Q: What are the factor combinations of the number 1,460,525?

 A:
Positive:   1 x 14605255 x 29210511 x 13277525 x 5842147 x 3107555 x 26555113 x 12925235 x 6215275 x 5311517 x 2825565 x 25851175 x 1243
Negative: -1 x -1460525-5 x -292105-11 x -132775-25 x -58421-47 x -31075-55 x -26555-113 x -12925-235 x -6215-275 x -5311-517 x -2825-565 x -2585-1175 x -1243


How do I find the factor combinations of the number 1,460,525?

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 1,460,525, 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 1,460,525
-1 -1,460,525

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 1,460,525.

Example:
1 x 1,460,525 = 1,460,525
and
-1 x -1,460,525 = 1,460,525
Notice both answers equal 1,460,525

With that explanation out of the way, let's continue. Next, we take the number 1,460,525 and divide it by 2:

1,460,525 ÷ 2 = 730,262.5

If the quotient is a whole number, then 2 and 730,262.5 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 1,460,525
-1 -1,460,525

Now, we try dividing 1,460,525 by 3:

1,460,525 ÷ 3 = 486,841.6667

If the quotient is a whole number, then 3 and 486,841.6667 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 1,460,525
-1 -1,460,525

Let's try dividing by 4:

1,460,525 ÷ 4 = 365,131.25

If the quotient is a whole number, then 4 and 365,131.25 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 1,460,525
-1 1,460,525
Keep dividing by the next highest number until you cannot divide anymore.

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

15112547551132352755175651,1751,2432,5852,8255,3116,21512,92526,55531,07558,421132,775292,1051,460,525
-1-5-11-25-47-55-113-235-275-517-565-1,175-1,243-2,585-2,825-5,311-6,215-12,925-26,555-31,075-58,421-132,775-292,105-1,460,525

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