Q: What are the factor combinations of the number 49,148,699?

 A:
Positive:   1 x 4914869943 x 114299347 x 104571783 x 592153293 x 1677432021 x 243193569 x 137713901 x 12599
Negative: -1 x -49148699-43 x -1142993-47 x -1045717-83 x -592153-293 x -167743-2021 x -24319-3569 x -13771-3901 x -12599


How do I find the factor combinations of the number 49,148,699?

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 49,148,699, 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 49,148,699
-1 -49,148,699

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 49,148,699.

Example:
1 x 49,148,699 = 49,148,699
and
-1 x -49,148,699 = 49,148,699
Notice both answers equal 49,148,699

With that explanation out of the way, let's continue. Next, we take the number 49,148,699 and divide it by 2:

49,148,699 ÷ 2 = 24,574,349.5

If the quotient is a whole number, then 2 and 24,574,349.5 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 49,148,699
-1 -49,148,699

Now, we try dividing 49,148,699 by 3:

49,148,699 ÷ 3 = 16,382,899.6667

If the quotient is a whole number, then 3 and 16,382,899.6667 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 49,148,699
-1 -49,148,699

Let's try dividing by 4:

49,148,699 ÷ 4 = 12,287,174.75

If the quotient is a whole number, then 4 and 12,287,174.75 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 49,148,699
-1 49,148,699
Keep dividing by the next highest number until you cannot divide anymore.

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

14347832932,0213,5693,90112,59913,77124,319167,743592,1531,045,7171,142,99349,148,699
-1-43-47-83-293-2,021-3,569-3,901-12,599-13,771-24,319-167,743-592,153-1,045,717-1,142,993-49,148,699

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