Q: What are the factor combinations of the number 152,013,125?

 A:
Positive:   1 x 1520131255 x 3040262511 x 1381937525 x 608052555 x 2763875125 x 1216105275 x 552775625 x 2432211375 x 1105556875 x 22111
Negative: -1 x -152013125-5 x -30402625-11 x -13819375-25 x -6080525-55 x -2763875-125 x -1216105-275 x -552775-625 x -243221-1375 x -110555-6875 x -22111


How do I find the factor combinations of the number 152,013,125?

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 152,013,125, 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.

1 152,013,125
-1 -152,013,125

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 152,013,125.

Example:
1 x 152,013,125 = 152,013,125
and
-1 x -152,013,125 = 152,013,125
Notice both answers equal 152,013,125

With that explanation out of the way, let's continue. Next, we take the number 152,013,125 and divide it by 2:

152,013,125 ÷ 2 = 76,006,562.5

If the quotient is a whole number, then 2 and 76,006,562.5 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:

1 152,013,125
-1 -152,013,125

Now, we try dividing 152,013,125 by 3:

152,013,125 ÷ 3 = 50,671,041.6667

If the quotient is a whole number, then 3 and 50,671,041.6667 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:

1 152,013,125
-1 -152,013,125

Let's try dividing by 4:

152,013,125 ÷ 4 = 38,003,281.25

If the quotient is a whole number, then 4 and 38,003,281.25 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:

1 152,013,125
-1 152,013,125
Keep dividing by the next highest number until you cannot divide anymore.

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

151125551252756251,3756,87522,111110,555243,221552,7751,216,1052,763,8756,080,52513,819,37530,402,625152,013,125
-1-5-11-25-55-125-275-625-1,375-6,875-22,111-110,555-243,221-552,775-1,216,105-2,763,875-6,080,525-13,819,375-30,402,625-152,013,125

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