Q: What are the prime factors of the number 8,248,432?

 A: 2, 19, 43, 631

Why are those the prime factors of the number 8,248,432?

Prime factors are the prime numbers that can be multipled together to equal the original number. You find the factors by dividing by prime numbers. It is best shown by creating a Factor Tree.

Factor Tree for the number 8,248,432

8,248,432
Factor Arrows
24,124,216
Factor Arrows
22,062,108
Factor Arrows
21,031,054
Factor Arrows
2515,527
Factor Arrows
1927,133
Factor Arrows
43631

The numbers in bold above are the prime factors. If there are multiples, you only count them one time. This leads us to our prime factors of:

2, 19, 43, 631

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 19 x 43 x 631 = 8,248,432

This can also be written as 24 x 191 x 431 x 6311 = 8,248,432

If you would like to know more, or need additional explanation, please review our prime factorization explanation.


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