Q: What are the factor combinations of the number 48,426,905?

 A:
Positive:   1 x 484269055 x 968538159 x 820795139 x 348395295 x 164159695 x 696791181 x 410055905 x 8201
Negative: -1 x -48426905-5 x -9685381-59 x -820795-139 x -348395-295 x -164159-695 x -69679-1181 x -41005-5905 x -8201


How do I find the factor combinations of the number 48,426,905?

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 48,426,905, 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 48,426,905
-1 -48,426,905

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 48,426,905.

Example:
1 x 48,426,905 = 48,426,905
and
-1 x -48,426,905 = 48,426,905
Notice both answers equal 48,426,905

With that explanation out of the way, let's continue. Next, we take the number 48,426,905 and divide it by 2:

48,426,905 ÷ 2 = 24,213,452.5

If the quotient is a whole number, then 2 and 24,213,452.5 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 48,426,905
-1 -48,426,905

Now, we try dividing 48,426,905 by 3:

48,426,905 ÷ 3 = 16,142,301.6667

If the quotient is a whole number, then 3 and 16,142,301.6667 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 48,426,905
-1 -48,426,905

Let's try dividing by 4:

48,426,905 ÷ 4 = 12,106,726.25

If the quotient is a whole number, then 4 and 12,106,726.25 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 48,426,905
-1 48,426,905
Keep dividing by the next highest number until you cannot divide anymore.

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

15591392956951,1815,9058,20141,00569,679164,159348,395820,7959,685,38148,426,905
-1-5-59-139-295-695-1,181-5,905-8,201-41,005-69,679-164,159-348,395-820,795-9,685,381-48,426,905

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