Q: What are the factor combinations of the number 145,300,355?

 A:
Positive:   1 x 1453003555 x 2906007179 x 1839245395 x 367849
Negative: -1 x -145300355-5 x -29060071-79 x -1839245-395 x -367849


How do I find the factor combinations of the number 145,300,355?

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 145,300,355, 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.

1 145,300,355
-1 -145,300,355

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 145,300,355.

Example:
1 x 145,300,355 = 145,300,355
and
-1 x -145,300,355 = 145,300,355
Notice both answers equal 145,300,355

With that explanation out of the way, let's continue. Next, we take the number 145,300,355 and divide it by 2:

145,300,355 ÷ 2 = 72,650,177.5

If the quotient is a whole number, then 2 and 72,650,177.5 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:

1 145,300,355
-1 -145,300,355

Now, we try dividing 145,300,355 by 3:

145,300,355 ÷ 3 = 48,433,451.6667

If the quotient is a whole number, then 3 and 48,433,451.6667 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:

1 145,300,355
-1 -145,300,355

Let's try dividing by 4:

145,300,355 ÷ 4 = 36,325,088.75

If the quotient is a whole number, then 4 and 36,325,088.75 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:

1 145,300,355
-1 145,300,355
Keep dividing by the next highest number until you cannot divide anymore.

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

1579395367,8491,839,24529,060,071145,300,355
-1-5-79-395-367,849-1,839,245-29,060,071-145,300,355

More Examples

Here are some more numbers to try:

145,300,353145,300,354145,300,356145,300,357
Try the factor calculator

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