145,505 ÷ 4 = 106,286,376.25

If the quotient is a whole number, then 4 and 106,286,376.25 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:

1 425,145,505
-1 425,145,505
Keep dividing by the next highest number until you cannot divide anymore.

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

15834154992,0532,49510,26541,417170,399207,085851,9951,024,4475,122,23585,029,101425,145,505
-1-5-83-415-499-2,053-2,495-10,265-41,417-170,399-207,085-851,995-1,024,447-5,122,235-85,029,101-425,145,505

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