Q: What are the factor combinations of the number 145,757,185?

 A:
Positive:   1 x 1457571855 x 291514377 x 2082245535 x 41644911723 x 845952417 x 603058615 x 1691912061 x 12085
Negative: -1 x -145757185-5 x -29151437-7 x -20822455-35 x -4164491-1723 x -84595-2417 x -60305-8615 x -16919-12061 x -12085


How do I find the factor combinations of the number 145,757,185?

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 145,757,185, 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.

1 145,757,185
-1 -145,757,185

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 145,757,185.

Example:
1 x 145,757,185 = 145,757,185
and
-1 x -145,757,185 = 145,757,185
Notice both answers equal 145,757,185

With that explanation out of the way, let's continue. Next, we take the number 145,757,185 and divide it by 2:

145,757,185 ÷ 2 = 72,878,592.5

If the quotient is a whole number, then 2 and 72,878,592.5 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:

1 145,757,185
-1 -145,757,185

Now, we try dividing 145,757,185 by 3:

145,757,185 ÷ 3 = 48,585,728.3333

If the quotient is a whole number, then 3 and 48,585,728.3333 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:

1 145,757,185
-1 -145,757,185

Let's try dividing by 4:

145,757,185 ÷ 4 = 36,439,296.25

If the quotient is a whole number, then 4 and 36,439,296.25 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:

1 145,757,185
-1 145,757,185
Keep dividing by the next highest number until you cannot divide anymore.

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

157351,7232,4178,61512,06112,08516,91960,30584,5954,164,49120,822,45529,151,437145,757,185
-1-5-7-35-1,723-2,417-8,615-12,061-12,085-16,919-60,305-84,595-4,164,491-20,822,455-29,151,437-145,757,185

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