Q: What are the factor combinations of the number 15,040,025?

 A:
Positive:   1 x 150400255 x 30080057 x 214857511 x 136727513 x 115692525 x 60160135 x 42971555 x 27345565 x 23138577 x 19532591 x 165275143 x 105175175 x 85943275 x 54691325 x 46277385 x 39065455 x 33055601 x 25025715 x 210351001 x 150251925 x 78132275 x 66113005 x 50053575 x 4207
Negative: -1 x -15040025-5 x -3008005-7 x -2148575-11 x -1367275-13 x -1156925-25 x -601601-35 x -429715-55 x -273455-65 x -231385-77 x -195325-91 x -165275-143 x -105175-175 x -85943-275 x -54691-325 x -46277-385 x -39065-455 x -33055-601 x -25025-715 x -21035-1001 x -15025-1925 x -7813-2275 x -6611-3005 x -5005-3575 x -4207


How do I find the factor combinations of the number 15,040,025?

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 15,040,025, 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 15,040,025
-1 -15,040,025

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 15,040,025.

Example:
1 x 15,040,025 = 15,040,025
and
-1 x -15,040,025 = 15,040,025
Notice both answers equal 15,040,025

With that explanation out of the way, let's continue. Next, we take the number 15,040,025 and divide it by 2:

15,040,025 ÷ 2 = 7,520,012.5

If the quotient is a whole number, then 2 and 7,520,012.5 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 15,040,025
-1 -15,040,025

Now, we try dividing 15,040,025 by 3:

15,040,025 ÷ 3 = 5,013,341.6667

If the quotient is a whole number, then 3 and 5,013,341.6667 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 15,040,025
-1 -15,040,025

Let's try dividing by 4:

15,040,025 ÷ 4 = 3,760,006.25

If the quotient is a whole number, then 4 and 3,760,006.25 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 15,040,025
-1 15,040,025
Keep dividing by the next highest number until you cannot divide anymore.

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

15711132535556577911431752753253854556017151,0011,9252,2753,0053,5754,2075,0056,6117,81315,02521,03525,02533,05539,06546,27754,69185,943105,175165,275195,325231,385273,455429,715601,6011,156,9251,367,2752,148,5753,008,00515,040,025
-1-5-7-11-13-25-35-55-65-77-91-143-175-275-325-385-455-601-715-1,001-1,925-2,275-3,005-3,575-4,207-5,005-6,611-7,813-15,025-21,035-25,025-33,055-39,065-46,277-54,691-85,943-105,175-165,275-195,325-231,385-273,455-429,715-601,601-1,156,925-1,367,275-2,148,575-3,008,005-15,040,025

More Examples

Here are some more numbers to try:

15,040,02315,040,02415,040,02615,040,027
Try the factor calculator

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