Q: What are the factor combinations of the number 145,032,349?

 A:
Positive:   1 x 1450323497 x 2071890711 x 1318475977 x 1883537127 x 1141987889 x 1631411397 x 1038179779 x 14831
Negative: -1 x -145032349-7 x -20718907-11 x -13184759-77 x -1883537-127 x -1141987-889 x -163141-1397 x -103817-9779 x -14831


How do I find the factor combinations of the number 145,032,349?

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 145,032,349, 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.

1 145,032,349
-1 -145,032,349

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 145,032,349.

Example:
1 x 145,032,349 = 145,032,349
and
-1 x -145,032,349 = 145,032,349
Notice both answers equal 145,032,349

With that explanation out of the way, let's continue. Next, we take the number 145,032,349 and divide it by 2:

145,032,349 ÷ 2 = 72,516,174.5

If the quotient is a whole number, then 2 and 72,516,174.5 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:

1 145,032,349
-1 -145,032,349

Now, we try dividing 145,032,349 by 3:

145,032,349 ÷ 3 = 48,344,116.3333

If the quotient is a whole number, then 3 and 48,344,116.3333 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:

1 145,032,349
-1 -145,032,349

Let's try dividing by 4:

145,032,349 ÷ 4 = 36,258,087.25

If the quotient is a whole number, then 4 and 36,258,087.25 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:

1 145,032,349
-1 145,032,349
Keep dividing by the next highest number until you cannot divide anymore.

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

1711771278891,3979,77914,831103,817163,1411,141,9871,883,53713,184,75920,718,907145,032,349
-1-7-11-77-127-889-1,397-9,779-14,831-103,817-163,141-1,141,987-1,883,537-13,184,759-20,718,907-145,032,349

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