Q: What are the factor combinations of the number 145,152,535?

 A:
Positive:   1 x 1451525355 x 2903050711 x 1319568555 x 26391371249 x 1162152113 x 686956245 x 2324310565 x 13739
Negative: -1 x -145152535-5 x -29030507-11 x -13195685-55 x -2639137-1249 x -116215-2113 x -68695-6245 x -23243-10565 x -13739


How do I find the factor combinations of the number 145,152,535?

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 145,152,535, 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.

1 145,152,535
-1 -145,152,535

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 145,152,535.

Example:
1 x 145,152,535 = 145,152,535
and
-1 x -145,152,535 = 145,152,535
Notice both answers equal 145,152,535

With that explanation out of the way, let's continue. Next, we take the number 145,152,535 and divide it by 2:

145,152,535 ÷ 2 = 72,576,267.5

If the quotient is a whole number, then 2 and 72,576,267.5 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:

1 145,152,535
-1 -145,152,535

Now, we try dividing 145,152,535 by 3:

145,152,535 ÷ 3 = 48,384,178.3333

If the quotient is a whole number, then 3 and 48,384,178.3333 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:

1 145,152,535
-1 -145,152,535

Let's try dividing by 4:

145,152,535 ÷ 4 = 36,288,133.75

If the quotient is a whole number, then 4 and 36,288,133.75 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:

1 145,152,535
-1 145,152,535
Keep dividing by the next highest number until you cannot divide anymore.

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

1511551,2492,1136,24510,56513,73923,24368,695116,2152,639,13713,195,68529,030,507145,152,535
-1-5-11-55-1,249-2,113-6,245-10,565-13,739-23,243-68,695-116,215-2,639,137-13,195,685-29,030,507-145,152,535

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