Q: What are the factor combinations of the number 145,172,365?

 A:
Positive:   1 x 1451723655 x 2903447313 x 1116710565 x 2233421563 x 2578552815 x 515713967 x 365957319 x 19835
Negative: -1 x -145172365-5 x -29034473-13 x -11167105-65 x -2233421-563 x -257855-2815 x -51571-3967 x -36595-7319 x -19835


How do I find the factor combinations of the number 145,172,365?

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 145,172,365, 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.

1 145,172,365
-1 -145,172,365

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 145,172,365.

Example:
1 x 145,172,365 = 145,172,365
and
-1 x -145,172,365 = 145,172,365
Notice both answers equal 145,172,365

With that explanation out of the way, let's continue. Next, we take the number 145,172,365 and divide it by 2:

145,172,365 ÷ 2 = 72,586,182.5

If the quotient is a whole number, then 2 and 72,586,182.5 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:

1 145,172,365
-1 -145,172,365

Now, we try dividing 145,172,365 by 3:

145,172,365 ÷ 3 = 48,390,788.3333

If the quotient is a whole number, then 3 and 48,390,788.3333 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:

1 145,172,365
-1 -145,172,365

Let's try dividing by 4:

145,172,365 ÷ 4 = 36,293,091.25

If the quotient is a whole number, then 4 and 36,293,091.25 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:

1 145,172,365
-1 145,172,365
Keep dividing by the next highest number until you cannot divide anymore.

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

1513655632,8153,9677,31919,83536,59551,571257,8552,233,42111,167,10529,034,473145,172,365
-1-5-13-65-563-2,815-3,967-7,319-19,835-36,595-51,571-257,855-2,233,421-11,167,105-29,034,473-145,172,365

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