Q: What are the factor combinations of the number 155,742,361?

 A:
Positive:   1 x 15574236123 x 677140737 x 420925373 x 2133457109 x 1428829529 x 294409851 x 1830111679 x 927592507 x 621232701 x 576614033 x 386177957 x 19573
Negative: -1 x -155742361-23 x -6771407-37 x -4209253-73 x -2133457-109 x -1428829-529 x -294409-851 x -183011-1679 x -92759-2507 x -62123-2701 x -57661-4033 x -38617-7957 x -19573


How do I find the factor combinations of the number 155,742,361?

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 155,742,361, 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.

1 155,742,361
-1 -155,742,361

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 155,742,361.

Example:
1 x 155,742,361 = 155,742,361
and
-1 x -155,742,361 = 155,742,361
Notice both answers equal 155,742,361

With that explanation out of the way, let's continue. Next, we take the number 155,742,361 and divide it by 2:

155,742,361 ÷ 2 = 77,871,180.5

If the quotient is a whole number, then 2 and 77,871,180.5 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:

1 155,742,361
-1 -155,742,361

Now, we try dividing 155,742,361 by 3:

155,742,361 ÷ 3 = 51,914,120.3333

If the quotient is a whole number, then 3 and 51,914,120.3333 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:

1 155,742,361
-1 -155,742,361

Let's try dividing by 4:

155,742,361 ÷ 4 = 38,935,590.25

If the quotient is a whole number, then 4 and 38,935,590.25 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:

1 155,742,361
-1 155,742,361
Keep dividing by the next highest number until you cannot divide anymore.

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

12337731095298511,6792,5072,7014,0337,95719,57338,61757,66162,12392,759183,011294,4091,428,8292,133,4574,209,2536,771,407155,742,361
-1-23-37-73-109-529-851-1,679-2,507-2,701-4,033-7,957-19,573-38,617-57,661-62,123-92,759-183,011-294,409-1,428,829-2,133,457-4,209,253-6,771,407-155,742,361

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