Q: What are the factor combinations of the number 42,444,143?

 A:
Positive:   1 x 424441437 x 606344937 x 114713941 x 103522349 x 866207259 x 163877287 x 147889571 x 743331517 x 279791813 x 234112009 x 211273997 x 10619
Negative: -1 x -42444143-7 x -6063449-37 x -1147139-41 x -1035223-49 x -866207-259 x -163877-287 x -147889-571 x -74333-1517 x -27979-1813 x -23411-2009 x -21127-3997 x -10619


How do I find the factor combinations of the number 42,444,143?

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 42,444,143, 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 42,444,143
-1 -42,444,143

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 42,444,143.

Example:
1 x 42,444,143 = 42,444,143
and
-1 x -42,444,143 = 42,444,143
Notice both answers equal 42,444,143

With that explanation out of the way, let's continue. Next, we take the number 42,444,143 and divide it by 2:

42,444,143 ÷ 2 = 21,222,071.5

If the quotient is a whole number, then 2 and 21,222,071.5 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 42,444,143
-1 -42,444,143

Now, we try dividing 42,444,143 by 3:

42,444,143 ÷ 3 = 14,148,047.6667

If the quotient is a whole number, then 3 and 14,148,047.6667 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 42,444,143
-1 -42,444,143

Let's try dividing by 4:

42,444,143 ÷ 4 = 10,611,035.75

If the quotient is a whole number, then 4 and 10,611,035.75 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 42,444,143
-1 42,444,143
Keep dividing by the next highest number until you cannot divide anymore.

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

173741492592875711,5171,8132,0093,99710,61921,12723,41127,97974,333147,889163,877866,2071,035,2231,147,1396,063,44942,444,143
-1-7-37-41-49-259-287-571-1,517-1,813-2,009-3,997-10,619-21,127-23,411-27,979-74,333-147,889-163,877-866,207-1,035,223-1,147,139-6,063,449-42,444,143

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