Q: What are the factor combinations of the number 376,475?

 A:
Positive:   1 x 3764755 x 7529511 x 3422525 x 1505937 x 1017555 x 6845185 x 2035275 x 1369407 x 925
Negative: -1 x -376475-5 x -75295-11 x -34225-25 x -15059-37 x -10175-55 x -6845-185 x -2035-275 x -1369-407 x -925


How do I find the factor combinations of the number 376,475?

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 376,475, 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.

1 376,475
-1 -376,475

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 376,475.

Example:
1 x 376,475 = 376,475
and
-1 x -376,475 = 376,475
Notice both answers equal 376,475

With that explanation out of the way, let's continue. Next, we take the number 376,475 and divide it by 2:

376,475 ÷ 2 = 188,237.5

If the quotient is a whole number, then 2 and 188,237.5 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:

1 376,475
-1 -376,475

Now, we try dividing 376,475 by 3:

376,475 ÷ 3 = 125,491.6667

If the quotient is a whole number, then 3 and 125,491.6667 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:

1 376,475
-1 -376,475

Let's try dividing by 4:

376,475 ÷ 4 = 94,118.75

If the quotient is a whole number, then 4 and 94,118.75 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:

1 376,475
-1 376,475
Keep dividing by the next highest number until you cannot divide anymore.

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

15112537551852754079251,3692,0356,84510,17515,05934,22575,295376,475
-1-5-11-25-37-55-185-275-407-925-1,369-2,035-6,845-10,175-15,059-34,225-75,295-376,475

More Examples

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