Q: What are the factor combinations of the number 425,024,215?

 A:
Positive:   1 x 4250242155 x 850048437 x 6071774511 x 3863856535 x 1214354955 x 772771367 x 634364577 x 5519795335 x 1268729385 x 1103959469 x 906235737 x 5766952345 x 1812473685 x 1153395159 x 8238516477 x 25795
Negative: -1 x -425024215-5 x -85004843-7 x -60717745-11 x -38638565-35 x -12143549-55 x -7727713-67 x -6343645-77 x -5519795-335 x -1268729-385 x -1103959-469 x -906235-737 x -576695-2345 x -181247-3685 x -115339-5159 x -82385-16477 x -25795


How do I find the factor combinations of the number 425,024,215?

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 425,024,215, 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.

1 425,024,215
-1 -425,024,215

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 425,024,215.

Example:
1 x 425,024,215 = 425,024,215
and
-1 x -425,024,215 = 425,024,215
Notice both answers equal 425,024,215

With that explanation out of the way, let's continue. Next, we take the number 425,024,215 and divide it by 2:

425,024,215 ÷ 2 = 212,512,107.5

If the quotient is a whole number, then 2 and 212,512,107.5 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:

1 425,024,215
-1 -425,024,215

Now, we try dividing 425,024,215 by 3:

425,024,215 ÷ 3 = 141,674,738.3333

If the quotient is a whole number, then 3 and 141,674,738.3333 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:

1 425,024,215
-1 -425,024,215

Let's try dividing by 4:

425,024,215 ÷ 4 = 106,256,053.75

If the quotient is a whole number, then 4 and 106,256,053.75 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:

1 425,024,215
-1 425,024,215
Keep dividing by the next highest number until you cannot divide anymore.

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

15711355567773353854697372,3453,6855,15916,47725,79582,385115,339181,247576,695906,2351,103,9591,268,7295,519,7956,343,6457,727,71312,143,54938,638,56560,717,74585,004,843425,024,215
-1-5-7-11-35-55-67-77-335-385-469-737-2,345-3,685-5,159-16,477-25,795-82,385-115,339-181,247-576,695-906,235-1,103,959-1,268,729-5,519,795-6,343,645-7,727,713-12,143,549-38,638,565-60,717,745-85,004,843-425,024,215

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