Q: What are the factor combinations of the number 145,669,525?

 A:
Positive:   1 x 1456695255 x 2913390525 x 582678159 x 246897561 x 2388025295 x 493795305 x 4776051475 x 987591525 x 955211619 x 899753599 x 404758095 x 17995
Negative: -1 x -145669525-5 x -29133905-25 x -5826781-59 x -2468975-61 x -2388025-295 x -493795-305 x -477605-1475 x -98759-1525 x -95521-1619 x -89975-3599 x -40475-8095 x -17995


How do I find the factor combinations of the number 145,669,525?

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 145,669,525, 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.

1 145,669,525
-1 -145,669,525

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 145,669,525.

Example:
1 x 145,669,525 = 145,669,525
and
-1 x -145,669,525 = 145,669,525
Notice both answers equal 145,669,525

With that explanation out of the way, let's continue. Next, we take the number 145,669,525 and divide it by 2:

145,669,525 ÷ 2 = 72,834,762.5

If the quotient is a whole number, then 2 and 72,834,762.5 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:

1 145,669,525
-1 -145,669,525

Now, we try dividing 145,669,525 by 3:

145,669,525 ÷ 3 = 48,556,508.3333

If the quotient is a whole number, then 3 and 48,556,508.3333 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:

1 145,669,525
-1 -145,669,525

Let's try dividing by 4:

145,669,525 ÷ 4 = 36,417,381.25

If the quotient is a whole number, then 4 and 36,417,381.25 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:

1 145,669,525
-1 145,669,525
Keep dividing by the next highest number until you cannot divide anymore.

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

152559612953051,4751,5251,6193,5998,09517,99540,47589,97595,52198,759477,605493,7952,388,0252,468,9755,826,78129,133,905145,669,525
-1-5-25-59-61-295-305-1,475-1,525-1,619-3,599-8,095-17,995-40,475-89,975-95,521-98,759-477,605-493,795-2,388,025-2,468,975-5,826,781-29,133,905-145,669,525

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