Q: What are the factor combinations of the number 152,411,525?

 A:
Positive:   1 x 1524115255 x 304823057 x 2177307525 x 609646135 x 4354615101 x 1509025175 x 870923505 x 301805707 x 2155752525 x 603613535 x 431158623 x 17675
Negative: -1 x -152411525-5 x -30482305-7 x -21773075-25 x -6096461-35 x -4354615-101 x -1509025-175 x -870923-505 x -301805-707 x -215575-2525 x -60361-3535 x -43115-8623 x -17675


How do I find the factor combinations of the number 152,411,525?

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 152,411,525, 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.

1 152,411,525
-1 -152,411,525

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 152,411,525.

Example:
1 x 152,411,525 = 152,411,525
and
-1 x -152,411,525 = 152,411,525
Notice both answers equal 152,411,525

With that explanation out of the way, let's continue. Next, we take the number 152,411,525 and divide it by 2:

152,411,525 ÷ 2 = 76,205,762.5

If the quotient is a whole number, then 2 and 76,205,762.5 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:

1 152,411,525
-1 -152,411,525

Now, we try dividing 152,411,525 by 3:

152,411,525 ÷ 3 = 50,803,841.6667

If the quotient is a whole number, then 3 and 50,803,841.6667 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:

1 152,411,525
-1 -152,411,525

Let's try dividing by 4:

152,411,525 ÷ 4 = 38,102,881.25

If the quotient is a whole number, then 4 and 38,102,881.25 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:

1 152,411,525
-1 152,411,525
Keep dividing by the next highest number until you cannot divide anymore.

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

15725351011755057072,5253,5358,62317,67543,11560,361215,575301,805870,9231,509,0254,354,6156,096,46121,773,07530,482,305152,411,525
-1-5-7-25-35-101-175-505-707-2,525-3,535-8,623-17,675-43,115-60,361-215,575-301,805-870,923-1,509,025-4,354,615-6,096,461-21,773,075-30,482,305-152,411,525

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