Q: What are the factor combinations of the number 145,520,357?

 A:
Positive:   1 x 14552035717 x 856002141 x 3549277103 x 1412819697 x 2087811751 x 831072027 x 717914223 x 34459
Negative: -1 x -145520357-17 x -8560021-41 x -3549277-103 x -1412819-697 x -208781-1751 x -83107-2027 x -71791-4223 x -34459


How do I find the factor combinations of the number 145,520,357?

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 145,520,357, 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.

1 145,520,357
-1 -145,520,357

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 145,520,357.

Example:
1 x 145,520,357 = 145,520,357
and
-1 x -145,520,357 = 145,520,357
Notice both answers equal 145,520,357

With that explanation out of the way, let's continue. Next, we take the number 145,520,357 and divide it by 2:

145,520,357 ÷ 2 = 72,760,178.5

If the quotient is a whole number, then 2 and 72,760,178.5 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:

1 145,520,357
-1 -145,520,357

Now, we try dividing 145,520,357 by 3:

145,520,357 ÷ 3 = 48,506,785.6667

If the quotient is a whole number, then 3 and 48,506,785.6667 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:

1 145,520,357
-1 -145,520,357

Let's try dividing by 4:

145,520,357 ÷ 4 = 36,380,089.25

If the quotient is a whole number, then 4 and 36,380,089.25 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:

1 145,520,357
-1 145,520,357
Keep dividing by the next highest number until you cannot divide anymore.

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

117411036971,7512,0274,22334,45971,79183,107208,7811,412,8193,549,2778,560,021145,520,357
-1-17-41-103-697-1,751-2,027-4,223-34,459-71,791-83,107-208,781-1,412,819-3,549,277-8,560,021-145,520,357

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