Q: What are the factor combinations of the number 145,348,825?

 A:
Positive:   1 x 1453488255 x 2906976525 x 5813953139 x 1045675151 x 962575277 x 524725695 x 209135755 x 1925151385 x 1049453475 x 418273775 x 385036925 x 20989
Negative: -1 x -145348825-5 x -29069765-25 x -5813953-139 x -1045675-151 x -962575-277 x -524725-695 x -209135-755 x -192515-1385 x -104945-3475 x -41827-3775 x -38503-6925 x -20989


How do I find the factor combinations of the number 145,348,825?

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 145,348,825, 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.

1 145,348,825
-1 -145,348,825

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 145,348,825.

Example:
1 x 145,348,825 = 145,348,825
and
-1 x -145,348,825 = 145,348,825
Notice both answers equal 145,348,825

With that explanation out of the way, let's continue. Next, we take the number 145,348,825 and divide it by 2:

145,348,825 ÷ 2 = 72,674,412.5

If the quotient is a whole number, then 2 and 72,674,412.5 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:

1 145,348,825
-1 -145,348,825

Now, we try dividing 145,348,825 by 3:

145,348,825 ÷ 3 = 48,449,608.3333

If the quotient is a whole number, then 3 and 48,449,608.3333 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:

1 145,348,825
-1 -145,348,825

Let's try dividing by 4:

145,348,825 ÷ 4 = 36,337,206.25

If the quotient is a whole number, then 4 and 36,337,206.25 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:

1 145,348,825
-1 145,348,825
Keep dividing by the next highest number until you cannot divide anymore.

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

15251391512776957551,3853,4753,7756,92520,98938,50341,827104,945192,515209,135524,725962,5751,045,6755,813,95329,069,765145,348,825
-1-5-25-139-151-277-695-755-1,385-3,475-3,775-6,925-20,989-38,503-41,827-104,945-192,515-209,135-524,725-962,575-1,045,675-5,813,953-29,069,765-145,348,825

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