Q: What are the factor combinations of the number 42,738,553?

 A:
Positive:   1 x 4273855311 x 388532313 x 328758131 x 1378663143 x 298871311 x 137423341 x 125333403 x 106051961 x 444733421 x 124934043 x 105714433 x 9641
Negative: -1 x -42738553-11 x -3885323-13 x -3287581-31 x -1378663-143 x -298871-311 x -137423-341 x -125333-403 x -106051-961 x -44473-3421 x -12493-4043 x -10571-4433 x -9641


How do I find the factor combinations of the number 42,738,553?

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 42,738,553, 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 42,738,553
-1 -42,738,553

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 42,738,553.

Example:
1 x 42,738,553 = 42,738,553
and
-1 x -42,738,553 = 42,738,553
Notice both answers equal 42,738,553

With that explanation out of the way, let's continue. Next, we take the number 42,738,553 and divide it by 2:

42,738,553 ÷ 2 = 21,369,276.5

If the quotient is a whole number, then 2 and 21,369,276.5 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 42,738,553
-1 -42,738,553

Now, we try dividing 42,738,553 by 3:

42,738,553 ÷ 3 = 14,246,184.3333

If the quotient is a whole number, then 3 and 14,246,184.3333 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 42,738,553
-1 -42,738,553

Let's try dividing by 4:

42,738,553 ÷ 4 = 10,684,638.25

If the quotient is a whole number, then 4 and 10,684,638.25 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 42,738,553
-1 42,738,553
Keep dividing by the next highest number until you cannot divide anymore.

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

11113311433113414039613,4214,0434,4339,64110,57112,49344,473106,051125,333137,423298,8711,378,6633,287,5813,885,32342,738,553
-1-11-13-31-143-311-341-403-961-3,421-4,043-4,433-9,641-10,571-12,493-44,473-106,051-125,333-137,423-298,871-1,378,663-3,287,581-3,885,323-42,738,553

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