Q: What are the factor combinations of the number 146,425,279?

 A:
Positive:   1 x 1464252797 x 2091789711 x 1331138913 x 1126348349 x 298827177 x 190162791 x 1609069143 x 1023953539 x 271661637 x 2298671001 x 1462797007 x 20897
Negative: -1 x -146425279-7 x -20917897-11 x -13311389-13 x -11263483-49 x -2988271-77 x -1901627-91 x -1609069-143 x -1023953-539 x -271661-637 x -229867-1001 x -146279-7007 x -20897


How do I find the factor combinations of the number 146,425,279?

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 146,425,279, 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.

1 146,425,279
-1 -146,425,279

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 146,425,279.

Example:
1 x 146,425,279 = 146,425,279
and
-1 x -146,425,279 = 146,425,279
Notice both answers equal 146,425,279

With that explanation out of the way, let's continue. Next, we take the number 146,425,279 and divide it by 2:

146,425,279 ÷ 2 = 73,212,639.5

If the quotient is a whole number, then 2 and 73,212,639.5 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:

1 146,425,279
-1 -146,425,279

Now, we try dividing 146,425,279 by 3:

146,425,279 ÷ 3 = 48,808,426.3333

If the quotient is a whole number, then 3 and 48,808,426.3333 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:

1 146,425,279
-1 -146,425,279

Let's try dividing by 4:

146,425,279 ÷ 4 = 36,606,319.75

If the quotient is a whole number, then 4 and 36,606,319.75 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:

1 146,425,279
-1 146,425,279
Keep dividing by the next highest number until you cannot divide anymore.

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

1711134977911435396371,0017,00720,897146,279229,867271,6611,023,9531,609,0691,901,6272,988,27111,263,48313,311,38920,917,897146,425,279
-1-7-11-13-49-77-91-143-539-637-1,001-7,007-20,897-146,279-229,867-271,661-1,023,953-1,609,069-1,901,627-2,988,271-11,263,483-13,311,389-20,917,897-146,425,279

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