Q: What are the factor combinations of the number 7,045,025?

 A:
Positive:   1 x 70450255 x 140900513 x 54192525 x 28180153 x 13292565 x 108385265 x 26585325 x 21677409 x 17225689 x 102251325 x 53172045 x 3445
Negative: -1 x -7045025-5 x -1409005-13 x -541925-25 x -281801-53 x -132925-65 x -108385-265 x -26585-325 x -21677-409 x -17225-689 x -10225-1325 x -5317-2045 x -3445


How do I find the factor combinations of the number 7,045,025?

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 7,045,025, 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 7,045,025
-1 -7,045,025

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 7,045,025.

Example:
1 x 7,045,025 = 7,045,025
and
-1 x -7,045,025 = 7,045,025
Notice both answers equal 7,045,025

With that explanation out of the way, let's continue. Next, we take the number 7,045,025 and divide it by 2:

7,045,025 ÷ 2 = 3,522,512.5

If the quotient is a whole number, then 2 and 3,522,512.5 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 7,045,025
-1 -7,045,025

Now, we try dividing 7,045,025 by 3:

7,045,025 ÷ 3 = 2,348,341.6667

If the quotient is a whole number, then 3 and 2,348,341.6667 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 7,045,025
-1 -7,045,025

Let's try dividing by 4:

7,045,025 ÷ 4 = 1,761,256.25

If the quotient is a whole number, then 4 and 1,761,256.25 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 7,045,025
-1 7,045,025
Keep dividing by the next highest number until you cannot divide anymore.

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

15132553652653254096891,3252,0453,4455,31710,22517,22521,67726,585108,385132,925281,801541,9251,409,0057,045,025
-1-5-13-25-53-65-265-325-409-689-1,325-2,045-3,445-5,317-10,225-17,225-21,677-26,585-108,385-132,925-281,801-541,925-1,409,005-7,045,025

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