Q: What are the factor combinations of the number 145,597,435?

 A:
Positive:   1 x 1455974355 x 2911948717 x 856455585 x 1712911137 x 1062755685 x 2125512329 x 6251511645 x 12503
Negative: -1 x -145597435-5 x -29119487-17 x -8564555-85 x -1712911-137 x -1062755-685 x -212551-2329 x -62515-11645 x -12503


How do I find the factor combinations of the number 145,597,435?

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 145,597,435, 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.

1 145,597,435
-1 -145,597,435

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 145,597,435.

Example:
1 x 145,597,435 = 145,597,435
and
-1 x -145,597,435 = 145,597,435
Notice both answers equal 145,597,435

With that explanation out of the way, let's continue. Next, we take the number 145,597,435 and divide it by 2:

145,597,435 ÷ 2 = 72,798,717.5

If the quotient is a whole number, then 2 and 72,798,717.5 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:

1 145,597,435
-1 -145,597,435

Now, we try dividing 145,597,435 by 3:

145,597,435 ÷ 3 = 48,532,478.3333

If the quotient is a whole number, then 3 and 48,532,478.3333 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:

1 145,597,435
-1 -145,597,435

Let's try dividing by 4:

145,597,435 ÷ 4 = 36,399,358.75

If the quotient is a whole number, then 4 and 36,399,358.75 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:

1 145,597,435
-1 145,597,435
Keep dividing by the next highest number until you cannot divide anymore.

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

1517851376852,32911,64512,50362,515212,5511,062,7551,712,9118,564,55529,119,487145,597,435
-1-5-17-85-137-685-2,329-11,645-12,503-62,515-212,551-1,062,755-1,712,911-8,564,555-29,119,487-145,597,435

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