Q: What are the factor combinations of the number 145,092,431?

 A:
Positive:   1 x 14509243111 x 1319022131 x 468040147 x 3087073121 x 1199111341 x 425491517 x 280643823 x 1762971457 x 995833751 x 386815687 x 255139053 x 16027
Negative: -1 x -145092431-11 x -13190221-31 x -4680401-47 x -3087073-121 x -1199111-341 x -425491-517 x -280643-823 x -176297-1457 x -99583-3751 x -38681-5687 x -25513-9053 x -16027


How do I find the factor combinations of the number 145,092,431?

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 145,092,431, 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.

1 145,092,431
-1 -145,092,431

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 145,092,431.

Example:
1 x 145,092,431 = 145,092,431
and
-1 x -145,092,431 = 145,092,431
Notice both answers equal 145,092,431

With that explanation out of the way, let's continue. Next, we take the number 145,092,431 and divide it by 2:

145,092,431 ÷ 2 = 72,546,215.5

If the quotient is a whole number, then 2 and 72,546,215.5 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:

1 145,092,431
-1 -145,092,431

Now, we try dividing 145,092,431 by 3:

145,092,431 ÷ 3 = 48,364,143.6667

If the quotient is a whole number, then 3 and 48,364,143.6667 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:

1 145,092,431
-1 -145,092,431

Let's try dividing by 4:

145,092,431 ÷ 4 = 36,273,107.75

If the quotient is a whole number, then 4 and 36,273,107.75 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:

1 145,092,431
-1 145,092,431
Keep dividing by the next highest number until you cannot divide anymore.

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

11131471213415178231,4573,7515,6879,05316,02725,51338,68199,583176,297280,643425,4911,199,1113,087,0734,680,40113,190,221145,092,431
-1-11-31-47-121-341-517-823-1,457-3,751-5,687-9,053-16,027-25,513-38,681-99,583-176,297-280,643-425,491-1,199,111-3,087,073-4,680,401-13,190,221-145,092,431

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