Q: What are the prime factors of the number 103,643,932?

 A: 2, 7, 43, 86083

Why are those the prime factors of the number 103,643,932?

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 103,643,932

103,643,932
Factor Arrows
251,821,966
Factor Arrows
225,910,983
Factor Arrows
73,701,569
Factor Arrows
4386,083

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, 7, 43, 86083

We can check our work by multiplying all of the prime factors together: 2 x 2 x 7 x 43 x 86,083 = 103,643,932

This can also be written as 22 x 71 x 431 x 86,0831 = 103,643,932

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


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