Q: What are the factor combinations of the number 4,738,349?

 A:
Positive:   1 x 47383497 x 67690711 x 43075949 x 9670159 x 8031177 x 61537149 x 31801413 x 11473539 x 8791649 x 73011043 x 45431639 x 2891
Negative: -1 x -4738349-7 x -676907-11 x -430759-49 x -96701-59 x -80311-77 x -61537-149 x -31801-413 x -11473-539 x -8791-649 x -7301-1043 x -4543-1639 x -2891


How do I find the factor combinations of the number 4,738,349?

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 4,738,349, 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 4,738,349
-1 -4,738,349

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 4,738,349.

Example:
1 x 4,738,349 = 4,738,349
and
-1 x -4,738,349 = 4,738,349
Notice both answers equal 4,738,349

With that explanation out of the way, let's continue. Next, we take the number 4,738,349 and divide it by 2:

4,738,349 ÷ 2 = 2,369,174.5

If the quotient is a whole number, then 2 and 2,369,174.5 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 4,738,349
-1 -4,738,349

Now, we try dividing 4,738,349 by 3:

4,738,349 ÷ 3 = 1,579,449.6667

If the quotient is a whole number, then 3 and 1,579,449.6667 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 4,738,349
-1 -4,738,349

Let's try dividing by 4:

4,738,349 ÷ 4 = 1,184,587.25

If the quotient is a whole number, then 4 and 1,184,587.25 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 4,738,349
-1 4,738,349
Keep dividing by the next highest number until you cannot divide anymore.

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

17114959771494135396491,0431,6392,8914,5437,3018,79111,47331,80161,53780,31196,701430,759676,9074,738,349
-1-7-11-49-59-77-149-413-539-649-1,043-1,639-2,891-4,543-7,301-8,791-11,473-31,801-61,537-80,311-96,701-430,759-676,907-4,738,349

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